A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty

<!DOCTYPE html>    <html>  <head> <meta charset="utf-8" /> <title>A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty</title>  <link rel="shortcut icon" type="image/ico" href="./data/ijsom/coversheet/favicon.ico" />  <meta name="viewport" content="width=device-width, maximum-scale=1, initial-scale=1, user-scalable=0" />   <meta name="keywords" content="Relief logistics,Location-routing problem,Cumulative vehicle routing,Multi-objective optimization,Uncertainty" /> <meta name="description" content="Natural disasters, accidents, and crises, that cause widespread destruction and inflict heavy casualties, accentuate the importance of a careful planning to deal with the aftermath and mitigate their impacts responsively. Thus, the logistics of disaster relief is one of the main activities in disaster management. In this paper, the response phase of the disaster management cycle is considered and a multi-objective model for location and routing of vehicles is presented. Uncertainties in transfer time, demands of regional warehouses in the damaged areas and inventories at supply centers in different periods are taken into account. Three objectives are considered in this model. Two objectives consist of minimizing total time required to reach the damaged areas and maximizing satisfaction of the damaged areas. The third objective, which is of secondary importance, attempts to minimize total costs, including startup costs, transfer costs, and shortage costs. In order to convert the proposed multi-objective formulation to a single objective one, Global Criterion approach is applied. Afterwards, the obtained single objective model is solved using an efficient genetic algorithm and simulated annealing. Finally, a case study in Southern Khorasan is conducted and the applicability of the proposed model is examined." /> <meta name="title" content="A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty" /> <meta name="googlebot" content="NOODP" /> <meta name="citation_title" content="A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty" /> <meta name="citation_author" content="Saffarian, Mohsen" /> <meta name="citation_author_institution" content="Faculty of Industrial Engineering, Birjand University of Technology, Birjand, Iran" /> <meta name="citation_author" content="Barzinpour, Farnaz" /> <meta name="citation_author_institution" content="Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran" /> <meta name="citation_author" content="Kazemi, Seyed Mahmood" /> <meta name="citation_author_institution" content="Faculty of Industrial Engineering, Birjand University of Technology, Birjand, Iran" /> <meta name="citation_abstract" content="Natural disasters, accidents, and crises, that cause widespread destruction and inflict heavy casualties, accentuate the importance of a careful planning to deal with the aftermath and mitigate their impacts responsively. Thus, the logistics of disaster relief is one of the main activities in disaster management. In this paper, the response phase of the disaster management cycle is considered and a multi-objective model for location and routing of vehicles is presented. Uncertainties in transfer time, demands of regional warehouses in the damaged areas and inventories at supply centers in different periods are taken into account. Three objectives are considered in this model. Two objectives consist of minimizing total time required to reach the damaged areas and maximizing satisfaction of the damaged areas. The third objective, which is of secondary importance, attempts to minimize total costs, including startup costs, transfer costs, and shortage costs. In order to convert the proposed multi-objective formulation to a single objective one, Global Criterion approach is applied. Afterwards, the obtained single objective model is solved using an efficient genetic algorithm and simulated annealing. Finally, a case study in Southern Khorasan is conducted and the applicability of the proposed model is examined." /> <meta name="citation_id" content="2744" /> <meta name="citation_publication_date" content="2017/11/01" /> <meta name="citation_date" content="2017-11-01" /> <meta name="citation_journal_title" content="International Journal of Supply and Operations Management" /> <meta