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analytic method</title> <meta name="description" content="Search results for: matrix analytic method"> <meta name="keywords" content="matrix analytic method"> <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 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action="https://publications.waset.org/abstracts/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="matrix analytic method"> <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> 20709</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: matrix analytic method</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20709</span> Formation of the Investment Portfolio of Intangible Assets with a Wide Pairwise Comparison Matrix Application</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gulnara%20Galeeva">Gulnara Galeeva</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Analytic Hierarchy Process is widely used in the economic and financial studies, including the formation of investment portfolios. In this study, a generalized method of obtaining a vector of priorities for the case with separate pairwise comparisons of the expert opinion being presented as a set of several equal evaluations on a ratio scale is examined. The author claims that this method allows solving an important and up-to-date problem of excluding vagueness and ambiguity of the expert opinion in the decision making theory. The study describes the authentic wide pairwise comparison matrix. Its application in the formation of the efficient investment portfolio of intangible assets of a small business enterprise with limited funding is considered. The proposed method has been successfully approbated on the practical example of a functioning dental clinic. The result of the study confirms that the wide pairwise comparison matrix can be used as a simple and reliable method for forming the enterprise investment policy. Moreover, a comparison between the method based on the wide pairwise comparison matrix and the classical analytic hierarchy process was conducted. The results of the comparative analysis confirm the correctness of the method based on the wide matrix. The application of a wide pairwise comparison matrix also allows to widely use the statistical methods of experimental data processing for obtaining the vector of priorities. A new method is available for simple users. Its application gives about the same accuracy result as that of the classical hierarchy process. Financial directors of small and medium business enterprises get an opportunity to solve the problem of companies’ investments without resorting to services of analytical agencies specializing in such studies. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=analytic%20hierarchy%20process" title="analytic hierarchy process">analytic hierarchy process</a>, <a href="https://publications.waset.org/abstracts/search?q=decision%20processes" title=" decision processes"> decision processes</a>, <a href="https://publications.waset.org/abstracts/search?q=investment%20portfolio" title=" investment portfolio"> investment portfolio</a>, <a href="https://publications.waset.org/abstracts/search?q=intangible%20assets" title=" intangible assets"> intangible assets</a> </p> <a href="https://publications.waset.org/abstracts/53564/formation-of-the-investment-portfolio-of-intangible-assets-with-a-wide-pairwise-comparison-matrix-application" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/53564.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">266</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20708</span> The Application of the Analytic Basis Function Expansion Triangular-z Nodal Method for Neutron Diffusion Calculation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kunpeng%20Wang">Kunpeng Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Hongchun"> Hongchun</a>, <a href="https://publications.waset.org/abstracts/search?q=Wu"> Wu</a>, <a href="https://publications.waset.org/abstracts/search?q=Liangzhi%20Cao"> Liangzhi Cao</a>, <a href="https://publications.waset.org/abstracts/search?q=Chuanqi%20Zhao"> Chuanqi Zhao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The distributions of homogeneous neutron flux within a node were expanded into a set of analytic basis functions which satisfy the diffusion equation at any point in a triangular-z node for each energy group, and nodes were coupled with each other with both the zero- and first-order partial neutron current moments across all the interfaces of the triangular prism at the same time. Based this method, a code TABFEN has been developed and applied to solve the neutron diffusion equation in a complicated geometry. In addition, after a series of numerical derivation, one can get the neutron adjoint diffusion equations in matrix form which is the same with the neutron diffusion equation; therefore, it can be solved by TABFEN, and the low-high scan strategy is adopted to improve the efficiency. Four benchmark problems are tested by this method to verify its feasibility, the results show good agreement with the references which demonstrates the efficiency and feasibility of this method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=analytic%20basis%20function%20expansion%20method" title="analytic basis function expansion method">analytic basis function expansion method</a>, <a href="https://publications.waset.org/abstracts/search?q=arbitrary%20triangular-z%20node" title=" arbitrary triangular-z node"> arbitrary triangular-z node</a>, <a href="https://publications.waset.org/abstracts/search?q=adjoint%20neutron%20flux" title=" adjoint neutron flux"> adjoint neutron flux</a>, <a href="https://publications.waset.org/abstracts/search?q=complicated%20geometry" title=" complicated geometry"> complicated geometry</a> </p> <a href="https://publications.waset.org/abstracts/63283/the-application-of-the-analytic-basis-function-expansion-triangular-z-nodal-method-for-neutron-diffusion-calculation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/63283.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">445</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20707</span> Special Properties of the Zeros of the Analytic Representations of Finite Quantum Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muna%20Tabuni">Muna Tabuni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper contains an investigation on the special properties of the zeros of the analytic representations of finite quantum systems. These zeros and their paths completely define the finite quantum system. The present paper studies the construction of the analytic representation from its zeros. The analytic functions of finite quantum systems are introduced. The zeros of the analytic theta functions and their paths have been studied. The analytic function f(z) have exactly d zeros. The analytic function has been constructed from its zeros. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=construction" title="construction">construction</a>, <a href="https://publications.waset.org/abstracts/search?q=analytic" title=" analytic"> analytic</a>, <a href="https://publications.waset.org/abstracts/search?q=representation" title=" representation"> representation</a>, <a href="https://publications.waset.org/abstracts/search?q=zeros" title=" zeros"> zeros</a> </p> <a href="https://publications.waset.org/abstracts/138377/special-properties-of-the-zeros-of-the-analytic-representations-of-finite-quantum-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/138377.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">207</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20706</span> Approximation of Analytic Functions of Several Variables by Linear K-Positive Operators in the Closed Domain</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tulin%20Coskun">Tulin Coskun</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We investigate the approximation of analytic functions of several variables in polydisc by the sequences of linear k-positive operators in Gadjiev sence. The approximation of analytic functions of complex variable by linear k-positive operators was tackled, and k-positive operators and formulated theorems of Korovkin's type for these operators in the space of analytic functions on the unit disc were introduced in the past. Recently, very general results on convergence of the sequences of linear k-positive operators on a simply connected bounded domain within the space of analytic functions were proved. In this presentation, we extend some of these results to the approximation of analytic functions of several complex variables by sequences of linear k-positive operators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=analytic%20functions" title="analytic functions">analytic functions</a>, <a href="https://publications.waset.org/abstracts/search?q=approximation%20of%20analytic%20functions" title=" approximation of analytic functions"> approximation of analytic functions</a>, <a href="https://publications.waset.org/abstracts/search?q=Linear%20k-positive%20operators" title=" Linear k-positive operators"> Linear k-positive operators</a>, <a href="https://publications.waset.org/abstracts/search?q=Korovkin%20type%20theorems" title=" Korovkin type theorems"> Korovkin type theorems</a> </p> <a href="https://publications.waset.org/abstracts/53219/approximation-of-analytic-functions-of-several-variables-by-linear-k-positive-operators-in-the-closed-domain" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/53219.