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processes</title> <meta name="description" content="Search results for: stochastic processes"> <meta name="keywords" content="stochastic processes"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="stochastic processes"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 1872</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: stochastic processes</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1872</span> The Effects of Misspecification of Stochastic Processes on Investment Appraisal</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=George%20Yungchih%20Wang">George Yungchih Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>For decades financial economists have been attempted to determine the optimal investment policy by recognizing the option value embedded in irreversible investment whose project value evolves as a geometric Brownian motion (GBM). This paper aims to examine the effects of the optimal investment trigger and of the misspecification of stochastic processes on investment in real options applications. Specifically, the former explores the consequence of adopting optimal investment rules on the distributions of corporate value under the correct assumption of stochastic process while the latter analyzes the influence on the distributions of corporate value as a result of the misspecification of stochastic processes, i.e., mistaking an alternative process as a GBM. It is found that adopting the correct optimal investment policy may increase corporate value by shifting the value distribution rightward, and the misspecification effect may decrease corporate value by shifting the value distribution leftward. The adoption of the optimal investment trigger has a major impact on investment to such an extent that the downside risk of investment is truncated at the project value of zero, thereby moving the value distributions rightward. The analytical framework is also extended to situations where collection lags are in place, and the result indicates that collection lags reduce the effects of investment trigger and misspecification on investment in an opposite way.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=GBM" title="GBM">GBM</a>, <a href="https://publications.waset.org/search?q=real%20options" title=" real options"> real options</a>, <a href="https://publications.waset.org/search?q=investment%20trigger" title=" investment trigger"> investment trigger</a>, <a href="https://publications.waset.org/search?q=misspecification" title="misspecification">misspecification</a>, <a href="https://publications.waset.org/search?q=collection%20lags" title=" collection lags"> collection lags</a> </p> <a href="https://publications.waset.org/1924/the-effects-of-misspecification-of-stochastic-processes-on-investment-appraisal" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1924/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1924/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1924/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1924/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1924/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1924/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1924/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1924/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1924/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1924/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1924.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1513</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1871</span> A Novel Approach of Route Choice in Stochastic Time-varying Networks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Siliang%20Wang">Siliang Wang</a>, <a href="https://publications.waset.org/search?q=Minghui%20Wang"> Minghui Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Many exist studies always use Markov decision processes (MDPs) in modeling optimal route choice in stochastic, time-varying networks. However, taking many variable traffic data and transforming them into optimal route decision is a computational challenge by employing MDPs in real transportation networks. In this paper we model finite horizon MDPs using directed hypergraphs. It is shown that the problem of route choice in stochastic, time-varying networks can be formulated as a minimum cost hyperpath problem, and it also can be solved in linear time. We finally demonstrate the significant computational advantages of the introduced methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Markov%20decision%20processes%20%28MDPs%29" title="Markov decision processes (MDPs)">Markov decision processes (MDPs)</a>, <a href="https://publications.waset.org/search?q=stochastictime-varying%20networks" title=" stochastictime-varying networks"> stochastictime-varying networks</a>, <a href="https://publications.waset.org/search?q=hypergraphs" title=" hypergraphs"> hypergraphs</a>, <a href="https://publications.waset.org/search?q=route%20choice." title=" route choice."> route choice.</a> </p> <a href="https://publications.waset.org/7130/a-novel-approach-of-route-choice-in-stochastic-time-varying-networks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7130/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7130/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7130/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7130/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7130/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7130/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7130/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7130/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7130/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7130/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7130.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1555</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1870</span> Stochastic Learning Algorithms for Modeling Human Category Learning</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Toshihiko%20Matsuka">Toshihiko Matsuka</a>, <a href="https://publications.waset.org/search?q=James%20E.%20Corter"> James E. Corter</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Most neural network (NN) models of human category learning use a gradient-based learning method, which assumes that locally-optimal changes are made to model parameters on each learning trial. This method tends to under predict variability in individual-level cognitive processes. In addition many recent models of human category learning have been criticized for not being able to replicate rapid changes in categorization accuracy and attention processes observed in empirical studies. In this paper we introduce stochastic learning algorithms for NN models of human category learning and show that use of the algorithms can result in (a) rapid changes in accuracy and attention allocation, and (b) different learning trajectories and more realistic variability at the individual-level. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=category%20learning" title="category learning">category learning</a>, <a href="https://publications.waset.org/search?q=cognitive%20modeling" title=" cognitive modeling"> cognitive modeling</a>, <a href="https://publications.waset.org/search?q=radial%20basis%0Afunction" title=" radial basis function"> radial basis function</a>, <a href="https://publications.waset.org/search?q=stochastic%20optimization." title=" stochastic optimization."> stochastic optimization.</a> </p> <a href="https://publications.waset.org/1202/stochastic-learning-algorithms-for-modeling-human-category-learning" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1202/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1202/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1202/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1202/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1202/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1202/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1202/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1202/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1202/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1202/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1202.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1629</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1869</span> A Study on Stochastic Integral Associated with Catastrophes</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20Reni%20Sagayaraj">M. Reni Sagayaraj</a>, <a href="https://publications.waset.org/search?q=S.%20Anand%20Gnana%20Selvam"> S. Anand Gnana Selvam</a>, <a href="https://publications.waset.org/search?q=R.%20Reynald%20Susainathan"> R. Reynald Susainathan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>We analyze stochastic integrals associated with a mutation process. To be specific, we describe the cell population process and derive the differential equations for the joint generating functions for the number of mutants and their integrals in generating functions and their applications. We obtain first-order moments of the processes of the two-way mutation process in first-order moment structure of X (t) and Y (t) and the second-order moments of a one-way mutation process. In this paper, we obtain the limiting behaviour of the integrals in limiting distributions of X (t) and Y (t).