name="citation_issn" content="23831359" /> <meta name="citation_volume" content="4" /> <meta name="citation_issue" content="4" /> <meta name="citation_firstpage" content="298" /> <meta name="citation_lastpage" content="317" /> <meta name="citation_publisher" content="Kharazmi University" /> <meta name="citation_doi" content="10.22034/2017.4.02" /> <meta name="DC.Identifier" content="10.22034/2017.4.02" /> <meta name="citation_abstract_html_url" content="http://www.ijsom.com/article_2744.html" /> <meta name="citation_pdf_url" content="http://www.ijsom.com/article_2744_28d93dc97aaf9cbe1d7143456e37e4ef.pdf" /> <meta name="DC.Title" content="A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty" /> <meta name="DC.Source" content="International Journal of Supply and Operations Management" /> <meta name="DC.Date" content="01/11/2017" /> <meta name="DC.Date.issued" content="2017-11-01" /> <meta name="DC.Format" content="application/pdf" /> <meta name="DC.Contributor" content="Saffarian, Mohsen" /> <meta name="DC.Contributor" content="Barzinpour, Farnaz" /> <meta name="DC.Contributor" content="Kazemi, Seyed Mahmood" /> <meta name="og:title" content="A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty" /> <meta name="og:description" content="Natural disasters, accidents, and crises, that cause widespread destruction and inflict heavy casualties, accentuate the importance of a careful planning to deal with the aftermath and mitigate their impacts responsively. Thus, the logistics of disaster relief is one of the main activities in disaster management. In this paper, the response phase of the disaster management cycle is considered and a multi-objective model for location and routing of vehicles is presented. Uncertainties in transfer time, demands of regional warehouses in the damaged areas and inventories at supply centers in different periods are taken into account. Three objectives are considered in this model. Two objectives consist of minimizing total time required to reach the damaged areas and maximizing satisfaction of the damaged areas. The third objective, which is of secondary importance, attempts to minimize total costs, including startup costs, transfer costs, and shortage costs. In order to convert the proposed multi-objective formulation to a single objective one, Global Criterion approach is applied. Afterwards, the obtained single objective model is solved using an efficient genetic algorithm and simulated annealing. Finally, a case study in Southern Khorasan is conducted and the applicability of the proposed model is examined." /> <meta name="og:url" content="http://www.ijsom.com/article_2744.html" />  <link href="./themes/base/front/assets/css/social-icon-font.css" rel="stylesheet" type="text/css" />  <link href="./themes/base/front/assets/plugins/bootstrap/css/bootstrap.min.css?v=0.02" rel="stylesheet" type="text/css" /> <link href="./themes/old/front/assets/css/header.css?v=0.05" rel="stylesheet" type="text/css" /> <link href="./themes/old/front/assets/css/footer.css" rel="stylesheet" type="text/css" /> <link href="./inc/css/essentials.css?v=0.2" rel="stylesheet" type="text/css" /> <link href="./inc/css/cookieconsent.min.css" rel="stylesheet" type="text/css" /> <link href="./inc/css/print.css" rel="stylesheet" type="text/css" media="print"/>  <link href="./themes/base/front/assets/plugins/bootstrap/css/bootstrap-ltr.min.css" rel="stylesheet" type="text/css" /> <link href=" 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href="./?_action=article&au=109985&_au=Mohsen++Saffarian">Mohsen Saffarian</a> <sup><a href="mailto:saffarian@birjandut.ac.ir" data-toggle="tooltip" data-placement="bottom" title="Email to Corresponding Author"><i class="fa fa-envelope-o" ></i></a></sup> <sup><a href="#aff1" >1</a></sup> </li> <li class="padding-3"> <a href="./?_action=article&au=109986&_au=Farnaz++Barzinpour">Farnaz Barzinpour</a> <sup><a href="#aff2" >2</a></sup> </li> <li class="padding-3"> <a href="./?