A capacitated multi-product dynamic lot-sizing problem by considering expiration dates; A new approach
Although managing and controlling the inventories of perishable products is progressively becoming more important, they are often neglected in lot-sizing research and modeling. This paper studies a new multi-product multi-period dynamic lot sizing problem, where the inventories of products are assum...
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| Published in | IFAC Proceedings Volumes Vol. 46; no. 9; pp. 152 - 157 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
2013
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1474-6670 |
| DOI | 10.3182/20130619-3-RU-3018.00230 |
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| Abstract | Although managing and controlling the inventories of perishable products is progressively becoming more important, they are often neglected in lot-sizing research and modeling. This paper studies a new multi-product multi-period dynamic lot sizing problem, where the inventories of products are assumed to be expired at a pre-specified date. For this purpose we assume a retailer that purchases products in large quantities (lot size) from manufacturers, and then sells smaller quantities (or single units) to the consumer. So, the order quantities can be merely an integer multiplier of that product batch size. The retailer also owns a capacitated warehouse. In order to make decisions on “how much to order” and “when to order”, a novel mixed integer programming model is developed that minimizes total costs including the procurement cost, inventory holding cost, ordering, backordering and expiration costs subject to warehouse capacity. Furthermore, a numerical example is presented to demonstrate the applicability of the proposed model. |
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| AbstractList | Although managing and controlling the inventories of perishable products is progressively becoming more important, they are often neglected in lot-sizing research and modeling. This paper studies a new multi-product multi-period dynamic lot sizing problem, where the inventories of products are assumed to be expired at a pre-specified date. For this purpose we assume a retailer that purchases products in large quantities (lot size) from manufacturers, and then sells smaller quantities (or single units) to the consumer. So, the order quantities can be merely an integer multiplier of that product batch size. The retailer also owns a capacitated warehouse. In order to make decisions on “how much to order” and “when to order”, a novel mixed integer programming model is developed that minimizes total costs including the procurement cost, inventory holding cost, ordering, backordering and expiration costs subject to warehouse capacity. Furthermore, a numerical example is presented to demonstrate the applicability of the proposed model. |
| Author | BABOLI, A. AL-E-HASHEM, S.M.J. MIRZAPOUR REKIK, Y. JOKAR, M. AKBARI SAZVAR, Z. |
| Author_xml | – sequence: 1 givenname: S.M.J. MIRZAPOUR surname: AL-E-HASHEM fullname: AL-E-HASHEM, S.M.J. MIRZAPOUR email: mirzapouralehashem@em-lyon.com organization: EMLYON Business School, 23 avenue Guy de Collongue, 69134 Ecully, Lyon, France – sequence: 2 givenname: Z. surname: SAZVAR fullname: SAZVAR, Z. email: zeinab.sazvar@insa-lyon.fr, sazvar@mehr.sharif.ir organization: Université de Lyon, INSA-Lyon, DISP Laboratory, F-69621, France (Tel.: +33472437536 – sequence: 3 givenname: A. surname: BABOLI fullname: BABOLI, A. email: armand.baboli@insa-lyon.fr organization: Université de Lyon, INSA-Lyon, DISP Laboratory, F-69621, France (Tel.: +33472437536 – sequence: 4 givenname: Y. surname: REKIK fullname: REKIK, Y. email: Rekik@em-lyon.com organization: EMLYON Business School, 23 avenue Guy de Collongue, 69134 Ecully, Lyon, France – sequence: 5 givenname: M. AKBARI surname: JOKAR fullname: JOKAR, M. AKBARI email: reza.akbari@sharif.edu organization: Department of Industrial Engineering, Sharif University of Technology, Tehran, Iran |
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| Cites_doi | 10.1016/j.omega.2006.11.004 10.1016/j.ejor.2011.01.031 10.1016/j.ijpe.2004.05.004 10.1016/S0305-0483(03)00059-8 10.1016/S0925-5273(98)00113-3 10.1287/mnsc.5.1.89 10.1016/j.ejor.2003.04.008 10.1016/S0360-8352(97)00327-6 |
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| Keywords | Inventory management Dynamic Lot-sizing problem Expiration date Operation research perishable items |
