Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit

<!DOCTYPE html>    <html>  <head> <meta charset="utf-8" /> <title>Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit</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="Supply chain,Deterioration,Imperfect production,Advertisement and stock dependent demand,Trade-credit" /> <meta name="description" content="This article presents a two-echelon supply chain model for deteriorating items, consisting of a single manufacturer and a single retailer, where the customer's demand to the retailer depends on advertisement and the displayed stock level of the retailer. Due to the imperfect production system, the manufacturer produces a certain quantity of imperfect items with the perfect items. The manufacturer inspects all the products immediately after production and sells the perfect quality items to the retailer. To entice the retailer to purchase more products from him, the manufacturer offers the retailer a trade-credit policy so that the retailer can get a chance to settle his account before the payment for the products. Finally, a cost function of this model has been derived. Numerical examples have been presented to clarify the applicability of this model and sensitivity analysis with respect to the different parameters involved with the model has been presented to study the effect of change of the parameters on the decision variables." /> <meta name="title" content="Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit" /> <meta name="googlebot" content="NOODP" /> <meta name="citation_title" content="Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit" /> <meta name="citation_author" content="Saha, Sujata" /> <meta name="citation_author_institution" content="Department of Mathematics, Mankar College, Mankar, West Bengal, India" /> <meta name="citation_author" content="Chakrabarti, Tripti" /> <meta name="citation_author_institution" content="Department of Basic Sciences, Techno India University, Kolkata, West Bengal, India" /> <meta name="citation_abstract" content="This article presents a two-echelon supply chain model for deteriorating items, consisting of a single manufacturer and a single retailer, where the customer's demand to the retailer depends on advertisement and the displayed stock level of the retailer. Due to the imperfect production system, the manufacturer produces a certain quantity of imperfect items with the perfect items. The manufacturer inspects all the products immediately after production and sells the perfect quality items to the retailer. To entice the retailer to purchase more products from him, the manufacturer offers the retailer a trade-credit policy so that the retailer can get a chance to settle his account before the payment for the products. Finally, a cost function of this model has been derived. Numerical examples have been presented to clarify the applicability of this model and sensitivity analysis with respect to the different parameters involved with the model has been presented to study the effect of change of the parameters on the decision variables." /> <meta name="citation_id" content="2766" /> <meta name="citation_publication_date" content="2018/08/01" /> <meta name="citation_date" content="2018-08-01" /> <meta name="citation_journal_title" content="International Journal of Supply and Operations Management" /> <meta name="citation_issn" content="23831359" /> <meta name="citation_volume" content="5" /> <meta name="citation_issue" content="3" /> <meta name="citation_firstpage" content="207" /> <meta name="citation_lastpage" content="217" /> <meta name="citation_publisher" content="Kharazmi University" /> <meta name="citation_doi" content="10.22034/2018.3.5" /> <meta name="DC.Identifier" content="10.22034/2018.3.5" /> <meta name="citation_abstract_html_url" content="http://www.ijsom.com/article_2766.html" /> <meta name="citation_pdf_url" content="http://www.ijsom.com/article_2766_aaef4a4d494f7af1e1a0212502b29429.pdf" /> <meta name="DC.Title" content="Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit" /> <meta name="DC.Source" content="International Journal of Supply and Operations Management" /> <meta name="DC.Date" content="01/08/2018" /> <meta name="DC.Date.issued" content="2018-08-01" /> <meta name="DC.Format" content="application/pdf" /> <meta name="DC.Contributor" content="Saha, Sujata" /> <meta name="DC.Contributor" content="Chakrabarti, Tripti" /> <meta name="og:title" content="Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit" /> <meta name="og:description" content="This article presents a two-echelon supply chain model for deteriorating items, consisting of a single manufacturer and a single retailer, where the customer's demand to the retailer depends on advertisement and the displayed stock level of the retailer. Due to the imperfect production system, the manufacturer produces a certain quantity of imperfect items with the perfect items. The manufacturer inspects all the products immediately after production and sells the perfect quality items to the retailer. To entice the retailer to purchase more products from him, the manufacturer offers the retailer a trade-credit policy so that the retailer can get a chance to settle his account before the payment for the products. Finally, a cost function of this model has been derived. Numerical examples have been presented to clarify the applicability of this model and sensitivity analysis with respect to the different parameters involved with the model has been presented to study the effect of change of the parameters on the decision variables." /> <meta name="og:url" content="http://www.ijsom.com/article_2766.