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多目标供应链的Pareto最优数量弹性合同
引用本文:王军臣,谢燕,王文秋,秦志林.多目标供应链的Pareto最优数量弹性合同[J].南通工学院学报(自然科学版),2013(2):49-56.
作者姓名:王军臣  谢燕  王文秋  秦志林
作者单位:[1]南通大学理学院,江苏南通226007 [2]淮阴师范学院数学科学学院,江苏淮安223300
基金项目:教育部人文社会科学研究规划基金项目(10YJC630213)
摘    要:研究了具有多个销售商的供应链中一类数量弹性合同问题,对市场供应链进行了较为深入的分析.证明了在至少有一个销售商的商品需求量是弹性的前提下,总可以通过调节销售商商品需求量的弹性区间,使具有多个销售商的供应链数量弹性合同在期望效益目标和期望效益水平概率目标下是Pareto最优的,从而进一步加强了合同对供应链的优化.最后,应用多目标规划棱锥有效解这一工具,构造了Pareto最优数量弹性合同的销售商商品需求量决策方法,解决了多个销售商和供应商的商品供应量和订货量问题.

关 键 词:多目标规划  供应链  Pareto最优  数量弹性合同  棱锥有效解

Pareto Optimal Quantity Flexibility Contracts in Multi-objective Supply Chain
Authors:WANG Jun-chen  XIE Yan  WANG Wen-qiu  QIN Zhi-lin
Institution:1.School of Sciences,Nantong University,Nantong 226007,China;2.School of Mathematical Science,Huaiyin Normal University,Huai’an 223300,China)
Abstract:In this paper,a kind of quantity flexibility contracts was studied in the supply chain with multiple retailers;the thorough analysis of supply chain to the market was also carried on.In the case of the fact that at least one of the retailers' demands was flexible,it was proved that quantity flexibility contract in the supply chain with multiple retailers was able to be Pareto optimal with respect to two objectives,the expected profit and probability of profit target level,through the adjustment of retailers’ demands,thus strengthened the optimization of supply chain.Finally,an approach to determining the retailers’ demands meeting Pareto optimal quantity flexibility contract was constructed in application of polyhedral-cone efficient solution in multi-objective programming,to solve output and order quantity problems when there were multiple vendors and suppliers.
Keywords:multi-objective programming  supply chain  Pareto optimal  quantity flexibility contract  polyhedral-cone efficient solution
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