A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network

<!DOCTYPE html>    <html>  <head> <meta charset="utf-8" /> <title>A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network</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="Closed-loop supply chain,Colocation decision,Network design,Remanufacturing" /> <meta name="description" content="Closed-loop supply chain network design is a critical issue due to its impact on both economic and environmental performances of the supply chain. In this paper, we address the problem of designing a multi-echelon, multi-product and capacitated closed-loop supply chain network. First, a mixed-integer linear programming formulation is developed to maximize the total profit. The main contribution of the proposed model is addressing two economic viability issues of closed-loop supply chain. The first issue is the collection of sufficient quantity of end-of-life products are assured by retailers against an acquisition price. The second issue is exploiting the benefits of colocation of forward facilities and reverse facilities. The presented model is solved by LINGO for some test problems. Computational results and sensitivity analysis are conducted to show the performance of the proposed model." /> <meta name="title" content="A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network" /> <meta name="googlebot" content="NOODP" /> <meta name="citation_title" content="A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network" /> <meta name="citation_author" content="Elbounjimi, Mbarek" /> <meta name="citation_author_institution" content="Department of Industrial Engineering, University of Quebec, Trois Rivires, Canada" /> <meta name="citation_author" content="Abdulnour, Georges" /> <meta name="citation_author_institution" content="Department of Industrial Engineering, University of Quebec, Trois Rivires, Canada" /> <meta name="citation_author" content="Ait Kadi, Daoud" /> <meta name="citation_author_institution" content="Laval University, Qu茅bec, Canada" /> <meta name="citation_abstract" content="Closed-loop supply chain network design is a critical issue due to its impact on both economic and environmental performances of the supply chain. In this paper, we address the problem of designing a multi-echelon, multi-product and capacitated closed-loop supply chain network. First, a mixed-integer linear programming formulation is developed to maximize the total profit. The main contribution of the proposed model is addressing two economic viability issues of closed-loop supply chain. The first issue is the collection of sufficient quantity of end-of-life products are assured by retailers against an acquisition price. The second issue is exploiting the benefits of colocation of forward facilities and reverse facilities. The presented model is solved by LINGO for some test problems. Computational results and sensitivity analysis are conducted to show the performance of the proposed model." /> <meta name="citation_id" content="2541" /> <meta name="citation_publication_date" content="2015/11/01" /> <meta name="citation_date" content="2015-11-01" /> <meta name="citation_journal_title" content="International Journal of Supply and Operations Management" /> <meta name="citation_issn" content="23831359" /> <meta name="citation_volume" content="2" /> <meta name="citation_issue" content="3" /> <meta name="citation_firstpage" content="820" /> <meta name="citation_lastpage" content="832" /> <meta name="citation_publisher" content="Kharazmi University" /> <meta name="citation_doi" content="10.22034/2015.3.01" /> <meta name="DC.Identifier" content="10.22034/2015.3.01" /> <meta name="citation_abstract_html_url" content="http://www.ijsom.com/article_2541.html" /> <meta name="citation_pdf_url" content="http://www.ijsom.com/article_2541_3dadc89017dd0210aabcfca2e21572bd.pdf" /> <meta name="DC.Title" content="A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network" /> <meta name="DC.Source" content="International Journal of Supply and Operations Management" /> <meta name="DC.Date" content="01/11/2015" /> <meta name="DC.Date.issued" content="2015-11-01" /> <meta name="DC.Format" content="application/pdf" /> <meta name="DC.Contributor" content="Elbounjimi, Mbarek" /> <meta name="DC.Contributor" content="Abdulnour, Georges" /> <meta name="DC.Contributor" content="Ait Kadi, Daoud" /> <meta name="og:title" content="A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network" /> <meta name="og:description" content="Closed-loop supply chain network design is a critical issue due to its impact on both economic and environmental performances of the supply chain. 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Computational results and sensitivity analysis are conducted to show the performance of the proposed model." /> <meta name="og:url" content="http://www.ijsom.com/article_2541.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=114893&_au=Mbarek++Elbounjimi">Mbarek Elbounjimi</a> <sup><a href="mailto:mbarek.elbounjimi@uqtr.ca" 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=114894&_au=Georges++Abdulnour">Georges Abdulnour</a> <sup><a href="#aff1" >1</a></sup> </li> <li class="padding-3"> <a href="./?_action=article&au=114895&_au=Daoud++Ait+kadi">Daoud Ait kadi</a> <sup><a href="#aff2" >2</a></sup> </li> </ul> <p class="margin-bottom-3 ltr" id="aff1"> <sup>1</sup> Department of Industrial Engineering, University of Quebec, Trois Rivires, Canada </p> <p class="margin-bottom-3 ltr" id="aff2"> <sup>2</sup> Laval University, Québec, Canada </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/10.22034/2015.3.01">10.22034/2015.3.01</a></span></div> <p style="margin:12px -2px 0 -2px"><strong>Abstract</strong></p> <div class="padding_abstract justify ltr">Closed-loop supply chain network design is a critical issue due to its impact on both economic and environmental performances of the supply chain. In this paper, we address the problem of designing a multi-echelon, multi-product and capacitated closed-loop supply chain network. First, a mixed-integer linear programming formulation is developed to maximize the total profit. The main contribution of the proposed model is addressing two economic viability issues of closed-loop supply chain. The first issue is the collection of sufficient quantity of end-of-life products are assured by retailers against an acquisition price. The second issue is exploiting the benefits of colocation of forward facilities and reverse facilities. The presented model is solved by LINGO for some test problems. Computational results and sensitivity analysis are conducted to show the performance of the proposed model.