_action=article&au=117524&_au=Seyed+Mahmood++Kazemi">Seyed Mahmood Kazemi</a> <sup><a href="#aff1" >1</a></sup> </li> </ul> <p class="margin-bottom-3 ltr" id="aff1"> <sup>1</sup> Faculty of Industrial Engineering, Birjand University of Technology, Birjand, Iran </p> <p class="margin-bottom-3 ltr" id="aff2"> <sup>2</sup> Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran </p> <div class="margin-bottom-3 ltr" id="ar_doi" title="DOI"><i class="ai ai-doi size-25 text-orange"></i> <span dir="ltr"><a href="https://dx.doi.org/10.22034/2017.4.02">10.22034/2017.4.02</a></span></div> <p style="margin:12px -2px 0 -2px"><strong>Abstract</strong></p> <div class="padding_abstract justify ltr">Natural disasters, accidents, and crises, that cause widespread destruction and inflict heavy casualties, accentuate the importance of a careful planning to deal with the aftermath and mitigate their impacts responsively. Thus, the logistics of disaster relief is one of the main activities in disaster management. In this paper, the response phase of the disaster management cycle is considered and a multi-objective model for location and routing of vehicles is presented. Uncertainties in transfer time, demands of regional warehouses in the damaged areas and inventories at supply centers in different periods are taken into account. Three objectives are considered in this model. Two objectives consist of minimizing total time required to reach the damaged areas and maximizing satisfaction of the damaged areas. The third objective, which is of secondary importance, attempts to minimize total costs, including startup costs, transfer costs, and shortage costs. In order to convert the proposed multi-objective formulation to a single objective one, Global Criterion approach is applied. Afterwards, the obtained single objective model is solved using an efficient genetic algorithm and simulated annealing. Finally, a case study in Southern Khorasan is conducted and the applicability of the proposed model is examined.</div> <p class="padding-0" style="margin:12px -2px 0 -2px"><strong>Keywords</strong></p> <ul class="block list-inline list-inline-seprator margin-bottom-6 ltr"> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105845&_kw=Relief+logistics" >Relief logistics</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105846&_kw=Location-routing+problem" >Location-routing problem</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105847&_kw=Cumulative+vehicle+routing" >Cumulative vehicle routing</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105848&_kw=Multi-objective+optimization" >Multi-objective optimization</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=100577&_kw=Uncertainty" >Uncertainty</a> </li> </ul> <p class="padding-0" style="margin:12px -2px 0 -2px"><strong>Main Subjects</strong></p> <ul class="block list-inline list-inline-seprator margin-bottom-6"> <li class="padding-3"> <a href="./?_action=article&sb=152&_sb=optimization+in+supply+chain+management" >optimization in supply chain management</a> </li> </ul> </div> <hr> <div class="page_break"></div> <div class="panel"> <div class="panel-heading card-header"> <h4 class="panel-title "> <a data-toggle="collapse" data-parent="#accordions" href="#collapsesRef"><i class="fa fa-plus"></i> References</a> </h4> </div> <div id="collapsesRef" class="panel-collapse collapse"> <div class="panel-body justify"> <div class="padding-3 margin-top-3 ltr justify">Ahmadi, M., Seifi, A., Tootoni, B., (2015). A humanitarian logistics model for disaster relief operation considering network failure and standard relief time: A case study on San Francisco district<em>.</em> <em>Transportation Research Part E: Logistics and Transportation Review</em>, Vol. 45, pp. 145-163. </div> <div class="padding-3 margin-top-3 ltr justify">Barbarosoglu, G., Arda, Y. (2004). A Two-Step Stochastic Programming Framework for Transportation Planning in Disaster Response. <em>Journal of Operational Research Society</em>, Vol. 55, pp. 43–53. </div> <div class="padding-3 margin-top-3 ltr justify">Barbarosoglu, G., Ozdamar, L., Cevik, A. (2000). An Interactive Approach for Hierarchical Analysis of Helicopter Logistics in Disaster Relief Operations<em>.</em> <em>European Journal of Operation Research</em>, Vol. 140, pp. 118–133. </div> <div class="padding-3 margin-top-3 ltr justify">Barzinpur, F., Saffarian, M., Makoui, A., Teimoury, E., (2014). Metaheuristic Algorithm for Solving Biobjective Possibility Planning Model of Location-Allocation in Disaster Relief Logistics<em>. Journal of Applied Mathematics</em>, ID: 239868. </div> <div class="padding-3 margin-top-3 ltr justify">Beltrami, E.J., Bodin, L.D. (1974). Networks and Vehicle Routing for Municipal Waste collection. <em>Networks</em>, Vol. 4(1), pp. 65-94. </div> <div class="padding-3 margin-top-3 ltr justify">Berkoune, D., Renaud, J., Rekik, M, Ruiz, A. (2012). Transportation in Disaster Response Operations<em>.