</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Stochastic%20integrals" title="Stochastic integrals">Stochastic integrals</a>, <a href="https://publications.waset.org/search?q=single%E2%80%93server%20queue%20model" title=" single鈥搒erver queue model"> single鈥搒erver queue model</a>, <a href="https://publications.waset.org/search?q=catastrophes" title=" catastrophes"> catastrophes</a>, <a href="https://publications.waset.org/search?q=busy%20period." title=" busy period."> busy period.</a> </p> <a href="https://publications.waset.org/10005954/a-study-on-stochastic-integral-associated-with-catastrophes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10005954/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10005954/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10005954/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10005954/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10005954/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10005954/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10005954/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10005954/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10005954/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10005954/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10005954.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">800</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1868</span> A Computational Stochastic Modeling Formalism for Biological Networks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Werner%20Sandmann">Werner Sandmann</a>, <a href="https://publications.waset.org/search?q=Verena%20Wolf"> Verena Wolf</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Stochastic models of biological networks are well established in systems biology, where the computational treatment of such models is often focused on the solution of the so-called chemical master equation via stochastic simulation algorithms. In contrast to this, the development of storage-efficient model representations that are directly suitable for computer implementation has received significantly less attention. Instead, a model is usually described in terms of a stochastic process or a "higher-level paradigm" with graphical representation such as e.g. a stochastic Petri net. A serious problem then arises due to the exponential growth of the model-s state space which is in fact a main reason for the popularity of stochastic simulation since simulation suffers less from the state space explosion than non-simulative numerical solution techniques. In this paper we present transition class models for the representation of biological network models, a compact mathematical formalism that circumvents state space explosion. Transition class models can also serve as an interface between different higher level modeling paradigms, stochastic processes and the implementation coded in a programming language. Besides, the compact model representation provides the opportunity to apply non-simulative solution techniques thereby preserving the possible use of stochastic simulation. Illustrative examples of transition class representations are given for an enzyme-catalyzed substrate conversion and a part of the bacteriophage λ lysis/lysogeny pathway.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Computational%20Modeling" title="Computational Modeling">Computational Modeling</a>, <a href="https://publications.waset.org/search?q=Biological%20Networks" title=" Biological Networks"> Biological Networks</a>, <a href="https://publications.waset.org/search?q=Stochastic%20Models" title="Stochastic Models">Stochastic Models</a>, <a href="https://publications.waset.org/search?q=Markov%20Chains" title=" Markov Chains"> Markov Chains</a>, <a href="https://publications.waset.org/search?q=Transition%20Class%20Models." title=" Transition Class Models."> Transition Class Models.</a> </p> <a href="https://publications.waset.org/5322/a-computational-stochastic-modeling-formalism-for-biological-networks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5322/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5322/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5322/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5322/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5322/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5322/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5322/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5322/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5322/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5322/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5322.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1579</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1867</span> Calculation of Reorder Point Level under Stochastic Parameters: A Case Study in Healthcare Area</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Serap%20Akcan">Serap Akcan</a>, <a href="https://publications.waset.org/search?q=Ali%20Kokangul"> Ali Kokangul</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We consider a single-echelon, single-item inventory system where both demand and lead-time are stochastic. Continuous review policy is used to control the inventory system. The objective is to calculate the reorder point level under stochastic parameters. A case study is presented in Neonatal Intensive Care Unit. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Inventory%20control%20system" title="Inventory control system">Inventory control system</a>, <a href="https://publications.waset.org/search?q=reorder%20point%20level" title=" reorder point level"> reorder point level</a>, <a href="https://publications.waset.org/search?q=stochastic%20demand" title=" stochastic demand"> stochastic demand</a>, <a href="https://publications.waset.org/search?q=stochastic%20lead%20time" title=" stochastic lead time"> stochastic lead time</a> </p> <a href="https://publications.waset.org/9483/calculation-of-reorder-point-level-under-stochastic-parameters-a-case-study-in-healthcare-area" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9483/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9483/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9483/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9483/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9483/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9483/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9483/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9483/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9483/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9483/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9483.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3535</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1866</span> Optimization of Communication Protocols by stochastic Delay Mechanisms</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=J.%20Levendovszky">J. Levendovszky</a>, <a href="https://publications.waset.org/search?q=I.%20Koncz"> I. Koncz</a>, <a href="https://publications.waset.org/search?q=P.%20Boros"> P. Boros</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The paper is concerned with developing stochastic delay mechanisms for efficient multicast protocols and for smooth mobile handover processes which are capable of preserving a given Quality of Service (QoS). In both applications the participating entities (receiver nodes or subscribers) sample a stochastic timer and generate load after a random delay. In this way, the load on the networking resources is evenly distributed which helps to maintain QoS communication. The optimal timer distributions have been sought in different p.d.f. families (e.g. exponential, power law and radial basis function) and the optimal parameter have been found in a recursive manner. Detailed simulations have demonstrated the improvement in performance both in the case of multicast and mobile handover applications.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Multicast%20communication" title="Multicast communication">Multicast communication</a>, <a href="https://publications.waset.org/search?q=stochactic%20delay%20mechanisms." title=" stochactic delay mechanisms."> stochactic delay mechanisms.</a> </p> <a href="https://publications.waset.org/3643/optimization-of-communication-protocols-by-stochastic-delay-mechanisms" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3643/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3643/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3643/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3643/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3643/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3643/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3643/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3643/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3643/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3643/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3643.