</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=104889&_kw=Closed-loop+supply+chain" >Closed-loop supply chain</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=104890&_kw=Colocation+decision" >Colocation decision</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=104238&_kw=Network+design" >Network design</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=104891&_kw=Remanufacturing" >Remanufacturing</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=175&_sb=modelling+%26amp%3B+simulation" >modelling & simulation</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">Amin, S. H., & Zhang, G. (2012). An integrated model for closed-loop supply chain configuration and supplier selection: Multi-objective approach. Expert Systems with Applications, Vol. 39(8), pp. 6782-6791. <br /> <br />Beamon, B. M., & Fernandes, C., (2004). Supply-chain network configuration for product recovery. Production Planning & Control, Vol. 15(3), pp. 270-281. <br /> <br />Demirel, N.Ö., Gökçen, H., (2008). A mixed integer programming model for remanufacturing in reverse logistics environment. International Journal of Advanced Manufacturing Technology, Vol. 39(11-12), pp. 1197-1206. <br /> <br />Elbounjimi, M., Abdulnour, G., Ait-Kadi, D. (2014).Green Closed-loop Supply Chain Network Design: A Literature Review. International Journal of Operations and Logistics Management, Vol. 3(4), pp. 275-286. <br /> <br />Fleischmann, M, Beullens, P. Bloemhof-Ruwaard, J. M, Van Wassenhove, L. N (2001). The impact of product recovery on logistics network design, Production and Operations Management, Vol. 10 (2), pp. 156. <br /> <br />Guide Jr, V. D. R., Teunter, R. H., Van Wassenhove, L. N (2003). Matching demand and supply to maximize profits from remanufacturing". Manufacturing &Service Operations Management, Vol. 5(4), pp. 303-316. <br /> <br />Keyvanshokooh, E., Fattahi, M., Seyed-Hosseini, S. M., Tavakkoli Moghaddam, R. A (2013) dynamic pricing approach for returned products in integrated forward/reverse logistics network design. Applied Mathematical Modelling, Vol. 37(24), pp. 10182-10202.  </div> <div class="padding-3 margin-top-3 ltr justify"><br />Ko, H. J. and Evans, G. W. (2007), “A genetic algorithm-based heuristic for the dynamic integrated forward/reverse logistics network for 3PLs. Computers & Operations Research. Vol. 34(2), pp. 346-366. <br /> <br />Lee, D.H, Dong, M. (2009). Dynamic network design for reverse logistics operations under uncertainty, Transp. Res. Part E, Vol. 45, pp. 61–71. <br /> <br />Pishvaee, M. S., Farahani, R. Z., & Dullaert, W.,(2010). A memetic algorithm for bi-objective integrated forward/reverse logistics network design. Computers and Operations. Research, Vol. 37(6), pp. 1100-1112. <br /> <br />Savaskan, R. C., Bhattacharya, S., Van Wassenhove, L. N., (2004). Closed-loop supply chain models with product remanufacturing, Management science, Vol. 50(2), pp. 239-252. <br /> <br />Salema, M. I. G., Barbosa-Povoa, A. P., & Novais, A. Q (2007). An optimization model for the design of a capacitated multi-product reverse logistics network with uncertainty. European Journal of Operational Research, Vol. 179(3), pp. 1063-1077. <br /> <br />Wang, H. F., & Hsu, H. W. (2010). A closed-loop logistic model with a spanning- tree based genetic algorithm. Computers & operations research, Vol. 37(2), pp. 376-389.</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_460_477.html">Volume 2, Issue 3 - Serial Number 3</a><br/>November 2015<div id="sp_ar_pages">Pages <span dir="ltr">820-832</span></div></h6> </div> </div> </div> </div> </div>  <div class="panel panel-default my_panel-default margin-bottom-10 panel-lists"> <div class="panel-heading"> <h3 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style="display:block !important;max-height:9999px"> <li class="list-group-item"><a class="tag_a">Article View: <i>4,784</i></a></li> <li class="list-group-item"><a class="tag_a">PDF Download: <i>2,593</i></a></li> </ul> </div> </div> </div> </div>  </div> </section> <div id="cite-apa" 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">APA</h4> </div>  <div class="modal-body"> <p>Elbounjimi, M., Abdulnour, G., & Ait kadi, D. (2015). A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network. <em>International Journal of Supply and Operations Management</em>, 2(3), 820-832. doi: 10.22034/2015.3.01</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>Mbarek Elbounjimi; Georges Abdulnour; Daoud Ait kadi. "A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network". <em>International Journal of Supply and Operations Management</em>, 2, 3, 2015, 820-832. doi: 10.22034/2015.3.01</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>Elbounjimi, M., Abdulnour, G., Ait kadi, D. (2015). 'A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network', <em>International Journal of Supply and Operations Management</em>, 2(3), pp. 820-832. doi: 10.22034/2015.3.01</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>Elbounjimi, M., Abdulnour, G., Ait kadi, D. A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network. <em>International Journal of Supply and Operations Management</em>, 2015; 2(3): 820-832. doi: 10.22034/2015.3.01</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="7e0056b225fd11679805838bee4533187acd8461737cccbc"/> <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 Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed鈥搇oop Supply Chain Network