</em> <em>Socio-Economic Planning Sciences</em>, Vol. 46, pp. 23-32. </div> <div class="padding-3 margin-top-3 ltr justify">Chiappetta Jabbour, C. J., Sobreiro, V. A., Lopes de Sousa Jabbour, A. B., de Souza Campos, L. M., Mariano, E. B., & Renwick, D. W. S. (2017). An analysis of the literature on humanitarian logistics and supply chain management: paving the way for future studies. <em>Annals of Operations Research</em>. doi:10.1007/s10479-017-2536-x </div> <div class="padding-3 margin-top-3 ltr justify">Christofides, N., Beasley, J.E. (1984). The Period Routing Problem. <em>Networks</em>, Vol. 14(2), pp. 237–256. </div> <div class="padding-3 margin-top-3 ltr justify">Eshghi, K., Najafi, M. (2013). A Logistics Planning Model to Improve the Response Phase of Earthquake<em>,</em> <em>International Journal of Industrial Engineering & Production Management</em>, Vol. 23, pp. 401-416. </div> <div class="padding-3 margin-top-3 ltr justify">Golabi, M., Shavarani, S. M., and Izbirak, G. (2017). An edge-based stochastic facility location problem in UAV-supported humanitarian relief logistics: a case study of Tehran earthquake. <em>Natural Hazards</em>, Vol. 87(3), pp. 1545-1565. </div> <div class="padding-3 margin-top-3 ltr justify">Jabal-Ameli, M.S., Bozorgi-Amiri, A., Heydari, M., (2011). A Multi-Objective Possibilistic Programming Model for Relief Logistics Problem. <em>International Journal of Industrial Engineering & Production Management</em>, Vol. 22, pp. 65-75. </div> <div class="padding-3 margin-top-3 ltr justify">Jha, A., Acharya, D., and Tiwari, M. K. (2017). Humanitarian relief supply chain: a multi-objective model and solution. <em>S膩dhan膩</em>, Vol. 42(7), pp. 1167-1174. </div> <div class="padding-3 margin-top-3 ltr justify">John, L. (2018). <em>Review of Empirical Studies in Humanitarian Supply Chain Management: Methodological Considerations, Recent Trends and Future Directions</em>. In G. </div> <div class="padding-3 margin-top-3 ltr justify">Kovács, K. Spens, and M. Moshtari (Eds.), The Palgrave Handbook of Humanitarian Logistics and Supply Chain Management (pp. 637-673). London: Palgrave Macmillan UK. </div> <div class="padding-3 margin-top-3 ltr justify">Ke, L., Feng, Z. (2013). A two-phase metaheuristic for the cumulative capacitated vehicle routing problem. <em>Computers & Operations Research</em>, Vol. 40, pp. 633–638. </div> <div class="padding-3 margin-top-3 ltr justify">Knott, R., (1988). Vehicle Routing for Emergency Relief Management: A Knowledge - Based Approach. <em>Disaster</em>, Vol. 12, pp. 285–293. </div> <div class="padding-3 margin-top-3 ltr justify">Lin, Y.H, Batta, R., Rogerson, A.P. Blatt, A., Flanigan, M. (2011). A logistics model for emergency supply of critical items in the aftermath of a disaster<em>,</em> <em>Socio-Economic Planning Sciences</em>, Vol. 45, pp. 132-145 </div> <div class="padding-3 margin-top-3 ltr justify">Ngueveu, S.U. , Prins, C., Calvo, R.W. (2010).  An effective memetic algorithm for the cumulative capacitated vehicle routing problem. <em>Computers & Operations Research</em>, Vol. 37, pp. 1877-1885. </div> <div class="padding-3 margin-top-3 ltr justify">Nolz, P.C., Semet, F., Doerner, K.F. (2011). Risk approaches for delivering disaster relief supplies<em>,</em> <em>OR Spectrum</em>, Vol. 33, pp. 543–569. </div> <div class="padding-3 margin-top-3 ltr justify">Oh, S., Haghani, A. (1996). Formulation and Solution of a Multi-Commodity, Multi-Modal Network Flow Model for Disaster Relief Operations. <em>Transport. Res.</em>, Vol. 30, pp. 231–250. </div> <div class="padding-3 margin-top-3 ltr justify">Ozdamar, L., Ekinci, E., Kucukyazici, B. (2004). Emergency Logistics Planning in Natural Disasters<em>.</em> <em>Annals of Operations Research</em>, Vol. 129, pp. 217–245. </div> <div class="padding-3 margin-top-3 ltr justify">Pishvaee, M.S., Torabi, S.A. (2010). A Possibilistic Programming Approach for Closed-Loop Supply Chain Network Design under Uncertainty. <em>Fuzzy Sets and Systems</em>, Vol. 161(20), pp. 2668-2683. </div> <div class="padding-3 margin-top-3 ltr justify">Rao, S.S. (1996). <em>Engineering optimization: theory and practice</em>, 3rd ed. John Wiley & Sons, New Jers. </div> <div class="padding-3 margin-top-3 ltr justify">Rath, S., Gutjahr, W.J. (2014). A math-heuristic for the warehouse location–routing problem in disaster relief<em>.</em> <em>Computers & Operations Research</em>, Vol. 42, pp. 25-39. </div> <div class="padding-3 margin-top-3 ltr justify">Saffarian, M., Barzinpour, F., Eghbali, M.A., (2015). A robust programming approach to bi-objective optimization model in the disaster relief logistics response phase, <em>International Journal of Supply and Operations Management</em>, Vol. 2(1), pp. 595-616. </div> <div class="padding-3 margin-top-3 ltr justify">Tofighi, S., Torabi, S.A., ansouri, S.A., (2016). Humanitarian logistics network design under mixed uncertainty<em>.</em> <em>European Journal of Operational Research</em>, Vol. 250, pp. 239-250. </div> <div class="padding-3 margin-top-3 ltr justify">Thomas, A.S., Kopczak, L.R. (2005). From logistics to supply chain management: the path forward in the humanitarian sector. http://www.fritzinstitute.org/PDFs /WhitePaper/ From Logisticsto.pdf. </div> <div class="padding-3 margin-top-3 ltr justify">Uslu, A., Cetinkaya, C., & 陌艦LEYEN, S. K. (2017). Vehicle pouting problem in post-disaster humanitarian relief logistics: a case study in Ankara. <em>Sigma Journal of Engineering and Natural Sciences-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI</em>, Vol. 35(3), pp. 481-499. </div> <div class="padding-3 margin-top-3 ltr justify">Van Wassenhove, L.N. (2006). Humanitarian aid logistics: supply chain management in high gear<em>.</em> <em>Journal of the Operational Research Society</em>, Vol. 57, pp. 475–489. </div> <div class="padding-3 margin-top-3 ltr justify">Van Wassenhove, L.N., Pedraza Martinez A.J. (2010). Using OR to adapt supply chain management best practices to humanitarian logistics. <em>International Transactions in operational Research</em>, Vol. 19, pp. 307-322. </div> <div class="padding-3 margin-top-3 ltr justify"> Wang, H., Du, L., Ma, S., (2014). Multi-objective open location-routing model with split delivery for optimized relief distribution in post-earthquake<em>.</em> <em>Transportation Research Part E: Logistics and Transportation Review</em>, Vol. 69, pp. 160-179.</div> </div> </div> </div> </div> </div>   <div class="col-lg-3 col-md-3 col-sm-4"> <div class="panel panel-default my_panel-default margin-bottom-10"> <div class="panel-body ar_info_pnl" id="ar_info_pnl_cover"> <div id="pnl_cover"> <div class="row" > <div class="col-xs-6 col-md-6 nomargin-bottom"> <a href="javascript:loadModal('International Journal of Supply and Operations Management', './data/ijsom/coversheet/cover_en.jpg')"> <img src="data/ijsom/coversheet/cover_en.jpg" alt="International Journal of Supply and Operations Management" style="width: 100%;"> </a> </div> <div class="col-xs-6 col-md-6 nomargin-bottom"> <h6><a href="./issue_506_510.html">Volume 4, Issue 4 - Serial Number 4</a><br/>November 2017<div id="sp_ar_pages">Pages <span 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(2017). A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty. <em>International Journal of Supply and Operations Management</em>, 4(4), 298-317. doi: 10.22034/2017.4.02</p> </div> </div> </div> </div> <div id="cite-mla" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content">  <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">MLA</h4> </div>  <div class="modal-body"> <p>Mohsen Saffarian; Farnaz Barzinpour; Seyed Mahmood Kazemi. "A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty". <em>International Journal of Supply and Operations Management</em>, 4, 4, 2017, 298-317. doi: 10.22034/2017.4.02</p> </div> </div> </div> </div> <div id="cite-harvard" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content">  <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">HARVARD</h4> </div>  <div class="modal-body"> <p>Saffarian, M., Barzinpour, F., Kazemi, S. (2017). 