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">338</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20705</span> Matrix Method Posting</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Varong%20Pongsai">Varong Pongsai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective of this paper is introducing a new method of accounting posting which is called Matrix Method Posting. This method is based on the Matrix operation of pure Mathematics. Although, accounting field is classified as one of the social-science knowledge, many of accounting operations are placed by Mathematics sign and operation. Through the operation applying, it seems to be that the operations of Mathematics should be applied to accounting possibly. So, this paper tries to over-lap Mathematics logic to accounting logic smoothly. According to the context of discovery, deductive approach is employed to prove a simultaneously logical concept of both Mathematics and Accounting. The result proves that the Matrix can be placed to operate accounting perfectly, because Matrix and accounting logic also have a similarity concept which is balancing 2 sides during operations. Moreover, the Matrix posting also has a lot of benefit. It can help financial analyst calculating financial ratios comfortably. Furthermore, the matrix determinant which is a signature operation itself also helps auditors checking out the correction of clients’ recording. If the determinant is not equaled to 0, it will point out that the recording process of clients getting into the problem. Finally, the Matrix should be easily determining a concept of merger and consolidation far beyond the present day concept. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=matrix%20method%20posting" title="matrix method posting">matrix method posting</a>, <a href="https://publications.waset.org/abstracts/search?q=deductive%20approach" title=" deductive approach"> deductive approach</a>, <a href="https://publications.waset.org/abstracts/search?q=determinant" title=" determinant"> determinant</a>, <a href="https://publications.waset.org/abstracts/search?q=accounting%20application" title=" accounting application"> accounting application</a> </p> <a href="https://publications.waset.org/abstracts/31039/matrix-method-posting" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31039.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">367</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20704</span> On a Generalization of the Spectral Dichotomy Method of a Matrix With Respect to Parabolas</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mouhamadou%20Dosso">Mouhamadou Dosso</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents methods of spectral dichotomy of a matrix which compute spectral projectors on the subspace associated with the eigenvalues external to the parabolas described by a general equation. These methods are modifications of the one proposed in [A. N. Malyshev and M. Sadkane, SIAM J. MATRIX ANAL. APPL. 18 (2), 265-278, 1997] which uses the spectral dichotomy method of a matrix with respect to the imaginary axis. Theoretical and algorithmic aspects of the methods are developed. Numerical results obtained by applying methods presented on matrices are reported. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=spectral%20dichotomy%20method" title="spectral dichotomy method">spectral dichotomy method</a>, <a href="https://publications.waset.org/abstracts/search?q=spectral%20projector" title=" spectral projector"> spectral projector</a>, <a href="https://publications.waset.org/abstracts/search?q=eigensubspaces" title=" eigensubspaces"> eigensubspaces</a>, <a href="https://publications.waset.org/abstracts/search?q=eigenvalue" title=" eigenvalue"> eigenvalue</a> </p> <a href="https://publications.waset.org/abstracts/159807/on-a-generalization-of-the-spectral-dichotomy-method-of-a-matrix-with-respect-to-parabolas" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159807.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">94</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20703</span> On Direct Matrix Factored Inversion via Broyden's Updates</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Adel%20Mohsen">Adel Mohsen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A direct method based on the good Broyden's updates for evaluating the inverse of a nonsingular square matrix of full rank and solving related system of linear algebraic equations is studied. For a matrix A of order n whose LU-decomposition is A = LU, the multiplication count is O (n3). This includes the evaluation of the LU-decompositions of the inverse, the lower triangular decomposition of A as well as a “reduced matrix inverse”. If an explicit value of the inverse is not needed the order reduces to O (n3/2) to compute to compute inv(U) and the reduced inverse. For a symmetric matrix only O (n3/3) operations are required to compute inv(L) and the reduced inverse. An example is presented to demonstrate the capability of using the reduced matrix inverse in treating ill-conditioned systems. Besides the simplicity of Broyden's update, the method provides a mean to exploit the possible sparsity in the matrix and to derive a suitable preconditioner. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Broyden%27s%20updates" title="Broyden's updates">Broyden's updates</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20inverse" title=" matrix inverse"> matrix inverse</a>, <a href="https://publications.waset.org/abstracts/search?q=inverse%20factorization" title=" inverse factorization"> inverse factorization</a>, <a href="https://publications.waset.org/abstracts/search?q=solution%20of%20linear%20algebraic%20equations" title=" solution of linear algebraic equations"> solution of linear algebraic equations</a>, <a href="https://publications.waset.org/abstracts/search?q=ill-conditioned%20matrices" title=" ill-conditioned matrices"> ill-conditioned matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=preconditioning" title=" preconditioning"> preconditioning</a> </p> <a href="https://publications.waset.org/abstracts/22126/on-direct-matrix-factored-inversion-via-broydens-updates" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22126.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">479</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20702</span> A Mathematical Model for Reliability Redundancy Optimization Problem of K-Out-Of-N: G System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gak-Gyu%20Kim">Gak-Gyu Kim</a>, <a href="https://publications.waset.org/abstracts/search?q=Won%20Il%20Jung"> Won Il Jung</a> </p> <p class="card-text"><strong>Abstract:</strong></p> According to a remarkable development of science and technology, function and role of the system of engineering fields has recently been diversified. The system has become increasingly more complex and precise, and thus, system designers intended to maximize reliability concentrate more effort at the design stage. This study deals with the reliability redundancy optimization problem (RROP) for k-out-of-n: G system configuration with cold standby and warm standby components. This paper further intends to present the optimal mathematical model through which the following three elements of (i) multiple components choices, (ii) redundant components quantity and (iii) the choice of redundancy strategies may be combined in order to maximize the reliability of the system. Therefore, we focus on the following three issues. First, we consider RROP that there exists warm standby state as well as cold standby state of the component. Second, as eliminating an approximation approach of the previous RROP studies, we construct a precise model for system reliability. Third, given transition time when the state of components changes, we present not simply a workable solution but the advanced method. For the wide applicability of RROPs, moreover, we use absorbing continuous time Markov chain and matrix analytic methods in the suggested mathematical model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=RROP" title="RROP">RROP</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20analytic%20methods" title=" matrix analytic methods"> matrix analytic methods</a>, <a href="https://publications.waset.org/abstracts/search?q=k-out-of-n%3A%20G%20system" title=" k-out-of-n: G system"> k-out-of-n: G system</a>, <a href="https://publications.waset.org/abstracts/search?q=MTTF" title=" MTTF"> MTTF</a>, <a href="https://publications.waset.org/abstracts/search?q=absorbing%20continuous%20time%20Markov%20Chain" title=" absorbing continuous time Markov Chain"> absorbing continuous time Markov Chain</a> </p> <a href="https://publications.waset.org/abstracts/66196/a-mathematical-model-for-reliability-redundancy-optimization-problem-of-k-out-of-n-g-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66196.