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| References | Ghare, Schrader (bib1) 1963; 14 Luo (bib5) 1998; 34 Karimi, Fatemi Ghomi, Wilson (bib3) 2003; 31 Robinson, Narayanan, Sahin (bib7) 2009; 37 Wagner, Whitin (bib8) 1958; 5 Wee (bib9) 1999; 59 Haksever, Moussourakis (bib2) 2005; 97 Lu, Qi (bib4) 2011; 212 Norden, Velde (bib6) 2005; 165 Wagner (10.3182/20130619-3-RU-3018.00230_bib8) 1958; 5 Haksever (10.3182/20130619-3-RU-3018.00230_bib2) 2005; 97 Norden (10.3182/20130619-3-RU-3018.00230_bib6) 2005; 165 Karimi (10.3182/20130619-3-RU-3018.00230_bib3) 2003; 31 Robinson (10.3182/20130619-3-RU-3018.00230_bib7) 2009; 37 Lu (10.3182/20130619-3-RU-3018.00230_bib4) 2011; 212 Luo (10.3182/20130619-3-RU-3018.00230_bib5) 1998; 34 Ghare (10.3182/20130619-3-RU-3018.00230_bib1) 1963; 14 Wee (10.3182/20130619-3-RU-3018.00230_bib9) 1999; 59 |
| References_xml | – volume: 165 start-page: 127 year: 2005 end-page: 138 ident: bib6 article-title: Multi-product lot-sizing with a transportation capacity reservation contract publication-title: European Journal of Operational Research – volume: 212 start-page: 74 year: 2011 end-page: 80 ident: bib4 article-title: Dynamic lot sizing for multiple products with a new joint replenishment model publication-title: European Journal of Operational Research – volume: 14 start-page: 238 year: 1963 end-page: 243 ident: bib1 article-title: A model for exponentially decaying inventories publication-title: Journal of Industrial Engineering – volume: 5 start-page: 89 year: 1958 end-page: 96 ident: bib8 article-title: Dynamic version of economic lot-size model publication-title: Management Science – volume: 97 start-page: 18 year: 2005 end-page: 30 ident: bib2 article-title: A model for optimizing multi-product inventory systems with multiple constraints publication-title: International Journal of Production Economics – volume: 37 start-page: 3 year: 2009 end-page: 15 ident: bib7 article-title: Coordinated deterministic dynamic demand lot-sizing problem: A review of models and algorithms publication-title: Omega – volume: 31 start-page: 365 year: 2003 end-page: 378 ident: bib3 article-title: The capacitated lot sizing problem: a review of models and algorithms publication-title: Omega – volume: 59 start-page: 9 year: 1999 end-page: 511 ident: bib9 article-title: Deteriorating inventory model with quantity discount, pricing and partial backordering publication-title: International Journal of Production Economics – volume: 34 start-page: 685 year: 1998 end-page: 693 ident: bib5 article-title: An Integrated Inventory System For Perishable Goods with Backordering publication-title: Computers and Industrial. Engineering – volume: 37 start-page: 3 year: 2009 ident: 10.3182/20130619-3-RU-3018.00230_bib7 article-title: Coordinated deterministic dynamic demand lot-sizing problem: A review of models and algorithms publication-title: Omega doi: 10.1016/j.omega.2006.11.004 – volume: 212 start-page: 74 year: 2011 ident: 10.3182/20130619-3-RU-3018.00230_bib4 article-title: Dynamic lot sizing for multiple products with a new joint replenishment model publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2011.01.031 – volume: 97 start-page: 18 year: 2005 ident: 10.3182/20130619-3-RU-3018.00230_bib2 article-title: A model for optimizing multi-product inventory systems with multiple constraints publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2004.05.004 – volume: 31 start-page: 365 year: 2003 ident: 10.3182/20130619-3-RU-3018.00230_bib3 article-title: The capacitated lot sizing problem: a review of models and algorithms publication-title: Omega doi: 10.1016/S0305-0483(03)00059-8 – volume: 59 start-page: 9 year: 1999 ident: 10.3182/20130619-3-RU-3018.00230_bib9 article-title: Deteriorating inventory model with quantity discount, pricing and partial backordering publication-title: International Journal of Production Economics doi: 10.1016/S0925-5273(98)00113-3 – volume: 5 start-page: 89 year: 1958 ident: 10.3182/20130619-3-RU-3018.00230_bib8 article-title: Dynamic version of economic lot-size model publication-title: Management Science doi: 10.1287/mnsc.5.1.89 – volume: 14 start-page: 238 year: 1963 ident: 10.3182/20130619-3-RU-3018.00230_bib1 article-title: A model for exponentially decaying inventories publication-title: Journal of Industrial Engineering – volume: 165 start-page: 127 year: 2005 ident: 10.3182/20130619-3-RU-3018.00230_bib6 article-title: Multi-product lot-sizing with a transportation capacity reservation contract publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2003.04.008 – volume: 34 start-page: 685 year: 1998 ident: 10.3182/20130619-3-RU-3018.00230_bib5 article-title: An Integrated Inventory System For Perishable Goods with Backordering publication-title: Computers and Industrial. Engineering doi: 10.1016/S0360-8352(97)00327-6 |
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| SubjectTerms | Dynamic Lot-sizing problem Expiration date Inventory management Operation research perishable items |
| Title | A capacitated multi-product dynamic lot-sizing problem by considering expiration dates; A new approach |
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