Jointly pricing and ordering for a multi-product multi-constraint newsvendor problem with supplier quantity discounts
We present an extension to the multi-product newsvendor problem by incorporating the retailer’s pricing decision as well as considering supplier quantity discount. The objective is to maximize the expected profit of the retailer through jointly determining the ordering quantities and selling prices...
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| Published in | Applied mathematical modelling Vol. 35; no. 6; pp. 3001 - 3011 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
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Elsevier Inc
01.06.2011
Elsevier |
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| Abstract | We present an extension to the multi-product newsvendor problem by incorporating the retailer’s pricing decision as well as considering supplier quantity discount. The objective is to maximize the expected profit of the retailer through jointly determining the ordering quantities and selling prices for the products, subject to multiple capacity constraints. We formulate the problem as a Generalized Disjunctive Programming (GDP) model and develop a Lagrangian heuristic approach for its solution. Randomly produced instances involving up to 1000 products are used to test the proposed approach. Computational results show that the Lagrangian heuristic approach can present very good solutions to all instances in reasonable time. |
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| AbstractList | We present an extension to the multi-product newsvendor problem by incorporating the retailer's pricing decision as well as considering supplier quantity discount. The objective is to maximize the expected profit of the retailer through jointly determining the ordering quantities and selling prices for the products, subject to multiple capacity constraints. We formulate the problem as a Generalized Disjunctive Programming (GDP) model and develop a Lagrangian heuristic approach for its solution. Randomly produced instances involving up to 1000 products are used to test the proposed approach. Computational results show that the Lagrangian heuristic approach can present very good solutions to all instances in reasonable time. |
| Author | Shi, Jianmai Zhang, Guoqing Sha, Jichang |
| Author_xml | – sequence: 1 givenname: Jianmai surname: Shi fullname: Shi, Jianmai organization: Department of Industrial and Manufacturing Systems Engineering, University of Windsor, Windsor, Ontario, Canada – sequence: 2 givenname: Guoqing surname: Zhang fullname: Zhang, Guoqing email: gzhang@uwindsor.ca organization: Department of Industrial and Manufacturing Systems Engineering, University of Windsor, Windsor, Ontario, Canada – sequence: 3 givenname: Jichang surname: Sha fullname: Sha, Jichang organization: School of Information System and Management, National University of Defense Technology, Changsha, Hunan, China |
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| Cites_doi | 10.1287/opre.47.2.183 10.1021/ie9600856 10.1111/j.1937-5956.2000.tb00139.x 10.1287/msom.3.3.242.9888 10.1016/S0305-0483(99)00017-1 10.1111/j.1540-5915.1996.tb01827.x 10.1016/j.ejor.2005.11.002 10.2307/1883828 10.1016/0098-1354(93)E0010-7 10.1016/j.ijpe.2003.09.004 10.1016/j.ejor.2005.09.046 10.1016/j.cor.2004.02.002 10.1016/j.ijpe.2004.08.008 10.1016/S0377-2217(96)00158-0 10.1016/0377-2217(93)E0135-K 10.1016/S0925-5273(99)00129-2 10.1016/j.ijpe.2008.05.003 10.1016/j.apm.2008.08.016 10.1016/j.amc.2005.11.123 10.1016/j.ijpe.2007.03.026 10.1016/0272-6963(95)00019-O 10.1287/opre.1070.0430 10.1016/0377-2217(95)00192-1 10.1080/00207540701678944 10.1057/palgrave.jors.2600938 10.1016/j.omega.2008.08.002 10.1287/mnsc.2.1.61 10.1016/j.ejor.2008.01.030 10.1016/j.ijpe.2008.10.003 |
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| Keywords | Supply chain Ordering Discount Newsvendor Pricing Used machinery Lagrangian Decision making Newsboy problem Multiple production Modeling Gross domestic product Selling price Quantity discount Retailers Disjunctive programming Heuristic method Profit Capacity constraint By product Logistics |
| Language | English |
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| Snippet | We present an extension to the multi-product newsvendor problem by incorporating the retailer’s pricing decision as well as considering supplier quantity... We present an extension to the multi-product newsvendor problem by incorporating the retailer's pricing decision as well as considering supplier quantity... |
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| SubjectTerms | Applied sciences Computation Decision theory. Utility theory Discount Discounts Exact sciences and technology Heuristic methods Inventory control, production control. Distribution Logistics Mathematical models Newsvendor Operational research and scientific management Operational research. Management science Order disorder Ordering Pricing Programming Suppliers Supply chain |
| Title | Jointly pricing and ordering for a multi-product multi-constraint newsvendor problem with supplier quantity discounts |
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