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">254</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20701</span> Selecting the Best Software Product Using Analytic Hierarchy Process and Fuzzy-Analytic Hierarchy Process Modules</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Anas%20Hourani">Anas Hourani</a>, <a href="https://publications.waset.org/abstracts/search?q=Batool%20Ahmad"> Batool Ahmad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Software applications play an important role inside any institute. They are employed to manage all processes and store entities-related data in the computer. Therefore, choosing the right software product that meets institute requirements is not an easy decision in view of considering multiple criteria, different points of views, and many standards. As a case study, Mutah University, located in Jordan, is in essential need of customized software, and several companies presented their software products which are very similar in quality. In this regard, an analytic hierarchy process (AHP) and a fuzzy analytic hierarchy process (Fuzzy-AHP) models are proposed in this research to identify the most suitable and best-fit software product that meets the institute requirements. The results indicate that both modules are able to help the decision-makers to make a decision, especially in complex decision problems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=analytic%20hierarchy%20process" title="analytic hierarchy process">analytic hierarchy process</a>, <a href="https://publications.waset.org/abstracts/search?q=decision%20modeling" title=" decision modeling"> decision modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20analytic%20hierarchy%20process" title=" fuzzy analytic hierarchy process"> fuzzy analytic hierarchy process</a>, <a href="https://publications.waset.org/abstracts/search?q=software%20product" title=" software product"> software product</a> </p> <a href="https://publications.waset.org/abstracts/137685/selecting-the-best-software-product-using-analytic-hierarchy-process-and-fuzzy-analytic-hierarchy-process-modules" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/137685.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">392</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20700</span> On the Application of Heuristics of the Traveling Salesman Problem for the Task of Restoring the DNA Matrix</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Boris%20Melnikov">Boris Melnikov</a>, <a href="https://publications.waset.org/abstracts/search?q=Dmitrii%20Chaikovskii"> Dmitrii Chaikovskii</a>, <a href="https://publications.waset.org/abstracts/search?q=Elena%20Melnikova"> Elena Melnikova</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The traveling salesman problem (TSP) is a well-known optimization problem that seeks to find the shortest possible route that visits a set of points and returns to the starting point. In this paper, we apply some heuristics of the TSP for the task of restoring the DNA matrix. This restoration problem is often considered in biocybernetics. For it, we must recover the matrix of distances between DNA sequences if not all the elements of the matrix under consideration are known at the input. We consider the possibility of using this method in the testing of distance calculation algorithms between a pair of DNAs to restore the partially filled matrix. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=optimization%20problems" title="optimization problems">optimization problems</a>, <a href="https://publications.waset.org/abstracts/search?q=DNA%20matrix" title=" DNA matrix"> DNA matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=partially%20filled%20matrix" title=" partially filled matrix"> partially filled matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=traveling%20salesman%20problem" title=" traveling salesman problem"> traveling salesman problem</a>, <a href="https://publications.waset.org/abstracts/search?q=heuristic%20algorithms" title=" heuristic algorithms"> heuristic algorithms</a> </p> <a href="https://publications.waset.org/abstracts/172868/on-the-application-of-heuristics-of-the-traveling-salesman-problem-for-the-task-of-restoring-the-dna-matrix" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/172868.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">150</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20699</span> The Second Smallest Eigenvalue of Complete Tripartite Hypergraph</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alfi%20Y.%20Zakiyyah">Alfi Y. Zakiyyah</a>, <a href="https://publications.waset.org/abstracts/search?q=Hanni%20Garminia"> Hanni Garminia</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Salman"> M. Salman</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20N.%20Irawati"> A. N. Irawati</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the terminology of the hypergraph, there is a relation with the terminology graph. In the theory of graph, the edges connected two vertices. In otherwise, in hypergraph, the edges can connect more than two vertices. There is representation matrix of a graph such as adjacency matrix, Laplacian matrix, and incidence matrix. The adjacency matrix is symmetry matrix so that all eigenvalues is real. This matrix is a nonnegative matrix. The all diagonal entry from adjacency matrix is zero so that the trace is zero. Another representation matrix of the graph is the Laplacian matrix. Laplacian matrix is symmetry matrix and semidefinite positive so that all eigenvalues are real and non-negative. According to the spectral study in the graph, some that result is generalized to hypergraph. A hypergraph can be represented by a matrix such as adjacency, incidence, and Laplacian matrix. Throughout for this term, we use Laplacian matrix to represent a complete tripartite hypergraph. The aim from this research is to determine second smallest eigenvalues from this matrix and find a relation this eigenvalue with the connectivity of that hypergraph. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=connectivity" title="connectivity">connectivity</a>, <a href="https://publications.waset.org/abstracts/search?q=graph" title=" graph"> graph</a>, <a href="https://publications.waset.org/abstracts/search?q=hypergraph" title=" hypergraph"> hypergraph</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplacian%20matrix" title=" Laplacian matrix"> Laplacian matrix</a> </p> <a href="https://publications.waset.org/abstracts/34000/the-second-smallest-eigenvalue-of-complete-tripartite-hypergraph" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34000.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">489</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20698</span> Competitor Integration with Voice of Customer Ratings in QFD Studies Using Geometric Mean Based on AHP</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zafar%20Iqbal">Zafar Iqbal</a>, <a href="https://publications.waset.org/abstracts/search?q=Nigel%20P.%20Grigg"> Nigel P. Grigg</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20Govindaraju"> K. Govindaraju</a>, <a href="https://publications.waset.org/abstracts/search?q=Nicola%20M.