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1549</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1865</span> Non-Stationary Stochastic Optimization of an Oscillating Water Column</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mar%C3%ADa%20L.%20Jal%C3%B3n">Mar铆a L. Jal贸n</a>, <a href="https://publications.waset.org/search?q=Feargal%20Brennan"> Feargal Brennan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A non-stationary stochastic optimization methodology is applied to an OWC (oscillating water column) to find the design that maximizes the wave energy extraction. Different temporal cycles are considered to represent the long-term variability of the wave climate at the site in the optimization problem. The results of the non-stationary stochastic optimization problem are compared against those obtained by a stationary stochastic optimization problem. The comparative analysis reveals that the proposed non-stationary optimization provides designs with a better fit to reality. However, the stationarity assumption can be adequate when looking at averaged system response. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Non-stationary%20stochastic%20optimization" title="Non-stationary stochastic optimization">Non-stationary stochastic optimization</a>, <a href="https://publications.waset.org/search?q=oscillating%0D%0Awater%20column" title=" oscillating water column"> oscillating water column</a>, <a href="https://publications.waset.org/search?q=temporal%20variability" title=" temporal variability"> temporal variability</a>, <a href="https://publications.waset.org/search?q=wave%20energy." title=" wave energy."> wave energy.</a> </p> <a href="https://publications.waset.org/10007489/non-stationary-stochastic-optimization-of-an-oscillating-water-column" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10007489/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10007489/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10007489/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10007489/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10007489/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10007489/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10007489/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10007489/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10007489/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10007489/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10007489.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1379</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1864</span> Dynamic Slope Scaling Procedure for Stochastic Integer Programming Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Takayuki%20Shiina">Takayuki Shiina</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mathematical programming has been applied to various problems. For many actual problems, the assumption that the parameters involved are deterministic known data is often unjustified. In such cases, these data contain uncertainty and are thus represented as random variables, since they represent information about the future. Decision-making under uncertainty involves potential risk. Stochastic programming is a commonly used method for optimization under uncertainty. A stochastic programming problem with recourse is referred to as a two-stage stochastic problem. In this study, we consider a stochastic programming problem with simple integer recourse in which the value of the recourse variable is restricted to a multiple of a nonnegative integer. The algorithm of a dynamic slope scaling procedure for solving this problem is developed by using a property of the expected recourse function. Numerical experiments demonstrate that the proposed algorithm is quite efficient. The stochastic programming model defined in this paper is quite useful for a variety of design and operational problems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=stochastic%20programming%20problem%20with%20recourse" title="stochastic programming problem with recourse">stochastic programming problem with recourse</a>, <a href="https://publications.waset.org/search?q=simple%0Ainteger%20recourse" title=" simple integer recourse"> simple integer recourse</a>, <a href="https://publications.waset.org/search?q=dynamic%20slope%20scaling%20procedure" title=" dynamic slope scaling procedure"> dynamic slope scaling procedure</a> </p> <a href="https://publications.waset.org/7142/dynamic-slope-scaling-procedure-for-stochastic-integer-programming-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7142/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7142/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7142/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7142/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7142/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7142/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7142/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7142/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7142/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7142/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7142.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1616</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1863</span> Stochastic Estimation of Cavity Flowfield</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yin%20Yin%20Pey">Yin Yin Pey</a>, <a href="https://publications.waset.org/search?q=Leok%20Poh%20Chua"> Leok Poh Chua</a>, <a href="https://publications.waset.org/search?q=Wei%20Long%20Siauw"> Wei Long Siauw</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Linear stochastic estimation and quadratic stochastic estimation techniques were applied to estimate the entire velocity flow-field of an open cavity with a length to depth ratio of 2. The estimations were done through the use of instantaneous velocity magnitude as estimators. These measurements were obtained by Particle Image Velocimetry. The predicted flow was compared against the original flow-field in terms of the Reynolds stresses and turbulent kinetic energy. Quadratic stochastic estimation proved to be more superior than linear stochastic estimation in resolving the shear layer flow. When the velocity fluctuations were scaled up in the quadratic estimate, both the time-averaged quantities and the instantaneous cavity flow can be predicted to a rather accurate extent. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Open%20cavity" title="Open cavity">Open cavity</a>, <a href="https://publications.waset.org/search?q=Particle%20Image%20Velocimetry" title=" Particle Image Velocimetry"> Particle Image Velocimetry</a>, <a href="https://publications.waset.org/search?q=Stochastic%0Aestimation" title=" Stochastic estimation"> Stochastic estimation</a>, <a href="https://publications.waset.org/search?q=Turbulent%20kinetic%20energy." title=" Turbulent kinetic energy."> Turbulent kinetic energy.</a> </p> <a href="https://publications.waset.org/11681/stochastic-estimation-of-cavity-flowfield" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/11681/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/11681/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/11681/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/11681/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/11681/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/11681/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/11681/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/11681/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/11681/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/11681/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/11681.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1714</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1862</span> Stochastic Programming Model for Power Generation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Takayuki%20Shiina">Takayuki Shiina</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We consider power system expansion planning under uncertainty. In our approach, integer programming and stochastic programming provide a basic framework. We develop a multistage stochastic programming model in which some of the variables are restricted to integer values. By utilizing the special property of the problem, called block separable recourse, the problem is transformed into a two-stage stochastic program with recourse. The electric power capacity expansion problem is reformulated as the problem with first stage integer variables and continuous second stage variables. The L-shaped algorithm to solve the problem is proposed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=electric%20power%20capacity%20expansion%20problem" title="electric power capacity expansion problem">electric power capacity expansion problem</a>, <a href="https://publications.waset.org/search?q=integerprogramming" title=" integerprogramming"> integerprogramming</a>, <a href="https://publications.waset.org/search?q=L-shaped%20method" title=" L-shaped method"> L-shaped method</a>, <a href="https://publications.waset.org/search?q=stochastic%20programming" title=" stochastic programming"> stochastic programming</a> </p> <a href="https://publications.waset.org/15305/stochastic-programming-model-for-power-generation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15305/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15305/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15305/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15305/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15305/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15305/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15305/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15305/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15305/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15305/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15305.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1825</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1861</span> Stochastic Scheduling to Minimize Expected Lateness in Multiple Identical Machines</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ghulam%20Zakria">Ghulam Zakria</a>, <a href="https://publications.waset.org/search?q=Zailin%20Guan"> Zailin Guan </a>, <a href="https://publications.waset.org/search?q=Yasser%20Riaz%20Awan">Yasser Riaz Awan</a>, <a href="https://publications.waset.org/search?q=Wan%20Lizhi"> Wan Lizhi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> There are many real world problems in which parameters like the arrival time of new jobs, failure of resources, and completion time of jobs change continuously. This paper tackles the problem of scheduling jobs with random due dates on multiple identical machines in a stochastic environment. First to assign jobs to different machine centers LPT scheduling methods have been used, after that the particular sequence of jobs to be processed on the machine have been found using simple stochastic techniques. The performance parameter under consideration has been the maximum lateness concerning the stochastic due dates which are independent and exponentially distributed. At the end a relevant problem has been solved using the techniques in the paper.. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Quantity%20Production%20Flow%20Shop" title="Quantity Production Flow Shop">Quantity Production Flow Shop</a>, <a href="https://publications.waset.org/search?q=LPT%20Scheduling" title=" LPT Scheduling"> LPT Scheduling</a>, <a href="https://publications.waset.org/search?q=Stochastic%20Scheduling" title="Stochastic Scheduling">Stochastic Scheduling</a>, <a href="https://publications.waset.org/search?q=Maximum%20Lateness" title=" Maximum Lateness"> Maximum Lateness</a>, <a href="https://publications.waset.org/search?q=Random%20Due%20Dates" title=" Random Due Dates"> Random Due Dates</a> </p> <a href="https://publications.waset.org/3970/stochastic-scheduling-to-minimize-expected-lateness-in-multiple-identical-machines" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3970/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3970/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3970/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3970/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3970/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3970/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3970/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3970/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3970/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3970/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3970.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1393</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1860</span> Comparison of Reliability Systems Based Uncertainty</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=A.%20Aissani">A. Aissani</a>, <a href="https://publications.waset.org/search?q=H.%20Benaoudia"> H. Benaoudia</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Stochastic comparison has been an important direction of research in various area. This can be done by the use of the notion of stochastic ordering which gives qualitatitive rather than purely quantitative estimation of the system under study. In this paper we present applications of comparison based uncertainty related to entropy in Reliability analysis, for example to design better systems. These results can be used as a priori information in simulation studies. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Uncertainty" title="Uncertainty">Uncertainty</a>, <a href="https://publications.waset.org/search?q=Stochastic%20comparison" title=" Stochastic comparison"> Stochastic comparison</a>, <a href="https://publications.waset.org/search?q=Reliability" title=" Reliability"> Reliability</a>, <a href="https://publications.waset.org/search?q=serie%27s%20system" title="serie's system">serie's system</a>, <a href="https://publications.waset.org/search?q=imperfect%20repair." title=" imperfect repair."> imperfect repair.</a> </p> <a href="https://publications.waset.org/13700/comparison-of-reliability-systems-based-uncertainty" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13700/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13700/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13700/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13700/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13700/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13700/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13700/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13700/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13700/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13700/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13700.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1254</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1859</span> On Diffusion Approximation of Discrete Markov Dynamical Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jevgenijs%20Carkovs">Jevgenijs Carkovs</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper is devoted to stochastic analysis of finite dimensional difference equation with dependent on ergodic Markov chain increments, which are proportional to small parameter ". A point-form solution of this difference equation may be represented as vertexes of a time-dependent continuous broken line given on the segment [0,1] with "-dependent scaling of intervals between vertexes. Tending " to zero one may apply stochastic averaging and diffusion approximation procedures and construct continuous approximation of the initial stochastic iterations as an ordinary or stochastic Ito differential equation. The paper proves that for sufficiently small " these equations may be successfully applied not only to approximate finite number of iterations but also for asymptotic analysis of iterations, when number of iterations tends to infinity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Markov%20dynamical%20system" title="Markov dynamical system">Markov dynamical system</a>, <a href="https://publications.waset.org/search?q=diffusion%20approximation" title=" diffusion approximation"> diffusion approximation</a>, <a href="https://publications.waset.org/search?q=equilibrium%20stochastic%20stability." title="equilibrium stochastic stability.">equilibrium stochastic stability.</a> </p> <a href="https://publications.waset.org/4982/on-diffusion-approximation-of-discrete-markov-dynamical-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4982/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4982/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4982/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4982/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4982/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4982/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4982/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4982/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4982/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4982/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4982.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1578</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1858</span> The Strict Stability of Impulsive Stochastic Functional Differential Equations with Markovian Switching</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Dezhi%20Liu%20Guiyuan%20Yang%20Wei%20Zhang">Dezhi Liu Guiyuan Yang Wei Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Strict stability can present the rate of decay of the solution, so more and more investigators are beginning to study the topic and some results have been obtained. However, there are few results about strict stability of stochastic differential equations. In this paper, using Lyapunov functions and Razumikhin technique, we have gotten some criteria for the strict stability of impulsive stochastic functional differential equations with markovian switching. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Impulsive%3B%20Stochastic%20functional%20differential%20equation%3B%20Strict%20stability%3B%20Razumikhin%20technique." title="Impulsive; Stochastic functional differential equation; Strict stability; Razumikhin technique.">Impulsive; Stochastic functional differential equation; Strict stability; Razumikhin technique.</a> </p> <a href="https://publications.waset.org/15649/the-strict-stability-of-impulsive-stochastic-functional-differential-equations-with-markovian-switching" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15649/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15649/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15649/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15649/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15649/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15649/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15649/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15649/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15649/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15649/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15649.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1287</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1857</span> Mean Square Stability of Impulsive Stochastic Delay Differential Equations with Markovian Switching and Poisson Jumps</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Dezhi%20Liu">Dezhi Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In the paper, based on stochastic analysis theory and Lyapunov functional method, we discuss the mean square stability of impulsive stochastic delay differential equations with markovian switching and poisson jumps, and the sufficient conditions of mean square stability have been obtained. One example illustrates the main results. Furthermore, some well-known results are improved and generalized in the remarks.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Impulsive" title="Impulsive">Impulsive</a>, <a href="https://publications.waset.org/search?q=stochastic" title=" stochastic"> stochastic</a>, <a href="https://publications.waset.org/search?q=delay" title=" delay"> delay</a>, <a href="https://publications.waset.org/search?q=Markovian%20switching" title=" Markovian switching"> Markovian switching</a>, <a href="https://publications.waset.org/search?q=Poisson%20jumps" title=" Poisson jumps"> Poisson jumps</a>, <a href="https://publications.waset.org/search?q=mean%20square%20stability." title=" mean square stability."> mean square stability.</a> </p> <a href="https://publications.waset.org/6075/mean-square-stability-of-impulsive-stochastic-delay-differential-equations-with-markovian-switching-and-poisson-jumps" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6075/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6075/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6075/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6075/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6075/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6075/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6075/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6075/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6075/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6075/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6075.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1560</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1856</span> Segmentation of Noisy Digital Images with Stochastic Gradient Kernel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Abhishek%20Neogi">Abhishek Neogi</a>, <a href="https://publications.waset.org/search?q=Jayesh%20Verma"> Jayesh Verma</a>, <a href="https://publications.waset.org/search?q=Pinaki%20Pratim%20Acharjya"> Pinaki Pratim Acharjya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Image segmentation and edge detection is a fundamental section in image processing. In case of noisy images Edge Detection is very less effective if we use conventional Spatial Filters like Sobel, Prewitt, LOG, Laplacian etc. To overcome this problem we have proposed the use of Stochastic Gradient Mask instead of Spatial Filters for generating gradient images. The present study has shown that the resultant images obtained by applying Stochastic Gradient Masks appear to be much clearer and sharper as per Edge detection is considered. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Image%20segmentation" title="Image segmentation">Image segmentation</a>, <a href="https://publications.waset.org/search?q=edge%20Detection" title=" edge Detection"> edge Detection</a>, <a href="https://publications.waset.org/search?q=noisy%20images" title=" noisy images"> noisy images</a>, <a href="https://publications.waset.org/search?q=spatialfilters" title=" spatialfilters"> spatialfilters</a>, <a href="https://publications.waset.org/search?q=stochastic%20gradient%20kernel." title=" stochastic gradient kernel."> stochastic gradient kernel.</a> </p> <a href="https://publications.waset.org/10001671/segmentation-of-noisy-digital-images-with-stochastic-gradient-kernel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001671/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001671/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001671/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001671/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001671/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001671/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001671/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001671/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001671/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001671/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001671.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1520</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1855</span> Noise Analysis of Single-Ended Input Differential Amplifier using Stochastic Differential Equation </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Tarun%20Kumar%20Rawat">Tarun Kumar Rawat</a>, <a href="https://publications.waset.org/search?q=Abhirup%20Lahiri"> Abhirup Lahiri</a>, <a href="https://publications.waset.org/search?q=Ashish%20Gupta"> Ashish Gupta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we analyze the effect of noise in a single- ended input differential amplifier working at high frequencies. Both extrinsic and intrinsic noise are analyzed using time domain method employing techniques from stochastic calculus. Stochastic differential equations are used to obtain autocorrelation functions of the output noise voltage and other solution statistics like mean and variance. The analysis leads to important design implications and suggests changes in the device parameters for improved noise characteristics of the differential amplifier.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Single-ended%20input%20differential%20amplifier" title="Single-ended input differential amplifier">Single-ended input differential amplifier</a>, <a href="https://publications.waset.org/search?q=Noise" title=" Noise"> Noise</a>, <a href="https://publications.waset.org/search?q=stochastic%20differential%20equation" title=" stochastic differential equation"> stochastic differential equation</a>, <a href="https://publications.waset.org/search?q=mean%20and%20variance." title=" mean and variance."> mean and variance.</a> </p> <a href="https://publications.waset.org/8383/noise-analysis-of-single-ended-input-differential-amplifier-using-stochastic-differential-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8383/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8383/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8383/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8383/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8383/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8383/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8383/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8383/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8383/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8383/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8383.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1722</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1854</span> A Scenario-Based Approach for the Air Traffic Flow Management Problem with Stochastic Capacities</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Soumia%20Ichoua"> Soumia Ichoua</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we investigate the strategic stochastic air traffic flow management problem which seeks to balance airspace capacity and demand under weather disruptions. The goal is to reduce the need for myopic tactical decisions that do not account for probabilistic knowledge about the NAS near-future states. We present and discuss a scenario-based modeling approach based on a time-space stochastic process to depict weather disruption occurrences in the NAS. A solution framework is also proposed along with a distributed implementation aimed at overcoming scalability problems. Issues related to this implementation are also discussed.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Air%20traffic%20management" title=" Air traffic management"> Air traffic management</a>, <a href="https://publications.waset.org/search?q=sample%20average%20approximation" title=" sample average approximation"> sample average approximation</a>, <a href="https://publications.waset.org/search?q=scenario-based%20approach" title=" scenario-based approach"> scenario-based approach</a>, <a href="https://publications.waset.org/search?q=stochastic%20capacity." title=" stochastic capacity."> stochastic capacity.</a> </p> <a href="https://publications.waset.org/16059/a-scenario-based-approach-for-the-air-traffic-flow-management-problem-with-stochastic-capacities" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16059/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16059/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16059/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16059/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16059/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16059/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16059/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16059/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16059/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16059/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16059.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2085</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1853</span> PTH Moment Exponential Stability of Stochastic Recurrent Neural Networks with Distributed Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Zixin%20Liu">Zixin Liu</a>, <a href="https://publications.waset.org/search?q=Jianjun%20Jiao%20Wanping%20Bai"> Jianjun Jiao Wanping Bai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, the issue of pth moment exponential stability of stochastic recurrent neural network with distributed time delays is investigated. By using the method of variation parameters, inequality techniques, and stochastic analysis, some sufficient conditions ensuring pth moment exponential stability are obtained. The method used in this paper does not resort to any Lyapunov function, and the results derived in this paper generalize some earlier criteria reported in the literature. One numerical example is given to illustrate the main results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Stochastic%20recurrent%20neural%20networks" title="Stochastic recurrent neural networks">Stochastic recurrent neural networks</a>, <a href="https://publications.waset.org/search?q=pth%20moment%20exponential%20stability" title=" pth moment exponential stability"> pth moment exponential stability</a>, <a href="https://publications.waset.org/search?q=distributed%20time%20delays." title=" distributed time delays."> distributed time delays.</a> </p> <a href="https://publications.waset.org/2489/pth-moment-exponential-stability-of-stochastic-recurrent-neural-networks-with-distributed-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2489/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2489/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2489/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2489/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2489/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2489/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2489/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2489/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2489/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2489/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2489.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1254</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1852</span> Passivity Analysis of Stochastic Neural Networks With Multiple Time Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Biao%20Qin">Biao Qin</a>, <a href="https://publications.waset.org/search?q=Jin%20Huang"> Jin Huang</a>, <a href="https://publications.waset.org/search?q=Jiaojiao%20Ren"> Jiaojiao Ren</a>, <a href="https://publications.waset.org/search?q=Wei%20Kang"> Wei Kang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper deals with the problem of passivity analysis for stochastic neural networks with leakage, discrete and distributed delays. By using delay partitioning technique, free weighting matrix method and stochastic analysis technique, several sufficient conditions for the passivity of the addressed neural networks are established in terms of linear matrix inequalities (LMIs), in which both the time-delay and its time derivative can be fully considered. A numerical example is given to show the usefulness and effectiveness of the obtained results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Passivity" title="Passivity">Passivity</a>, <a href="https://publications.waset.org/search?q=Stochastic%20neural%20networks" title=" Stochastic neural networks"> Stochastic neural networks</a>, <a href="https://publications.waset.org/search?q=Multiple%20time%0D%0Adelays" title=" Multiple time delays"> Multiple time delays</a>, <a href="https://publications.waset.org/search?q=Linear%20matrix%20inequalities%20%28LMIs%29." title=" Linear matrix inequalities (LMIs)."> Linear matrix inequalities (LMIs).</a> </p> <a href="https://publications.waset.org/9999569/passivity-analysis-of-stochastic-neural-networks-with-multiple-time-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999569/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999569/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999569/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999569/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999569/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999569/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999569/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999569/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999569/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999569/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999569.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1703</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1851</span> Existence of Solution of Nonlinear Second Order Neutral Stochastic Differential Inclusions with Infinite Delay</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yong%20Li">Yong Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The paper is concerned with the existence of solution of nonlinear second order neutral stochastic differential inclusions with infinite delay in a Hilbert Space. Sufficient conditions for the existence are obtained by using a fixed point theorem for condensing maps.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Mild%20solution" title="Mild solution">Mild solution</a>, <a href="https://publications.waset.org/search?q=Convex%20multivalued%20map" title=" Convex multivalued map"> Convex multivalued map</a>, <a href="https://publications.waset.org/search?q=Neutral%0D%0Astochastic%20differential%20inclusions." title=" Neutral stochastic differential inclusions."> Neutral stochastic differential inclusions.</a> </p> <a href="https://publications.waset.org/9999324/existence-of-solution-of-nonlinear-second-order-neutral-stochastic-differential-inclusions-with-infinite-delay" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999324/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999324/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999324/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999324/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999324/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999324/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999324/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999324/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999324/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999324/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999324.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1604</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1850</span> Formulating the Stochastic Finite Elements for Free Vibration Analysis of Plates with Variable Elastic Modulus</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mojtaba%20Aghamiri%20Esfahani">Mojtaba Aghamiri Esfahani</a>, <a href="https://publications.waset.org/search?q=Mohammad%20Karkon"> Mohammad Karkon</a>, <a href="https://publications.waset.org/search?q=Seyed%20Majid%20Hosseini%20Nezhad"> Seyed Majid Hosseini Nezhad</a>, <a href="https://publications.waset.org/search?q=Reza%20Hosseini-Ara"> Reza Hosseini-Ara </a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this study, the effect of uncertainty in elastic modulus of a plate on free vibration response is investigated. For this purpose, the elastic modulus of the plate is modeled as stochastic variable with normal distribution. Moreover, the distance autocorrelation function is used for stochastic field. Then, by applying the finite element method and Monte Carlo simulation, stochastic finite element relations are extracted. Finally, with a numerical test, the effect of uncertainty in the elastic modulus on free vibration response of a plate is studied. The results show that the effect of uncertainty in elastic modulus of the plate cannot play an important role on the free vibration response.