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Price Discount Determination in Pricing and Inventory Control of Perishable Good with Time and Price Demand

<!DOCTYPE html> <!--[if IE 8]> <html class="ie ie8"> <![endif]--> <!--[if IE 9]> <html class="ie ie9"> <![endif]--> <!--[if gt IE 9]><!--> <html> <!--<![endif]--> <head> <meta charset="utf-8" /> <title>Price Discount Determination in Pricing and Inventory Control of Perishable Good with Time and Price Demand</title> <!-- favicon --> <link rel="shortcut icon" type="image/ico" href="./data/ijsom/coversheet/favicon.ico" /> <!-- mobile settings --> <meta name="viewport" content="width=device-width, maximum-scale=1, initial-scale=1, user-scalable=0" /> <!--[if IE]><meta http-equiv='X-UA-Compatible' content='IE=edge,chrome=1'><![endif]--> <!-- user defined metatags --> <meta name="keywords" content="Pricing,Price discount,Inventory Control,Demand rate function" /> <meta name="description" content="Determining appropriate inventory control policies and product price are important aspects in the competitive markets of perishable products. Customers’ willing to pay for perishable product is declining when approaching to the end of product’s expiry date. In this paper, we consider price discount in pricing model as an alternative approach to influence on consumers’ purchase decision. The model determines the optimal values of selling price, discount time and replenishment schedule simultaneously such that the total profit is maximized. However, because of demand increase during the discount interval, different demand rate function which is a function of price and time is used in the model. In this regard, at first, we model the problem without regarding discount that its solution shows an impossible result in reality which the replenishment time is very short. But then with regarding discount in the model, more products are sold and thus the profit increases. Finally, we solve two numerical examples used an iterative algorithm by performing a sensitivity analysis of the model parameters and also discuss about specific managerial insights." /> <meta name="title" content="Price Discount Determination in Pricing and Inventory Control of Perishable Good with Time and Price Demand" /> <meta name="googlebot" content="NOODP" /> <meta name="citation_title" content="Price Discount Determination in Pricing and Inventory Control of Perishable Good with Time and Price Demand" /> <meta name="citation_author" content="Zabihi, Fatemeh" /> <meta name="citation_author_institution" content="Department of Industrial Engineering, Technology Development Institute (ACECR), Tehran, Iran" /> <meta name="citation_author" content="Khakzar Bafruei, Morteza" /> <meta name="citation_author_institution" content="Department of Industrial Engineering, Technology Development Institute (ACECR), Tehran, Iran" /> <meta name="citation_abstract" content="Determining appropriate inventory control policies and product price are important aspects in the competitive markets of perishable products. Customers’ willing to pay for perishable product is declining when approaching to the end of product’s expiry date. In this paper, we consider price discount in pricing model as an alternative approach to influence on consumers’ purchase decision. The model determines the optimal values of selling price, discount time and replenishment schedule simultaneously such that the total profit is maximized. However, because of demand increase during the discount interval, different demand rate function which is a function of price and time is used in the model. In this regard, at first, we model the problem without regarding discount that its solution shows an impossible result in reality which the replenishment time is very short. But then with regarding discount in the model, more products are sold and thus the profit increases. Finally, we solve two numerical examples used an iterative algorithm by performing a sensitivity analysis of the model parameters and also discuss about specific managerial insights." /> <meta name="citation_id" content="2734" /> <meta name="citation_publication_date" content="2017/08/01" /> <meta name="citation_date" content="2017-08-01" /> <meta name="citation_journal_title" content="International Journal of Supply and Operations Management" /> <meta name="citation_issn" content="23831359" /> <meta name="citation_volume" content="4" /> <meta name="citation_issue" content="3" /> <meta name="citation_firstpage" content="263" /> <meta name="citation_lastpage" content="273" /> <meta name="citation_publisher" content="Kharazmi University" /> <meta name="citation_doi" content="10.22034/2017.3.06" /> <meta name="DC.Identifier" content="10.22034/2017.3.06" /> <meta name="citation_abstract_html_url" content="http://www.ijsom.com/article_2734.html" /> <meta name="citation_pdf_url" content="http://www.ijsom.com/article_2734_4e7d4b46111ec33f2419a642518b4b68.pdf" /> <meta name="DC.Title" content="Price Discount Determination in Pricing and Inventory Control of Perishable Good with Time and Price Demand" /> <meta name="DC.Source" content="International Journal of Supply and Operations Management" /> <meta name="DC.Date" content="01/08/2017" /> <meta name="DC.Date.issued" content="2017-08-01" /> <meta name="DC.Format" content="application/pdf" /> <meta name="DC.Contributor" content="Zabihi, Fatemeh" /> <meta name="DC.Contributor" content="Khakzar Bafruei, Morteza" /> <meta name="og:title" content="Price Discount Determination in Pricing and Inventory Control of Perishable Good with Time and Price Demand" /> <meta name="og:description" content="Determining appropriate inventory control policies and product price are important aspects in the competitive markets of perishable products. Customers’ willing to pay for perishable product is declining when approaching to the end of product’s expiry date. In this paper, we consider price discount in pricing model as an alternative approach to influence on consumers’ purchase decision. The model determines the optimal values of selling price, discount time and replenishment schedule simultaneously such that the total profit is maximized. However, because of demand increase during the discount interval, different demand rate function which is a function of price and time is used in the model. In this regard, at first, we model the problem without regarding discount that its solution shows an impossible result in reality which the replenishment time is very short. But then with regarding discount in the model, more products are sold and thus the profit increases. Finally, we solve two numerical examples used an iterative algorithm by performing a sensitivity analysis of the model parameters and also discuss about specific managerial insights." /> <meta name="og:url" content="http://www.ijsom.com/article_2734.html" /> <!-- WEB FONTS : use %7C instead of | (pipe) --> <link href="./themes/base/front/assets/css/social-icon-font.css" rel="stylesheet" type="text/css" /> <!-- CORE 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"/> <!-- RTL CSS --> <link href="./themes/base/front/assets/plugins/bootstrap/css/bootstrap-ltr.min.css" rel="stylesheet" type="text/css" /> <link href=" ./themes/base/front/assets/css/gfonts-OpenSans.css" rel="stylesheet" type="text/css" /> <link href="./themes/old/front/assets/css/accordian.css" rel="stylesheet" type="text/css" /> <link href="./themes/base/front/assets/css/academicons.min.css" rel="stylesheet" type="text/css" /> <!-- user defined metatags--> <meta name="google-site-verification" content="UlbWpwabckk_wTgRmzoJCVPEYKnomtCLcftujpXdou4" /> <link href="./data/ijsom/coversheet/stl_front.css?v=0.44" rel="stylesheet" type="text/css" /> <link href="./data/ijsom/coversheet/stl.css" rel="stylesheet" type="text/css" /> <!-- Feed--> <link rel="alternate" type="application/rss+xml" title="RSS feed" href="ju.rss" /> <script type="text/javascript" src="./themes/base/front/assets/plugins/jquery/jquery.min.js?v=0.5"></script> <script type="text/javascript" src="./inc/js/common.js?v=0.1"></script> <script type="text/javascript" src="./inc/js/jquery/cookieconsent.min.js"></script> <!-- Extra Style Scripts --> <!-- Extra Script Scripts --> <script src="inc/js/article.js?v=0.31" type="text/javascript" ></script> </head> <body class="ltr len"> <div class="container" id="header"> <div class="row"> <div class="col-xs-12 text-center"> <img src="./data/ijsom/coversheet/head_en.jpg" class="img-responsive text-center" style="display:-webkit-inline-box; 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Customers&rsquo; willing to pay for perishable product is declining when approaching to the end of product&rsquo;s expiry date. In this paper, we consider price discount in pricing model as an alternative approach to influence on consumers&rsquo; purchase decision. The model determines the optimal values of selling price, discount time and replenishment schedule simultaneously such that the total profit is maximized. However, because of demand increase during the discount interval, different demand rate function which is a function of price and time is used in the model. In this regard, at first, we model the problem without regarding discount that its solution shows an impossible result in reality which the replenishment time is very short. But then with regarding discount in the model, more products are sold and thus the profit increases. Finally, we solve two numerical examples used an iterative algorithm by performing a sensitivity analysis of the model parameters and also discuss about specific managerial insights.</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&amp;kw=105451&amp;_kw=Pricing" >Pricing</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&amp;kw=105812&amp;_kw=Price+discount" >Price discount</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&amp;kw=105813&amp;_kw=Inventory+Control" >Inventory Control</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&amp;kw=105814&amp;_kw=Demand+rate+function" >Demand rate function</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&amp;sb=152&amp;_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">Chang, H., Teng, J., Ouyang, and Dye, C. (2006). Retailer&rsquo;s optimal pricing and lotsizing policies for deteriorating items with partial backlogging. <em>European Journal of Operational Research</em> ,Vol. 168, pp. 51-64. </div> <div class="padding-3 margin-top-3 ltr justify">D&iacute;az, I. M. (2006). Demand restrictions in price-based decisions: manager versus? consumers. <em>Journal of Product &amp; Demand Management </em>, Vol. 15 (3), pp. 214-224. </div> <div class="padding-3 margin-top-3 ltr justify">Dye, C. (2007). Joint pricing and ordering policy for a deteriorating inventory with partial backlogging. <em>Omega</em>, Vol. 35, pp. 184-189. </div> <div class="padding-3 margin-top-3 ltr justify">Eilon, S., and Mallaya, R. V. (1966). Issuing and pricing policy of semi-perishables. In Proceedings of the 4th International Conference on Operational Research, Wiley-Interscience. New York, NY, USA. </div> <div class="padding-3 margin-top-3 ltr justify">Ghare, P. M., and Schrader, G. H. (1963). A model for an exponentially decaying inventory. <em>Journal of Industrial Engineering</em> , Vol. 14, pp. 238-243. </div> <div class="padding-3 margin-top-3 ltr justify">Karaesmen, I., Scheller&ndash;Wolf, A., and Deniz, B. (2011). Managing perishable and aging inventories: review and future research directions. <em>Planning Production and Inventories in the Extended Enterprise: International Series in Operations Research and Management Science</em> , Vol. 151, pp. 393-436. </div> <div class="padding-3 margin-top-3 ltr justify">Maihami, R., and Karimi, B. (2014). Optimizing the pricing and replenishment policy for non-instantaneous deteriorating items with stochastic demand and promotional efforts. <em>Computers &amp; Operations Research</em> , Vol. 51, pp. 302-312. </div> <div class="padding-3 margin-top-3 ltr justify">Maihami, R., and Nakhai Kamalabadi, I. (2012). Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand. <em>International Journal Production Economics</em>, Vol. 136, pp. 116-122. </div> <div class="padding-3 margin-top-3 ltr justify">Nahmias, S. (1982). Perishable inventory theory: A review. <em>Operations Research</em> , demonstrate Vol. 30 (3), pp. 680-708. </div> <div class="padding-3 margin-top-3 ltr justify">Raafat, F. (1991). Survey of literature on continuously deteriorating inventory model. <em>Journal of the Operational Research Society</em> <em>,</em> Vol. 42, pp. 27-37. </div> <div class="padding-3 margin-top-3 ltr justify">Tajbakhsh, M., Lee, C., and Zolfaghari, S. (2011). An inventory model with random discount offerings. <em>Omega, </em>Vol. 39 (6), pp. 710&ndash;718. </div> <div class="padding-3 margin-top-3 ltr justify">Wee, H. M. (1995). Joint pricing and replenishment policy for deteriorating inventory with declining market. <em>International Journal of Production Economics</em> <em>,</em> Vol. 40, pp. 163&ndash;171. </div> <div class="padding-3 margin-top-3 ltr justify">Yang, C., Quyang, L., and Wu, H. (2009). Retailers optimal pricing and ordering policies for Non-instantaneous deteriorating items with price-dependentdemand and partial backlogging. <em>Mathematical Problems in Engineering</em> . Article ID 198305, 18 pages </div> <div class="padding-3 margin-top-3 ltr justify">Yu-Chung, T., and Ji, S. G. (2008). Dynamic pricing, promotion and replenishment policies for a deteriorating item under permissible delay in payments. <em>Computers &amp; Operation Research</em> <em>, </em>Vol. 35, pp. 3562-3580.</div> </div> </div> </div> </div> </div> <!-- /CENTER --> <!-- LEFT --> <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_509.html">Volume 4, Issue 3 - Serial Number 3</a><br/>August 2017<div id="sp_ar_pages">Pages <span 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F., & Khakzar Bafruei, M. (2017). Price Discount Determination in Pricing and Inventory Control of Perishable Good with Time and Price Demand. <em>International Journal of Supply and Operations Management</em>, 4(3), 263-273. doi: 10.22034/2017.3.06</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"> <!-- Modal Header --> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">MLA</h4> </div> <!-- Modal Body --> <div class="modal-body"> <p>Fatemeh Zabihi; Morteza Khakzar Bafruei. "Price Discount Determination in Pricing and Inventory Control of Perishable Good with Time and Price Demand". <em>International Journal of Supply and Operations Management</em>, 4, 3, 2017, 263-273. doi: 10.22034/2017.3.06</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"> <!-- Modal Header --> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">HARVARD</h4> </div> <!-- Modal Body --> <div class="modal-body"> <p>Zabihi, F., Khakzar Bafruei, M. (2017). 'Price Discount Determination in Pricing and Inventory Control of Perishable Good with Time and Price Demand', <em>International Journal of Supply and Operations Management</em>, 4(3), pp. 263-273. doi: 10.22034/2017.3.06</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"> <!-- Modal Header --> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">VANCOUVER</h4> </div> <!-- Modal Body --> <div class="modal-body"> <p>Zabihi, F., Khakzar Bafruei, M. Price Discount Determination in Pricing and Inventory Control of Perishable Good with Time and Price Demand. <em>International Journal of Supply and Operations Management</em>, 2017; 4(3): 263-273. doi: 10.22034/2017.3.06</p> </div> </div> </div> </div> </div> </div> <!-- /MAIN CONTENT --> <!-- Subscribe --> <section class="alternate padding-xxs"> </section> <!-- /Subscribe --> <!-- FOOTER --> <div class="container"> <footer id="footer"> <div class="scrollup" id="scroll" href="#"><span></span></div> <div class="row"> <div class="col-md-2"> <!-- Links --> <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> <!-- /Links --> </div> <div class="col-md-3"> <!-- Latest News --> <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> <!-- /Latest News --> </div> <div class="col-md-3"> <!-- Footer Note --> <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> <!-- /Footer Note --> </div> <div class="col-md-4"> <!-- Newsletter Form --> <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="8e89165ecf03316fa5a225d732019ae193a1a1dc531cc044"/> <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> <!-- /Newsletter Form --> <!-- Social Icons --> <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>&copy; 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