%20Campbell-Allen"> Nicola M. Campbell-Allen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Quality Function Deployment (QFD) is structured approach. It has been used to improve the quality of products and process in a wide range of fields. Using this systematic tool, practitioners normally rank Voice of Customer ratings (VoCs) in order to produce Improvement Ratios (IRs) which become the basis for prioritising process / product design or improvement activities. In one matrix of the House of Quality (HOQ) competitors are rated. The method of obtaining improvement ratios (IRs) does not always integrate the competitors’ rating in a systematic way that fully utilises competitor rating information. This can have the effect of diverting QFD practitioners’ attention from a potentially important VOC to less important VOC. In order to enhance QFD analysis, we present a more systematic method for integrating competitor ratings, utilising the geometric mean of the customer rating matrix. In this paper we develop a new approach, based on the Analytic Hierarchy Process (AHP), in which we generating a matrix of multiple comparisons of all competitors, and derive a geometric mean for each competitor. For each VOC an improved IR is derived which-we argue herein - enhances the initial VOC importance ratings by integrating more information about competitor performance. In this way, our method can help overcome one of the possible shortcomings of QFD. We then use a published QFD example from literature as a case study to demonstrate the use of the new AHP-based IRs, and show how these can be used to re-rank existing VOCs to -arguably- better achieve the goal of customer satisfaction in relation VOC ratings and competitors’ rankings. We demonstrate how two dimensional AHP-based geometric mean derived from the multiple competitor comparisons matrix can be useful for analysing competitors’ rankings. Our method utilises an established methodology (AHP) applied within an established application (QFD), but in an original way (through the competitor analysis matrix), to achieve a novel improvement. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quality%20function%20deployment" title="quality function deployment">quality function deployment</a>, <a href="https://publications.waset.org/abstracts/search?q=geometric%20mean" title=" geometric mean"> geometric mean</a>, <a href="https://publications.waset.org/abstracts/search?q=improvement%20ratio" title=" improvement ratio"> improvement ratio</a>, <a href="https://publications.waset.org/abstracts/search?q=AHP" title=" AHP"> AHP</a>, <a href="https://publications.waset.org/abstracts/search?q=competitors%20ratings" title=" competitors ratings"> competitors ratings</a> </p> <a href="https://publications.waset.org/abstracts/40657/competitor-integration-with-voice-of-customer-ratings-in-qfd-studies-using-geometric-mean-based-on-ahp" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/40657.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">369</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20697</span> Computer Simulations of Stress Corrosion Studies of Quartz Particulate Reinforced ZA-27 Metal Matrix Composites</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=K.%20Vinutha">K. Vinutha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The stress corrosion resistance of ZA-27 / TiO2 metal matrix composites (MMC’s) in high temperature acidic media has been evaluated using an autoclave. The liquid melt metallurgy technique using vortex method was used to fabricate MMC’s. TiO2 particulates of 50-80 µm in size are added to the matrix. ZA-27 containing 2,4,6 weight percentage of TiO2 are prepared. Stress corrosion tests were conducted by weight loss method for different exposure time, normality and temperature of the acidic medium. The corrosion rates of composites were lower to that of matrix ZA-27 alloy under all conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=autoclave" title="autoclave">autoclave</a>, <a href="https://publications.waset.org/abstracts/search?q=MMC%E2%80%99s" title=" MMC’s"> MMC’s</a>, <a href="https://publications.waset.org/abstracts/search?q=stress%20corrosion" title=" stress corrosion"> stress corrosion</a>, <a href="https://publications.waset.org/abstracts/search?q=vortex%20method" title=" vortex method"> vortex method</a> </p> <a href="https://publications.waset.org/abstracts/28848/computer-simulations-of-stress-corrosion-studies-of-quartz-particulate-reinforced-za-27-metal-matrix-composites" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/28848.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">477</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20696</span> Multiple Images Stitching Based on Gradually Changing Matrix</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shangdong%20Zhu">Shangdong Zhu</a>, <a href="https://publications.waset.org/abstracts/search?q=Yunzhou%20Zhang"> Yunzhou Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Jie%20Zhang"> Jie Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Hang%20Hu"> Hang Hu</a>, <a href="https://publications.waset.org/abstracts/search?q=Yazhou%20Zhang"> Yazhou Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Image stitching is a very important branch in the field of computer vision, especially for panoramic map. In order to eliminate shape distortion, a novel stitching method is proposed based on gradually changing matrix when images are horizontal. For images captured horizontally, this paper assumes that there is only translational operation in image stitching. By analyzing each parameter of the homography matrix, the global homography matrix is gradually transferred to translation matrix so as to eliminate the effects of scaling, rotation, etc. in the image transformation. This paper adopts matrix approximation to get the minimum value of the energy function so that the shape distortion at those regions corresponding to the homography can be minimized. The proposed method can avoid multiple horizontal images stitching failure caused by accumulated shape distortion. At the same time, it can be combined with As-Projective-As-Possible algorithm to ensure precise alignment of overlapping area. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=image%20stitching" title="image stitching">image stitching</a>, <a href="https://publications.waset.org/abstracts/search?q=gradually%20changing%20matrix" title=" gradually changing matrix"> gradually changing matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=horizontal%20direction" title=" horizontal direction"> horizontal direction</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20approximation" title=" matrix approximation"> matrix approximation</a>, <a href="https://publications.waset.org/abstracts/search?q=homography%20matrix" title=" homography matrix"> homography matrix</a> </p> <a href="https://publications.waset.org/abstracts/85912/multiple-images-stitching-based-on-gradually-changing-matrix" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/85912.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">319</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20695</span> On Block Vandermonde Matrix Constructed from Matrix Polynomial Solvents</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Malika%20Yaici">Malika Yaici</a>, <a href="https://publications.waset.org/abstracts/search?q=Kamel%20Hariche"> Kamel Hariche</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In control engineering, systems described by matrix fractions are studied through properties of block roots, also called solvents. These solvents are usually dealt with in a block Vandermonde matrix form. Inverses and determinants of Vandermonde matrices and block Vandermonde matrices are used in solving problems of numerical analysis in many domains but require costly computations. Even though Vandermonde matrices are well known and method to compute inverse and determinants are many and, generally, based on interpolation techniques, methods to compute the inverse and determinant of a block Vandermonde matrix have not been well studied. In this paper, some properties of these matrices and iterative algorithms to compute the determinant and the inverse of a block Vandermonde matrix are given. These methods are deducted from the partitioned matrix inversion and determinant computing methods. Due to their great size, parallelization may be a solution to reduce the computations cost, so a parallelization of these algorithms is proposed and validated by a comparison using algorithmic complexity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=block%20vandermonde%20matrix" title="block vandermonde matrix">block vandermonde matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=solvents" title=" solvents"> solvents</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20polynomial" title=" matrix polynomial"> matrix polynomial</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20inverse" title=" matrix inverse"> matrix inverse</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20determinant" title=" matrix determinant"> matrix determinant</a>, <a href="https://publications.waset.org/abstracts/search?q=parallelization" title=" parallelization"> parallelization</a> </p> <a href="https://publications.waset.org/abstracts/89115/on-block-vandermonde-matrix-constructed-from-matrix-polynomial-solvents" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/89115.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">240</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20694</span> Developing a Model – an Application of Fuzzy Analytic Network Process Techniques for Hostels</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Pin-Ju%20Juan">Pin-Ju Juan</a>, <a href="https://publications.waset.org/abstracts/search?q=Peng-Yu%20Juan"> Peng-Yu Juan</a>, <a href="https://publications.waset.org/abstracts/search?q=Yi-Shan%20Chen"> Yi-Shan Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The main purpose of this paper is to present a fuzzy Analytic Network Process (ANP) model for the hostel organizational performance selection. In this article, we created 39 criteria for selecting hostel organizational performance acquired from literature's review and experts method practical investigations, and the methods of fuzzy analytic network process are used to consolidate decision-makers’ assessments about criteria weightings. Finally, we selected organizational performance of a hostel in Taiwan to determine the effectiveness of the proposed evaluation model in this paper. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fuzzy%20ANP" title="Fuzzy ANP">Fuzzy ANP</a>, <a href="https://publications.waset.org/abstracts/search?q=hostel" title=" hostel"> hostel</a>, <a href="https://publications.waset.org/abstracts/search?q=organizational%20performance" title=" organizational performance"> organizational performance</a>, <a href="https://publications.waset.org/abstracts/search?q=strategy%20management" title=" strategy management"> strategy management</a> </p> <a href="https://publications.waset.org/abstracts/123585/developing-a-model-an-application-of-fuzzy-analytic-network-process-techniques-for-hostels" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/123585.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">200</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20693</span> Analysis of a Discrete-time Geo/G/1 Queue Integrated with (s, Q) Inventory Policy at a Service Facility</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Akash%20Verma">Akash Verma</a>, <a href="https://publications.waset.org/abstracts/search?q=Sujit%20Kumar%20Samanta"> Sujit Kumar Samanta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study examines a discrete-time Geo/G/1 queueing-inventory system attached with (s, Q) inventory policy. Assume that the customers follow the Bernoulli process on arrival. Each customer demands a single item with arbitrarily distributed service time. The inventory is replenished by an outside supplier, and the lead time for the replenishment is determined by a geometric distribution. There is a single server and infinite waiting space in this facility. Demands must wait in the specified waiting area during a stock-out period. The customers are served on a first-come-first-served basis. With the help of the embedded Markov chain technique, we determine the joint probability distributions of the number of customers in the system and the number of items in stock at the post-departure epoch using the Matrix Analytic approach. We relate the system length distribution at post-departure and outside observer's epochs to determine the joint probability distribution at the outside observer's epoch. We use probability distributions at random epochs to determine the waiting time distribution. We obtain the performance measures to construct the cost function. The optimum values of the order quantity and reordering point are found numerically for the variety of model parameters. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=discrete-time%20queueing%20inventory%20model" title="discrete-time queueing inventory model">discrete-time queueing inventory model</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20analytic%20method" title=" matrix analytic method"> matrix analytic method</a>, <a href="https://publications.waset.org/abstracts/search?q=waiting-time%20analysis" title=" waiting-time analysis"> waiting-time analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=cost%20optimization" title=" cost optimization"> cost optimization</a> </p> <a href="https://publications.waset.org/abstracts/186892/analysis-of-a-discrete-time-geog1-queue-integrated-with-s-q-inventory-policy-at-a-service-facility" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/186892.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">45</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20692</span> A Comprehensive Method of Fault Detection and Isolation based on Testability Modeling Data</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Junyou%20Shi">Junyou Shi</a>, <a href="https://publications.waset.org/abstracts/search?q=Weiwei%20Cui"> Weiwei Cui</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Testability modeling is a commonly used method in testability design and analysis of system. A dependency matrix will be obtained from testability modeling, and we will give a quantitative evaluation about fault detection and isolation. Based on the dependency matrix, we can obtain the diagnosis tree. The tree provides the procedures of the fault detection and isolation. But the dependency matrix usually includes built-in test (BIT) and manual test in fact. BIT runs the test automatically and is not limited by the procedures. The method above cannot give a more efficient diagnosis and use the advantages of the BIT. A Comprehensive method of fault detection and isolation is proposed. This method combines the advantages of the BIT and Manual test by splitting the matrix. The result of the case study shows that the method is effective. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fault%20detection" title="fault detection">fault detection</a>, <a href="https://publications.waset.org/abstracts/search?q=fault%20isolation" title=" fault isolation"> fault isolation</a>, <a href="https://publications.waset.org/abstracts/search?q=testability%20modeling" title=" testability modeling"> testability modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=BIT" title=" BIT"> BIT</a> </p> <a href="https://publications.waset.org/abstracts/27181/a-comprehensive-method-of-fault-detection-and-isolation-based-on-testability-modeling-data" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/27181.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">335</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20691</span> Conditions on Expressing a Matrix as a Sum of α-Involutions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ric%20Joseph%20R.%20Murillo">Ric Joseph R. Murillo</a>, <a href="https://publications.waset.org/abstracts/search?q=Edna%20N.%20Gueco"> Edna N. Gueco</a>, <a href="https://publications.waset.org/abstracts/search?q=Dennis%20I.%20Merino"> Dennis I. Merino</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let F be C or R, where C and R are the set of complex numbers and real numbers, respectively, and n be a natural number. An n-by-n matrix A over the field F is called an α-involutory matrix or an α-involution if there exists an α in the field such that the square of the matrix is equal to αI, where I is the n-by-n identity matrix. If α is a complex number or a nonnegative real number, then an n-by-n matrix A over the field F can be written as a sum of n-by-n α-involutory matrices over the field F if and only if the trace of that matrix is an integral multiple of the square root of α. Meanwhile, if α is a negative real number, then a 2n-by-2n matrix A over R can be written as a sum of 2n-by-2n α-involutory matrices over R if and only the trace of the matrix is zero. Some other properties of α-involutory matrices are also determined <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=%CE%B1-involutory%20Matrices" title="α-involutory Matrices">α-involutory Matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=sum%20of%20%CE%B1-involutory%20Matrices" title=" sum of α-involutory Matrices"> sum of α-involutory Matrices</a>, <a href="https://publications.waset.org/abstracts/search?q=Trace" title=" Trace"> Trace</a>, <a href="https://publications.waset.org/abstracts/search?q=Matrix%20Theory" title=" Matrix Theory"> Matrix Theory</a> </p> <a href="https://publications.waset.org/abstracts/95131/conditions-on-expressing-a-matrix-as-a-sum-of-a-involutions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/95131.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">198</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20690</span> A New Analytic Solution for the Heat Conduction with Time-Dependent Heat Transfer Coefficient</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Te%20Wen%20Tu">Te Wen Tu</a>, <a href="https://publications.waset.org/abstracts/search?q=Sen%20Yung%20Lee"> Sen Yung Lee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An alternative approach is proposed to develop the analytic solution for one dimensional heat conduction with one mixed type boundary condition and general time-dependent heat transfer coefficient. In this study, the physic meaning of the solution procedure is revealed. It is shown that the shifting function takes the physic meaning of the reciprocal of Biot function in the initial time. Numerical results show the accuracy of this study. Comparing with those given in the existing literature, the difference is less than 0.3%. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=analytic%20solution" title="analytic solution">analytic solution</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer%20coefficient" title=" heat transfer coefficient"> heat transfer coefficient</a>, <a href="https://publications.waset.org/abstracts/search?q=shifting%20function%20method" title=" shifting function method"> shifting function method</a>, <a href="https://publications.waset.org/abstracts/search?q=time-dependent%20boundary%20condition" title=" time-dependent boundary condition"> time-dependent boundary condition</a> </p> <a href="https://publications.waset.org/abstracts/7436/a-new-analytic-solution-for-the-heat-conduction-with-time-dependent-heat-transfer-coefficient" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/7436.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">431</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20689</span> Subclasses of Bi-Univalent Functions Associated with Hohlov Operator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rashidah%20Omar">Rashidah Omar</a>, <a href="https://publications.waset.org/abstracts/search?q=Suzeini%20Abdul%20Halim"> Suzeini Abdul Halim</a>, <a href="https://publications.waset.org/abstracts/search?q=Aini%20Janteng"> Aini Janteng</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The coefficients estimate problem for Taylor-Maclaurin series is still an open problem especially for a function in the subclass of bi-univalent functions. A function <em>f </em>ϵ<em> A </em>is said to be bi-univalent in the open unit disk <em>D</em> if both <em>f </em>and <em>f<sup>-1</sup></em> are univalent in <em>D</em>. The symbol <em>A</em> denotes the class of all analytic functions <em>f</em> in <em>D</em> and it is normalized by the conditions <em>f</em>(0) = <em>f’</em>(0) – 1=0. The class of bi-univalent is denoted by  The subordination concept is used in determining second and third Taylor-Maclaurin coefficients. The upper bound for second and third coefficients is estimated for functions in the subclasses of bi-univalent functions which are subordinated to the function φ. An analytic function <em>f</em> is subordinate to an analytic function <em>g</em> if there is an analytic function <em>w</em> defined on <em>D</em> with <em>w</em>(0) = 0 and |<em>w</em>(z)| < 1 satisfying <em>f</em>(<em>z</em>) = <em>g</em>[<em>w</em>(<em>z</em>)]. In this paper, two subclasses of bi-univalent functions associated with Hohlov operator are introduced. The bound for second and third coefficients of functions in these subclasses is determined using subordination. The findings would generalize the previous related works of several earlier authors. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=analytic%20functions" title="analytic functions">analytic functions</a>, <a href="https://publications.waset.org/abstracts/search?q=bi-univalent%20functions" title=" bi-univalent functions"> bi-univalent functions</a>, <a href="https://publications.waset.org/abstracts/search?q=Hohlov%20operator" title=" Hohlov operator"> Hohlov operator</a>, <a href="https://publications.waset.org/abstracts/search?q=subordination" title=" subordination"> subordination</a> </p> <a href="https://publications.waset.org/abstracts/72671/subclasses-of-bi-univalent-functions-associated-with-hohlov-operator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/72671.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">293</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20688</span> High Accuracy Analytic Approximations for Modified Bessel Functions I₀(x)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Pablo%20Martin">Pablo Martin</a>, <a href="https://publications.waset.org/abstracts/search?q=Jorge%20Olivares"> Jorge Olivares</a>, <a href="https://publications.waset.org/abstracts/search?q=Fernando%20Maass"> Fernando Maass</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A method to obtain analytic approximations for special function of interest in engineering and physics is described here. Each approximate function will be valid for every positive value of the variable and accuracy will be high and increasing with the number of parameters to determine. The general technique will be shown through an application to the modified Bessel function of order zero, I₀(x). The form and the calculation of the parameters are performed with the simultaneous use of the power series and asymptotic expansion. As in Padé method rational functions are used, but now they are combined with other elementary functions as; fractional powers, hyperbolic, trigonometric and exponential functions, and others. The elementary function is determined, considering that the approximate function should be a bridge between the power series and the asymptotic expansion. In the case of the I₀(x) function two analytic approximations have been already determined. The simplest one is (1+x²/4)⁻¹/⁴(1+0.24273x²) cosh(x)/(1+0.43023x²). The parameters of I₀(x) were determined using the leading term of the asymptotic expansion and two coefficients of the power series, and the maximum relative error is 0.05. In a second case, two terms of the asymptotic expansion were used and 4 of the power series and the maximum relative error is 0.001 at x≈9.5. Approximations with much higher accuracy will be also shown. In conclusion a new technique is described to obtain analytic approximations to some functions of interest in sciences, such that they have a high accuracy, they are valid for every positive value of the variable, they can be integrated and differentiated as the usual, functions, and furthermore they can be calculated easily even with a regular pocket calculator. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=analytic%20approximations" title="analytic approximations">analytic approximations</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical-physics%20applications" title=" mathematical-physics applications"> mathematical-physics applications</a>, <a href="https://publications.waset.org/abstracts/search?q=quasi-rational%20functions" title=" quasi-rational functions"> quasi-rational functions</a>, <a href="https://publications.waset.org/abstracts/search?q=special%20functions" title=" special functions"> special functions</a> </p> <a href="https://publications.waset.org/abstracts/77484/high-accuracy-analytic-approximations-for-modified-bessel-functions-i0x" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/77484.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">251</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20687</span> Corrosion Characterization of Al6061 Hybrid Metal Matrix Composites in Acid Medium</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=P.%20V.%20Krupakara">P. V. Krupakara</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper deals with the high corrosion resistance developed by the hybrid metal matrix composites when compared with that of matrix alloy. Matrix selected is Al6061. Reinforcements selected are graphite and red mud particulates. The composites are prepared using liquid melt metallurgy technique using vortex method. Metal matrix composites containing 2 percent graphite and 2 percent red mud, 2 percent graphite and 4 percent red mud, 2 percent graphite and 6 percent of red mud are prepared. Bar castings are cut into cylindrical discs of 20mm diameter and 20mm thickness. Corrosion tests were conducted at room temperature (230 °C) using conventional weight loss method according to ASTM G69-80. The corrodents used for the test were hydrochloric acid solution of different concentrations. Specimens were tested for every 24 hours interval up to 96 hours. Four specimens for each condition and time were immersed in corrodent. In each case the corrosion rate decreases with increase in exposure time for matrix and metal matrix composites whatever may be the concentration of hydrochloric acid. This may be due to aluminium, which may induce passivation due to development of non-porous layer. As red mud content increases the composites become corrosion resistant due to insulating nature of ceramic material red mud and less exposure of matrix alloy in those metal matrix composites. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Al6061" title="Al6061">Al6061</a>, <a href="https://publications.waset.org/abstracts/search?q=graphite" title=" graphite"> graphite</a>, <a href="https://publications.waset.org/abstracts/search?q=passivation" title=" passivation"> passivation</a>, <a href="https://publications.waset.org/abstracts/search?q=red%20mud" title=" red mud"> red mud</a>, <a href="https://publications.waset.org/abstracts/search?q=vortex" title=" vortex"> vortex</a> </p> <a href="https://publications.waset.org/abstracts/24636/corrosion-characterization-of-al6061-hybrid-metal-matrix-composites-in-acid-medium" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24636.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">542</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20686</span> The Behavior of The Zeros of Bargmann Analytic Functions for Multiple-Mode Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muna%20Tabuni">Muna Tabuni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper contains an investigation of the behavior of the Zeros of Bargmann functions for one and two-mode systems. A brief introduction to Harmonic oscillator formalism for one and two-mode is given. The Bargmann analytic representation for one and two-mode has been studied. The zeros of Bargmann analytic function for one-mode are considered. The Q Husimi functions are introduced. The Bargmann functions and the Husimi functions have the same zeros. The Bargmann functions f(z) have exactly q zeros. The evolution time of the zeros are discussed. The zeros of Bargmann analytic functions for two-mode are introduced. Various examples have been given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bargmann%20functions" title="Bargmann functions">Bargmann functions</a>, <a href="https://publications.waset.org/abstracts/search?q=two-mode" title=" two-mode"> two-mode</a>, <a href="https://publications.waset.org/abstracts/search?q=zeros" title=" zeros"> zeros</a>, <a href="https://publications.waset.org/abstracts/search?q=harmonic%20oscillator" title=" harmonic oscillator"> harmonic oscillator</a> </p> <a href="https://publications.waset.org/abstracts/20682/the-behavior-of-the-zeros-of-bargmann-analytic-functions-for-multiple-mode-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20682.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">570</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20685</span> A Method for Modeling Flexible Manipulators: Transfer Matrix Method with Finite Segments</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Haijie%20Li">Haijie Li</a>, <a href="https://publications.waset.org/abstracts/search?q=Xuping%20Zhang"> Xuping Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a computationally efficient method for the modeling of robot manipulators with flexible links and joints. This approach combines the Discrete Time Transfer Matrix Method with the Finite Segment Method, in which the flexible links are discretized by a number of rigid segments connected by torsion springs; and the flexibility of joints are modeled by torsion springs. The proposed method avoids the global dynamics and has the advantage of modeling non-uniform manipulators. Experiments and simulations of a single-link flexible manipulator are conducted for verifying the proposed methodologies. The simulations of a three-link robot arm with links and joints flexibility are also performed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=flexible%20manipulator" title="flexible manipulator">flexible manipulator</a>, <a href="https://publications.waset.org/abstracts/search?q=transfer%20matrix%20method" title=" transfer matrix method"> transfer matrix method</a>, <a href="https://publications.waset.org/abstracts/search?q=linearization" title=" linearization"> linearization</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20segment%20method" title=" finite segment method"> finite segment method</a> </p> <a href="https://publications.waset.org/abstracts/51465/a-method-for-modeling-flexible-manipulators-transfer-matrix-method-with-finite-segments" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51465.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">430</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20684</span> Plasticity in Matrix Dominated Metal-Matrix Composite with One Active Slip Based Dislocation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Temesgen%20Takele%20Kasa">Temesgen Takele Kasa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The main aim of this paper is to suggest one active slip based continuum dislocation approach to matrix dominated MMC plasticity analysis. The approach centered the free energy principles through the continuum behavior of dislocations combined with small strain continuum kinematics. The analytical derivation of this method includes the formulation of one active slip system, the thermodynamic approach of dislocations, determination of free energy, and evolution of dislocations. In addition zero and non-zero energy dissipation analysis of dislocation evolution is also formulated by using varational energy minimization method. In general, this work shows its capability to analyze the plasticity of matrix dominated MMC with inclusions. The proposed method is also found to be capable of handling plasticity of MMC. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=active%20slip" title="active slip">active slip</a>, <a href="https://publications.waset.org/abstracts/search?q=continuum%20dislocation" title=" continuum dislocation"> continuum dislocation</a>, <a href="https://publications.waset.org/abstracts/search?q=distortion" title=" distortion"> distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=dominated" title=" dominated"> dominated</a>, <a href="https://publications.waset.org/abstracts/search?q=energy%20dissipation" title=" energy dissipation"> energy dissipation</a>, <a href="https://publications.waset.org/abstracts/search?q=matrix%20dominated" title=" matrix dominated"> matrix dominated</a>, <a href="https://publications.waset.org/abstracts/search?q=plasticity" title=" plasticity"> plasticity</a> </p> <a href="https://publications.waset.org/abstracts/66664/plasticity-in-matrix-dominated-metal-matrix-composite-with-one-active-slip-based-dislocation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66664.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">389</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20683</span> Investigation on the Properties of Particulate Reinforced AA2014 Metal Matrix Composite Materials Produced by Vacuum Infiltration Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Isil%20Kerti">Isil Kerti</a>, <a href="https://publications.waset.org/abstracts/search?q=Onur%20Okur"> Onur Okur</a>, <a href="https://publications.waset.org/abstracts/search?q=Sibel%20Daglilar"> Sibel Daglilar</a>, <a href="https://publications.waset.org/abstracts/search?q=Recep%20Calin"> Recep Calin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Particulate reinforced aluminium matrix composites have gained more importance in automotive, aeronautical and defense industries due to their specific properties like as low density, high strength and stiffness, good fatigue strength, dimensional stability at high temperature and acceptable tribological properties. In this study, 2014 Aluminium alloy used as a matrix material and B₄C and SiC were selected as reinforcements components. For production of composites materials, vacuum infiltration method was used. In the experimental studies, the reinforcement volume ratios were defined by mixing as totally 10% B₄C and SiC. Aging treatment (T6) was applied to the specimens. The effect of T6 treatment on hardness was determined by using Brinell hardness test method. The effects of the aging treatment on microstructure and chemical structure were analysed by making XRD, SEM and EDS analysis on the specimens. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=metal%20matrix%20composite" title="metal matrix composite">metal matrix composite</a>, <a href="https://publications.waset.org/abstracts/search?q=vacumm%20infiltration%20method" title=" vacumm infiltration method"> vacumm infiltration method</a>, <a href="https://publications.waset.org/abstracts/search?q=aluminum%20metal%20matrix" title=" aluminum metal matrix"> aluminum metal matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=mechanical%20feature" title=" mechanical feature"> mechanical feature</a> </p> <a href="https://publications.waset.org/abstracts/81221/investigation-on-the-properties-of-particulate-reinforced-aa2014-metal-matrix-composite-materials-produced-by-vacuum-infiltration-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/81221.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">316</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20682</span> Heroin and Opiates Metabolites Tracing by Gas-Chromatography Isotope Ratio Mass Spectrometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yao-Te%20Yen">Yao-Te Yen</a>, <a href="https://publications.waset.org/abstracts/search?q=Chao-Hsin%20Cheng"> Chao-Hsin Cheng</a>, <a href="https://publications.waset.org/abstracts/search?q=Meng-Shun%20Huang"> Meng-Shun Huang</a>, <a href="https://publications.waset.org/abstracts/search?q=Shan-Zong%20Cyue"> Shan-Zong Cyue</a> </p> <p class="card-text"><strong>Abstract:</strong></p> 'Poppy-seed defense' has been a serious problem all over the world, that is because the opiates metabolites in urine are difficult to distinguish where they come from precisely. In this research, a powerful analytic method has been developed to trace the opiates metabolites in urine by Gas-Chromatography Isotope Ratio Mass Spectrometry (GC-IRMS). In order to eliminate the interference of synthesis to heroin or metabolism through human body, opiates metabolites in urine and sized heroin were hydrolyzed to morphine. Morphine is the key compound for tracing between opiates metabolites and seized heroin in this research. By matching δ13C and δ15N values through morphine, it is successful to distinguish the opiates metabolites coming from heroin or medicine. We tested seven heroin abuser’s metabolites and seized heroin in crime sites, the result showed that opiates metabolites coming from seized heroin, the variation of δ13C and δ15N for morphine are within 0.2 and 2.5‰, respectively. The variation of δ13C and δ15N for morphine are reasonable with the result of matrix match experiments. Above all, the uncertainty of 'Poppy-seed defense' can be solved easily by this analytic method, it provides the direct evidence for judge to make accurate conviction without hesitation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=poppy-seed%20defense" title="poppy-seed defense">poppy-seed defense</a>, <a href="https://publications.waset.org/abstracts/search?q=heroin" title=" heroin"> heroin</a>, <a href="https://publications.waset.org/abstracts/search?q=opiates%20metabolites" title=" opiates metabolites"> opiates metabolites</a>, <a href="https://publications.waset.org/abstracts/search?q=isotope%20ratio%20mass%20spectrometry" title=" isotope ratio mass spectrometry"> isotope ratio mass spectrometry</a> </p> <a href="https://publications.waset.org/abstracts/74236/heroin-and-opiates-metabolites-tracing-by-gas-chromatography-isotope-ratio-mass-spectrometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/74236.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">240</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20681</span> Selecting a Foreign Country to Build a Naval Base Using a Fuzzy Hybrid Decision Support System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Latif%20Yanar">Latif Yanar</a>, <a href="https://publications.waset.org/abstracts/search?q=Muammer%20Ka%C3%A7an"> Muammer Kaçan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Decision support systems are getting more important in many fields of science and technology and used effectively especially when the problems to be solved are complicated with many criteria. In this kind of problems one of the main challenges for the decision makers are that sometimes they cannot produce a countable data for evaluating the criteria but the knowledge and sense of experts. In recent years, fuzzy set theory and fuzzy logic based decision models gaining more place in literature. In this study, a decision support model to determine a country to build naval base is proposed and the application of the model is performed, considering Turkish Navy by the evaluations of Turkish Navy officers and academicians of international relations departments of various Universities located in Istanbul. The results achieved from the evaluations made by the experts in our model are calculated by a decision support tool named DESTEC 1.0, which is developed by the authors using C Sharp programming language. The tool gives advices to the decision maker using Analytic Hierarchy Process, Analytic Network Process, Fuzzy Analytic Hierarchy Process and Fuzzy Analytic Network Process all at once. The calculated results for five foreign countries are shown in the conclusion. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=decision%20support%20system" title="decision support system">decision support system</a>, <a href="https://publications.waset.org/abstracts/search?q=analytic%20hierarchy%20process" title=" analytic hierarchy process"> analytic hierarchy process</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20analytic%20hierarchy%20process" title=" fuzzy analytic hierarchy process"> fuzzy analytic hierarchy process</a>, <a href="https://publications.waset.org/abstracts/search?q=analytic%20network%20process" title=" analytic network process"> analytic network process</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20analytic%20network%20process" title=" fuzzy analytic network process"> fuzzy analytic network process</a>, <a href="https://publications.waset.org/abstracts/search?q=naval%20base" title=" naval base"> naval base</a>, <a href="https://publications.waset.org/abstracts/search?q=country%20selection" title=" country selection"> country selection</a>, <a href="https://publications.waset.org/abstracts/search?q=international%20relations" title=" international relations "> international relations </a> </p> <a href="https://publications.waset.org/abstracts/17037/selecting-a-foreign-country-to-build-a-naval-base-using-a-fuzzy-hybrid-decision-support-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17037.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">592</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">20680</span> Redundancy Component Matrix and Structural Robustness</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Xinjian%20Kou">Xinjian Kou</a>, <a href="https://publications.waset.org/abstracts/search?q=Linlin%20Li"> Linlin Li</a>, <a href="https://publications.waset.org/abstracts/search?q=Yongju%20Zhou"> Yongju Zhou</a>, <a href="https://publications.waset.org/abstracts/search?q=Jimian%20Song"> Jimian Song</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We introduce the redundancy matrix that expresses clearly the geometrical/topological configuration of the structure. With the matrix, the redundancy of the structure is resolved into redundant components and assigned to each member or rigid joint. The values of the diagonal elements in the matrix indicates the importance of the corresponding members or rigid joints, and the geometrically correlations can be shown with the non-diagonal elements. If a member or rigid joint failures, reassignment of the redundant components can be calculated with the recursive method given in the paper. By combining the indexes of reliability and redundancy components, we define an index concerning the structural robustness. To further explain the properties of the redundancy matrix, we cited several examples of statically indeterminate structures, including two trusses and a rigid frame. With the examples, some simple results and the properties of the matrix are discussed. The examples also illustrate that the redundancy matrix and the relevant concepts are valuable in structural safety analysis. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Structural%20Robustness" title="Structural Robustness">Structural Robustness</a>, <a href="https://publications.waset.org/abstracts/search?q=Structural%20Reliability" title=" Structural Reliability"> Structural Reliability</a>, <a href="https://publications.waset.org/abstracts/search?q=Redundancy%20Component" title=" Redundancy Component"> Redundancy Component</a>, <a href="https://publications.waset.org/abstracts/search?q=Redundancy%20Matrix" title=" Redundancy Matrix"> Redundancy Matrix</a> </p> <a href="https://publications.waset.org/abstracts/66420/redundancy-component-matrix-and-structural-robustness" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66420.pdf" target="_blank" class="btn btn-primary 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