运筹与管理 ›› 2015, Vol. 24 ›› Issue (1): 57-66.DOI: 10.12005/orms.2015.0008

• 理论分析与方法探讨 • 上一篇    下一篇

由零售商负责回收的多期闭环供应链网络均衡

张桂涛, 胡劲松, 孙浩, 戴更新   

  1. 青岛大学 管理科学与工程学院,山东 青岛 266071
  • 收稿日期:2013-05-09 出版日期:2015-02-12
  • 作者简介:张桂涛(1975-),男,山东人,博士生,讲师,研究方向:决策分析、物流与供应链管理。
  • 基金资助:
    国家自然科学基金(71371102,71202142);山东省自然科学基金(ZR2012GM002);国际(地区)合作与交流资助项目(71311120090)

Multi-period Closed-loop Supply Chain Network Equilibrium with Retailer Collection

ZHANG Gui-tao, HU Jin-song, SUN Hao, Dai Geng-xin   

  1. School of Management Science and Engineering, Qingdao University, Qingdao 266071, China
  • Received:2013-05-09 Online:2015-02-12

摘要: 本文研究了零售商回收模式下多期闭环供应链网络均衡问题。制造商通过零售渠道将产品销售给消费者,以满足消费市场需求,同时消费产生的废旧品由零售商回收返回制造商处进行再制造,通过产品库存和回收废旧品连接相邻规划期。运用变分不等式理论和互补理论,分别刻画了制造市场、零售市场和消费市场的均衡,接着构建了多期闭环供应链网络均衡模型。利用变分不等式的投影收缩算法,对模型进行求解。算例着重分析了废旧品利用率对网络均衡状态和供应链成员利润的影响。结果表明:当制造商的废旧品利用率逐渐增加时,回收量逐渐增加,制造商的利润先减后增,零售商利润一直增加,而供应链总利润一直增加,供应链网络中的最优决策变量主要受到回收量约束的影响。

关键词: 供应链管理, 网络均衡, 多期, 零售商回收, 变分不等式

Abstract: In this paper, we study a multi-period closed-loop supply chain network equilibrium problem with the used products collected by retailers. Manufacturers sell the products to the consumers to meet the consumer market demand through retailers who are the collection activity undertakers of used products from consumer markets for the manufacturers remanufacturing. The adjacent planning periods are connected through products inventory and recycled used products. Using the theories of variational inequality and complementarity as a tool, we depict the equilibrium of manufacturing market, retail market and demand market respectively, and then we establish the closed-loop supply chain network equilibrium model. We employ the projection and contraction algorithm to solve the model presented. Taking a numerical example we analyze the influence of usable rate of used materials on network equilibrium states and the profit of supply chain members. When the usable rate of manufacturers increases gradually, the transaction amount of collected used products gradually increases, and the manufacturer’s profit first decreases and then increases, whereas retailer’s profit increases all along, and the total profit of supply chain increases all the time, the optimal decision variables is mainly affected by the collected amount constraint in the supply chain network.

Key words: supply chain management, network equilibrium, multi-period, retailer collection, variational inequality

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