'A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty', <em>International Journal of Supply and Operations Management</em>, 4(4), pp. 298-317. doi: 10.22034/2017.4.02</p> </div> </div> </div> </div> <div id="cite-vancouver" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content">  <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">VANCOUVER</h4> </div>  <div class="modal-body"> <p>Saffarian, M., Barzinpour, F., Kazemi, S. A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty. <em>International Journal of Supply and Operations Management</em>, 2017; 4(4): 298-317. doi: 10.22034/2017.4.02</p> </div> </div> </div> </div> </div> </div>   <section class="alternate padding-xxs"> </section>   <div class="container"> <footer id="footer"> <div class="scrollup" id="scroll" href="#"><span></span></div> <div class="row"> <div class="col-md-2">  <h4 class="">Explore Journal</h4> <ul class="footer-links list-unstyled"> <li id="fli_home"><a href="./">Home</a></li> <li id="fli_about"><a href="./journal/about">About Journal</a></li> <li id="fli_Edb"><a href="./journal/editorial.board">Editorial Board</a></li> <li id="fli_submit"><a href="./author">Submit Manuscript</a></li> <li id="fli_contactus"><a href="./journal/contact.us">Contact Us</a></li> <li id="fli_glossary"><a href="./journal/glossary">Glossary</a></li> <li id="fli_order_hrdj"><a href="./journal/subscription.form">Hard Copy Subscription</a></li> <li id="fli_sitemap"><a href="./sitemap.xml?usr">Sitemap</a></li> </ul>  </div> <div class="col-md-3">  <h4 class="">Latest News</h4> <ul class="footer-posts list-unstyled"> <li> <a href="./news?newsCode=173">SD of ISC: Sustainable Development of Intelligent Supply Chains based on Trends and Future Directions: Application of Novel Solution Techniques</a> <small class="ltr">2023-03-05</small> </li> </ul>  </div> <div class="col-md-3">  <div><p><a title="Linkedin" href="http://www.linkedin.com/company/ijsom?trk=eml-cp_mktg-btn-welcome-20120607%2F"><img src="images/linkedin.jpg" alt="linkedin" /></a></p></div>  </div> <div class="col-md-4">  <h4 class="">Newsletter Subscription</h4> <p>Subscribe to the journal newsletter and receive the latest news and updates</p> <form class="validate" action="" method="post" data-success="Subscription saved successfully." data-toastr-position="bottom-right"> <input type="hidden" name="_token" value="7c21b72ec4e62aae0f3de117ab2031bf2d357da181926db6"/> <div class="input-group"> <span class="input-group-addon"><i class="fa fa-envelope"></i></span> <input type="email" id="email" name="email" required="required" class="form-control required sbs_email" placeholder="Enter your Email" oninvalid="this.setCustomValidity('Enter a valid email address.')" oninput="this.setCustomValidity('')"> <span class="input-group-btn"> <button class="btn btn-primary mybtn" type="submit">Subscribe</button> </span> </div> </form>   <div class="margin-top-20"> <a class="noborder" href="" target="_blank" class="social-icon social-icon-border social-facebook pull-left block" data-toggle="tooltip" data-placement="top" title="Facebook"> <i class="fa fa-facebook-square" aria-hidden="true"></i> </a> <a class="noborder" href="" target="_blank" class="social-icon social-icon-border social-facebook pull-left block" data-toggle="tooltip" data-placement="top" title="Twitter"> <i class="fa fa-twitter-square" aria-hidden="true"></i> </a> <a class="noborder" href="" target="_blank" class="social-icon social-icon-border social-facebook pull-left block" data-toggle="tooltip" data-placement="top" title="Linkedin"> <i class="fa fa-linkedin-square" aria-hidden="true"></i> </a> <a class="noborder" href="./ju.rss" class="social-icon social-icon-border social-rss pull-left block" data-toggle="tooltip" data-placement="top" title="Rss"><i class="fa fa-rss-square" aria-hidden="true"></i></a> </div> </div> </div> <div class="copyright" style="position: relative"> <ul class="nomargin list-inline mobile-block"> <li>© Journal Management System. <span id='sp_crt'>Powered by <a target='_blank' href='https://www.sinaweb.net/'>Sinaweb</a></span></li> </ul> </div> </footer> </div>  </div>   <a href="#" id="toTop_old"></a>  <div id="preloader"> <div class="inner"> <span class="loader"></span> </div> </div>  <script type="text/javascript">var plugin_path = './themes/base/front/assets/plugins/';</script> <script type="text/javascript" src="./themes/base/front/assets/js/scripts.js?v=0.02"></script>   <script type="text/javascript"> $('ul.nav li.dropdown').hover(function() { if (window.matchMedia('(max-width: 767px)').matches) return; 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A Multi-period Multi-objective Location- routing Model for Relief Chain Management under Uncertainty