基于合作博弈的易腐品联合采购策略分析
doi: 10.3969/j.issn.0258-2724.2012.06.022
Joint Purchasing Policy for Perishable Products Based on Cooperative Game Theory
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摘要: 为了降低采购成本、保持持久的竞争能力,企业采取了联合采购策略.针对易腐品的特点,建立了多销售商联合采购的成本分摊模型,利用合作博弈理论,将联合采购的成本分摊问题转换为费用分摊博弈问题.通过对销售商联合采购行为的研究,证明了该博弈为凹博弈,且存在最优的联合订货策略. 研究发现:联合采购降低了单位时间内各销售商的固定订货成本及总成本,并且联合采购降低成本的优势随着产品损耗率的增大而更加显著.此外,当考虑协调成本时,若固定订货成本与库存成本、产品购买成本之和的比值递减,则该类博弈满足次加性并且核心非空.Abstract: In order to reduce purchasing cost, and maintain long competitiveness, enterprises often adopt joint purchasing policy. A cost allocation model for retailers' joint purchasing perishable items was established based on the characteristics of perishable products. In this model, the cost allocation problem of jointly purchasing perishable products among retailers was converted into a cost allocation game based on the cooperation game theory. Analysis of retailer's behaviors proves that the cost allocation game is concave, and there exists an optimal joint purchasing policy. The results show that joint purchasing saves the fixed ordering cost and the total cost per unit time for every retailer, and the cost saving increases with the decay rate. In addition, when considering the coordination cost, if the ratio of the fixed ordering cost to the sum of inventory cost and purchasing cost is decreasing, the corresponding cost allocation game satisfies subadditivity and has nonempty core.
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Key words:
- perishable products /
- economic order quantity model /
- joint purchasing /
- cooperative game
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GOYAL S K, GIRI B C. Recent trends in modeling of deteriorating inventory[J]. European Journal of Operational Research, 2001, 134(1): 1-16. 龚树生,梁怀兰. 生鲜食品的冷链物流网络研究[J]. 中国流通经济,2006,20(2): 7-9. GONG Shusheng, LIANG Huailan. On the logistics network modes of fresh food cold chain[J]. China Business and Market, 2006, 20(2): 7-9. 胡定寰."农超对接"怎样做?[M]. 北京:中国农业科学技术出版社,2010: 99. 贺政纲. 采购联盟若干问题研究. 成都:西南交通大学,2006. ELLRAM L M, CARR A. Strategic purchasing: a history and review of the literature[J]. Journal of Supply Chain Management, 1994, 30(2): 10-18. HENDRICK T E. Purchasing consortiums: horizontal alliances among firms buying common goods and services: what? who? why? how? . Tempe: Center for Advanced Purchasing Studies, 1997. JOHNNSON P F. The pattern of evolution in public sector purchasing consortia[J]. International Journal of Logistics Research and Applications, 1999, 2(1): 57-73. ESSIG M. Purchasing consortia as symbiotic relationships: developing the concept of "consortium soucring"[J]. European Journal of Purchasing & Supply Management, 2000, 6(1): 13-22. NOLLET J, BEAULIEU M. Should an organization join a purchasing group[J]. Journal of Supply Chain Management, 2005, 10(1): 11-17. CURIEL I. Cooperative game theory and applications[M]. London: Kluwer Academic Publishers, 1997: 1-16. MECA A, TIMMER J, GARCIA-JURADO I, et al. Inventory games[J]. European Journal of Operational Research, 2004, 156(1): 127-139. GUARDIOLA L A, MECA A, PUERTO J. Production-inventory games: a new class of totally balanced combinatorial optimization games[J]. Games and Economic Behavior, 2009, 65(2): 205-219. MVLLER A, SCARSINI M, SHAKED M. The newsvendor game has a nonempty core[J]. Games and Economic Behavior, 2002, 38(1): 118-126. 李波,杨灿军,陈鹰. 基于合作对策的行业联合采购 费用分摊研究[J]. 系统工程理论与实践,2003, 23(11): 65-70. LI Bo, YANG Canjun, CHEN Ying. Industry joint purchasing cost allocation based on n-person cooperation[J]. Systems Engineering: Theory and Practice, 2003, 23(11): 65-70. 鲍新中,刘澄,张建斌. 基于EOQ的集成供应成本分摊问题研究[J]. 中国管理科学,2009,17(1): 101-106. BAO Xinzhong, LIU Chen, ZHANG Jianbin. Study on cost allocation of integrated supply based on EOQ model[J]. Chinese Journal of Management Science, 2009, 17(1): 101-106. GHARE P M, SCHRADER G F. A model for an exponentially decaying inventory[J]. Journal of Industrial Engineering, 1963, 14(1): 238-243. COVERT R P, PHILIPA G C. An EOQ model for items with Weibull distribution deterioration[J]. AIIE Transactions, 1973, 5(4): 323-326. ANDIJANI A, AL-DAJANI M. Analysis of deteriorating inventory production systems using a linear quadratic regulator[J]. European journal of Operational Research, 1998, 106(1): 82-89. CHEN J M. An inventory model for deteriorating items with time-proportional demand and shortages under inflation and time discounting[J]. International Journal of Production Economics, 1998, 55(1): 21-30. CHANG C T. An EOQ model with deteriorating items under inflation when supplier credits linked to order quantity[J]. International Journal of Production Economics, 2004, 88(3): 307-316. 陈义安,陈六新. 需求替代下易腐品的订货策略和定价策略研究[J]. 数学的实践与认识,2010,40(10): 46-52. CHEN Yi'an, CHEN Liuxin. Pricing and inventory control for deteriorating products with demand substitution[J]. Mathematics in Practice and Theory, 2010, 40(10): 46-52. SHAPLEY L S. On balanced sets and cores[J]. Naval Research Logistics Quart, 1967, 14(4): 453-460. 钟德强,罗定提,仲伟俊. 数量折扣与联合采购战略价值分析[J]. 系统工程, 2004, 22(8): 33-38. ZHONG Deqiang, LUO Dingti, ZHONG Weijun. A study of quantity discount and combine order[J]. Systems Engineering, 2004, 22(8): 33-38. ZHANG J. Cost allocation for joint replenishment models[J]. Operations Research, 2008, 57(1): 146-156.
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