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Stochastic%20finite%20elements" title="Stochastic finite elements">Stochastic finite elements</a>, <a href="https://publications.waset.org/search?q=plate%20bending" title=" plate bending"> plate bending</a>, <a href="https://publications.waset.org/search?q=free%20vibration" title=" free vibration"> free vibration</a>, <a href="https://publications.waset.org/search?q=Monte%20Carlo" title=" Monte Carlo"> Monte Carlo</a>, <a href="https://publications.waset.org/search?q=Neumann%20expansion%20method." title=" Neumann expansion method."> Neumann expansion method.</a> </p> <a href="https://publications.waset.org/10004213/formulating-the-stochastic-finite-elements-for-free-vibration-analysis-of-plates-with-variable-elastic-modulus" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10004213/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10004213/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10004213/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10004213/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10004213/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10004213/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10004213/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10004213/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10004213/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10004213/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10004213.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1693</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1849</span> Stochastic Comparisons of Heterogeneous Samples with Homogeneous Exponential Samples</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Nitin%20Gupta">Nitin Gupta</a>, <a href="https://publications.waset.org/search?q=Rakesh%20Kumar%20Bajaj"> Rakesh Kumar Bajaj</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present communication, stochastic comparison of a series (parallel) system having heterogeneous components with random lifetimes and series (parallel) system having homogeneous exponential components with random lifetimes has been studied. Further, conditions under which such a comparison is possible has been established. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Exponential%20distribution" title="Exponential distribution">Exponential distribution</a>, <a href="https://publications.waset.org/search?q=Order%20statistics" title=" Order statistics"> Order statistics</a>, <a href="https://publications.waset.org/search?q=Star%20ordering" title=" Star ordering"> Star ordering</a>, <a href="https://publications.waset.org/search?q=Stochastic%20ordering." title=" Stochastic ordering."> Stochastic ordering.</a> </p> <a href="https://publications.waset.org/8260/stochastic-comparisons-of-heterogeneous-samples-with-homogeneous-exponential-samples" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8260/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8260/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8260/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8260/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8260/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8260/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8260/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8260/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8260/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8260/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8260.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1564</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1848</span> Simulation of Sample Paths of Non Gaussian Stationary Random Fields</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Fabrice%20Poirion">Fabrice Poirion</a>, <a href="https://publications.waset.org/search?q=Benedicte%20Puig"> Benedicte Puig</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Mathematical justifications are given for a simulation technique of multivariate nonGaussian random processes and fields based on Rosenblatt-s transformation of Gaussian processes. Different types of convergences are given for the approaching sequence. Moreover an original numerical method is proposed in order to solve the functional equation yielding the underlying Gaussian process autocorrelation function.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Simulation" title="Simulation">Simulation</a>, <a href="https://publications.waset.org/search?q=nonGaussian" title=" nonGaussian"> nonGaussian</a>, <a href="https://publications.waset.org/search?q=random%20field" title=" random field"> random field</a>, <a href="https://publications.waset.org/search?q=multivariate" title=" multivariate"> multivariate</a>, <a href="https://publications.waset.org/search?q=stochastic%20process." title=" stochastic process."> stochastic process.</a> </p> <a href="https://publications.waset.org/3523/simulation-of-sample-paths-of-non-gaussian-stationary-random-fields" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3523/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3523/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3523/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3523/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3523/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3523/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3523/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3523/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3523/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3523/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3523.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1839</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1847</span> Stability Analysis of Impulsive Stochastic Fuzzy Cellular Neural Networks with Time-varying Delays and Reaction-diffusion Terms</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Xinhua%20Zhang">Xinhua Zhang</a>, <a href="https://publications.waset.org/search?q=Kelin%20Li"> Kelin Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, the problem of stability analysis for a class of impulsive stochastic fuzzy neural networks with timevarying delays and reaction-diffusion is considered. By utilizing suitable Lyapunov-Krasovskii funcational, the inequality technique and stochastic analysis technique, some sufficient conditions ensuring global exponential stability of equilibrium point for impulsive stochastic fuzzy cellular neural networks with time-varying delays and diffusion are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on system parameters, diffusion effect and impulsive disturbed intention. It is believed that these results are significant and useful for the design and applications of fuzzy neural networks. An example is given to show the effectiveness of the obtained results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Exponential%20stability" title="Exponential stability">Exponential stability</a>, <a href="https://publications.waset.org/search?q=stochastic%20fuzzy%20cellular%20neural%20networks" title=" stochastic fuzzy cellular neural networks"> stochastic fuzzy cellular neural networks</a>, <a href="https://publications.waset.org/search?q=time-varying%20delays" title=" time-varying delays"> time-varying delays</a>, <a href="https://publications.waset.org/search?q=impulses" title=" impulses"> impulses</a>, <a href="https://publications.waset.org/search?q=reaction-diffusion%20terms." title=" reaction-diffusion terms."> reaction-diffusion terms.</a> </p> <a href="https://publications.waset.org/4717/stability-analysis-of-impulsive-stochastic-fuzzy-cellular-neural-networks-with-time-varying-delays-and-reaction-diffusion-terms" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4717/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4717/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4717/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4717/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4717/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4717/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4717/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4717/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4717/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4717/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4717.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1382</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1846</span> Mean Square Exponential Synchronization of Stochastic Neutral Type Chaotic Neural Networks with Mixed Delay</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Zixin%20Liu">Zixin Liu</a>, <a href="https://publications.waset.org/search?q=Huawei%20Yang"> Huawei Yang</a>, <a href="https://publications.waset.org/search?q=Fangwei%20Chen"> Fangwei Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper studies the mean square exponential synchronization problem of a class of stochastic neutral type chaotic neural networks with mixed delay. On the Basis of Lyapunov stability theory, some sufficient conditions ensuring the mean square exponential synchronization of two identical chaotic neural networks are obtained by using stochastic analysis and inequality technique. These conditions are expressed in the form of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using Matlab LMI Toolbox. The feedback controller used in this paper is more general than those used in previous literatures. One simulation example is presented to demonstrate the effectiveness of the derived results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Exponential%20synchronization" title="Exponential synchronization">Exponential synchronization</a>, <a href="https://publications.waset.org/search?q=stochastic%20analysis" title=" stochastic analysis"> stochastic analysis</a>, <a href="https://publications.waset.org/search?q=chaotic%20neural%20networks" title=" chaotic neural networks"> chaotic neural networks</a>, <a href="https://publications.waset.org/search?q=neutral%20type%20system." title=" neutral type system."> neutral type system.</a> </p> <a href="https://publications.waset.org/7084/mean-square-exponential-synchronization-of-stochastic-neutral-type-chaotic-neural-networks-with-mixed-delay" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7084/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7084/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7084/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7084/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7084/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7084/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7084/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7084/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7084/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7084/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7084.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1558</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1845</span> Stochastic Mixed 0-1 Integer Programming Applied to International Transportation Problems under Uncertainty</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Y.%20Wu">Y. Wu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Today-s business has inevitably been set in the global supply chain management environment. International transportation has never played such an important role in the global supply chain network, because movement of shipments from one country to another tends to be more frequent than ever before. This paper studies international transportation problems experienced by an international transportation company. Because of the limited fleet capacity, the transportation company has to hire additional trucks from two countries in advance. However, customer-s shipment information is uncertain, and decisions have to be made before accurate information can be obtained. This paper proposes a stochastic mixed 0-1 programming model to solve the international transportation problems under uncertain demand. A series of experiments demonstrate the effectiveness of the proposed stochastic model.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Global%20supply%20chain%20management" title="Global supply chain management">Global supply chain management</a>, <a href="https://publications.waset.org/search?q=international%20transportation" title=" international transportation"> international transportation</a>, <a href="https://publications.waset.org/search?q=stochastic%20programming." title=" stochastic programming."> stochastic programming.</a> </p> <a href="https://publications.waset.org/1160/stochastic-mixed-0-1-integer-programming-applied-to-international-transportation-problems-under-uncertainty" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1160/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1160/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1160/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1160/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1160/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1160/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1160/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1160/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1160/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1160/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1160.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1620</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1844</span> A New Application of Stochastic Transformation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Nilar%20Win%20Kyaw">Nilar Win Kyaw</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In cryptography, confusion and diffusion are very important to get confidentiality and privacy of message in block ciphers and stream ciphers. There are two types of network to provide confusion and diffusion properties of message in block ciphers. They are Substitution- Permutation network (S-P network), and Feistel network. NLFS (Non-Linear feedback stream cipher) is a fast and secure stream cipher for software application. NLFS have two modes basic mode that is synchronous mode and self synchronous mode. Real random numbers are non-deterministic. R-box (random box) based on the dynamic properties and it performs the stochastic transformation of data that can be used effectively meet the challenges of information is protected from international destructive impacts. In this paper, a new implementation of stochastic transformation will be proposed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=S-P%20network" title="S-P network">S-P network</a>, <a href="https://publications.waset.org/search?q=Feistel%20network" title=" Feistel network"> Feistel network</a>, <a href="https://publications.waset.org/search?q=R-block" title=" R-block"> R-block</a>, <a href="https://publications.waset.org/search?q=stochastic%20transformation" title="stochastic transformation">stochastic transformation</a> </p> <a href="https://publications.waset.org/8157/a-new-application-of-stochastic-transformation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8157/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8157/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8157/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8157/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8157/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8157/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8157/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8157/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8157/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8157/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8157.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1513</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1843</span> Stability of Stochastic Model Predictive Control for Schr枚dinger Equation with Finite Approximation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Tomoaki%20Hashimoto">Tomoaki Hashimoto</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Recent technological advance has prompted significant interest in developing the control theory of quantum systems. Following the increasing interest in the control of quantum dynamics, this paper examines the control problem of Schrödinger equation because quantum dynamics is basically governed by Schrödinger equation. From the practical point of view, stochastic disturbances cannot be avoided in the implementation of control method for quantum systems. Thus, we consider here the robust stabilization problem of Schrödinger equation against stochastic disturbances. In this paper, we adopt model predictive control method in which control performance over a finite future is optimized with a performance index that has a moving initial and terminal time. The objective of this study is to derive the stability criterion for model predictive control of Schrödinger equation under stochastic disturbances. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Optimal%20control" title="Optimal control">Optimal control</a>, <a href="https://publications.waset.org/search?q=stochastic%20systems" title=" stochastic systems"> stochastic systems</a>, <a href="https://publications.waset.org/search?q=quantum%20systems" title=" quantum systems"> quantum systems</a>, <a href="https://publications.waset.org/search?q=stabilization." title=" stabilization."> stabilization.</a> </p> <a href="https://publications.waset.org/10006052/stability-of-stochastic-model-predictive-control-for-schrodinger-equation-with-finite-approximation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10006052/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a 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