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"/>  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Paper</p> <p class="padding-0" style="margin:12px -2px 0 -2px"><strong>Authors</strong></p> <ul class="list-inline list-inline-seprator margin-bottom-6 ltr"> <li class="padding-3"> <a href="./?_action=article&au=117627&_au=Sujata++Saha">Sujata Saha</a> <sup><a href="mailto:sahasujata@outlook.com" 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=117628&_au=Tripti++Chakrabarti">Tripti Chakrabarti</a> <sup><a href="#aff2" >2</a></sup> </li> </ul> <p class="margin-bottom-3 ltr" id="aff1"> <sup>1</sup> Department of Mathematics, Mankar College, Mankar, West Bengal, India </p> <p class="margin-bottom-3 ltr" id="aff2"> <sup>2</sup> Department of Basic Sciences, Techno India University, Kolkata, West Bengal, India </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/10.22034/2018.3.5">10.22034/2018.3.5</a></span></div> <p style="margin:12px -2px 0 -2px"><strong>Abstract</strong></p> <div class="padding_abstract justify ltr">This article presents a two-echelon supply chain model for deteriorating items, consisting of a single manufacturer and a single retailer, where the customer's demand to the retailer depends on advertisement and the displayed stock level of the retailer. Due to the imperfect production system, the manufacturer produces a certain quantity of imperfect items with the perfect items. The manufacturer inspects all the products immediately after production and sells the perfect quality items to the retailer. To entice the retailer to purchase more products from him, the manufacturer offers the retailer a trade-credit policy so that the retailer can get a chance to settle his account before the payment for the products. Finally, a cost function of this model has been derived. Numerical examples have been presented to clarify the applicability of this model and sensitivity analysis with respect to the different parameters involved with the model has been presented to study the effect of change of the parameters on the decision variables.</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=105097&_kw=Supply+chain" >Supply chain</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=102662&_kw=Deterioration" >Deterioration</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105931&_kw=Imperfect+production" >Imperfect production</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105932&_kw=Advertisement+and+stock+dependent+demand" >Advertisement and stock dependent demand</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105933&_kw=Trade-credit" >Trade-credit</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">Annadurai, K. 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Fuzzy Inventory Model for Deteriorating Items in a Supply Chain System with Price Dependent Demand and Without Backorder. <em>American Journal of Engineering Research (AJER)</em>, Vol. 6(6), pp. 183–187. </div> <div class="padding-3 margin-top-3 ltr justify">Saha, S., and Chakrabarti, T. (2018a). A Two-Echelon Supply Chain Model for Deteriorating Product with Time-Dependent Demand , Demand-Dependent Production Rate and Shortage. <em>IOSRJournal of Engineering (IOSRJEN)</em>, Vol. 8(1), pp. 33–38. </div> <div class="padding-3 margin-top-3 ltr justify">Saha, S., and Chakrabarti, T. (2018b). An EPQ Model for Deteriorating Items with Probabilistic Demand andVariable Production Rate. <em>American Journal of Engineering Research (AJER)</em>, Vol. 6, pp. 153–161. </div> <div class="padding-3 margin-top-3 ltr justify">Sana, S. S. (2010). 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A two-stage data envelopment analysis model for measuring performance in three-level supply chains. <em>Measurement</em>, Vol. 78, pp. 322–333. </div> <div class="padding-3 margin-top-3 ltr justify">Tiwari, S., Jaggi, C. K., Gupta, M., and Cárdenas-Barrón, L. E. (2018). Optimal pricing and lot-sizing policy for supply chain system with deteriorating items under limited storage capacity. <em>International Journal of Production Economics</em>, Vol. 200, pp. 278–290. </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_511_514.html">Volume 5, Issue 3 - Serial Number 3</a><br/>August 2018<div id="sp_ar_pages">Pages <span dir="ltr">207-217</span></div></h6> </div> </div> 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(2018). Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit. <em>International Journal of Supply and Operations Management</em>, 5(3), 207-217. doi: 10.22034/2018.3.5</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>Sujata Saha; Tripti Chakrabarti. "Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit". <em>International Journal of Supply and Operations Management</em>, 5, 3, 2018, 207-217. doi: 10.22034/2018.3.5</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>Saha, S., Chakrabarti, T. (2018). 'Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit', <em>International Journal of Supply and Operations Management</em>, 5(3), pp. 207-217. doi: 10.22034/2018.3.5</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>Saha, S., Chakrabarti, T. Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit. <em>International Journal of Supply and Operations Management</em>, 2018; 5(3): 207-217. doi: 10.22034/2018.3.5</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="8248e853cb0217a407eac6c5d2ce13441094b1cc83009ed7"/> <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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Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit