运筹与管理 ›› 2013, Vol. 22 ›› Issue (2): 64-71.

• 理论分析与方法探讨 • 上一篇    下一篇

闭环供应链竞争的博弈分析与链内协调合同设计

徐兵, 杨金梅   

  1. 南昌大学 管理科学与工程系,江西 南昌 330031
  • 收稿日期:2011-07-18 出版日期:2013-04-25
  • 作者简介:徐兵(1972-),男,江西南昌人,博士,教授;研究方向:运筹学、物流与供应链管理。
  • 基金资助:
    国家自然科学基金资助项目(NSFC70961006);中国博士后基金(20100481186);中国博士后科学基金特别资助项目(2012T50593)

Game Analysis of Closed-loop Supply Chain Competition and Coordinative Contract Design Within Supply Chain

XU Bing, YANG Jin-mei   

  1. Department of Management Science and Engineering, Nanchang University, Nanchang 330031, China
  • Received:2011-07-18 Online:2013-04-25

摘要: 假定生产商委托零售商回收废旧产品以进行再制造活动,研究两条分别由单生产商和单零售商组成的闭环供应链的竞争和链内协调。对应两条闭环供应链均为分散式供应链、均为集中式供应链、一条为分散式供应链另一条为集中式供应链,运用博弈论和均衡分析方法分别建立了三种情况下刻画闭环供应链竞争的带均衡约束的均衡模型、纳什均衡模型和带均衡约束的优化模型,进行了模型求解。基于合同理论,提出供应链竞争下协调链内零售商的零售价和回收价格决策的批发价加回收补贴合同。最后的算例验证了模型的合理性和协调合同的有效性。研究表明:产品零售价、需求量与产品替代效应正相关,废旧产品供给量、供应链利润与回收价格敏感性正相关;供应链协调是供应链竞争下的占优策略,有利于提高供应链的运作效率,但两条协调供应链之间的竞争将更激烈,存在囚徒困境现象。

关键词: 闭环供应链, 供应链竞争, 供应链协调, 博弈论, 均衡分析方法

Abstract: We assume that the manufacturer entrusts the retailer to reclaim used products for remanufacturing. This paper studies the competition between two closed-loop supply chains(CLSCs)and coordination within one SC, where each SC consists of one manufacturer and one retailer. With game theory and equilibrium analysis method, an EPEC(Equilibrium Problems with Equilibrium Constrains)model, a Nash equilibrium model and a MPEC(Mathematical Programs with Equilibrium Constrains)model are set up respectively to characterize the competition between two decentralized CLSCs, two centralized CLSCs, one decentralized CLSC and one centralized CLSC. The solutions of these models are put forward. Based on contract theory, a wholesale price plus recovery subsidy contract is put forward, which can coordinate retailer's retail price and recovery price decisions under the situation of SC competition. A numerical example validates the rationality of models and the validity of the contract mentioned above. The results of study show that the retail price and demand will increase when the substitution effect of products increases; the more sensitive of consumers to recovery prices, the more recovery quantity and the profit of supply chain; SC coordination is dominative strategy under the situation of SC competition, which can improve the efficiency of supply chain operation, but the competition between two coordinative supply chains is so fierce that the phenomenon of Prisoners Trap exists.

Key words: closed-loop supply chain, supply chain competition, supply chain coordination, game theory, equilibrium analysis method

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