基于再制造的多周期闭环供应链网络均衡模型

运筹与管理 ›› 2014, Vol. 23 ›› Issue (4): 25-32.

基于再制造的多周期闭环供应链网络均衡模型

孙嘉轶¹, 滕春贤¹, 陈兆波²

1.哈尔滨理工大学系统工程研究所,黑龙江哈尔滨 150080;
2.太原科技大学经济与管理学院,山西太原 030024

收稿日期:2012-10-08 出版日期:2014-04-25
作者简介:孙嘉轶(1984-),女,黑龙江七台河人,博士生,研究方向:优化理论与闭环供应链管理;滕春贤(1947-),男,山东莱州人,教授,博士生导师,研究方向:系统分析与优化,供应链管理;陈兆波(1983-),男,四川冕宁人,博士,讲师,研究方向:优化理论,供应链管理。
基金资助:
国家自然科学基金资助项目(70871031,71171069);黑龙江省研究生创新科研项目资金(YJXCX2011-019HLJ)

Multi-period Closed-loop Supply Chain Network Equilibrium Model with Product Remanufacturing

SUN Jia-yi¹, TENG Chun-xian¹, CHEN Zhao-bo²

1. Institute of System Engineering, Harbin University of Science and Technology, Harbin 150080, China;
2. College of Economy and Management, Taiyuan University of Science and Technology, Taiyuan 030024, China

Received:2012-10-08 Online:2014-04-25

摘要/Abstract

摘要： 针对单周期模型在刻画废旧产品回收和再制造过程中的局限性,以多周期的再制造闭环供应链网络为研究对象,利用均衡理论和变分不等式的方法构建了基于再制造的多周期闭环供应链网络均衡模型,得到了制造商和零售商及整个供应链网络的均衡条件及其经济解释,并分析了均衡解的唯一性条件。针对所建立的模型,利用Euler算法进行了算例分析,说明了潜在市场份额对供应链成员决策的影响。

关键词: 闭环供应链管理, 均衡模型, 变分不等式, 多周期, 闭环供应链网络

Abstract: In order to overcome the limitations of a single-period model in depicting the process of recovering and remanufacturing, a multi-period closed-loop supply chain network consisting of manufacturers and retailers is considered. Subsequently, we establish equilibrium conditions of manufacturers, retailers and the whole supply chain network by using variational inequality and the equilibrium theory. Then their economic explanations are presented. Furthermore, the unique condition of the equilibrium solution is proved. Finally, the results obtained through a numerical exemplification by Euler algorithm indicate the effect of market size to the strategic decisions.

Key words: closed-loop supply chain management, equilibrium model, variational inequality, multi-period, closed-loop supply chain network

中图分类号:

F224.3

孙嘉轶, 滕春贤, 陈兆波. 基于再制造的多周期闭环供应链网络均衡模型[J]. 运筹与管理, 2014, 23(4): 25-32.

SUN Jia-yi, TENG Chun-xian, CHEN Zhao-bo. Multi-period Closed-loop Supply Chain Network Equilibrium Model with Product Remanufacturing[J]. Operations Research and Management Science, 2014, 23(4): 25-32.

参考文献

[1] Webster S, Mitra S. Competitive strategy in remanufacturing and the impact of take-back laws[J]. Journal of Operations Management, 2007, 25(6): 1123-1140.
[2] Giutinia R, Gaudetteb K. Remanufacturing: the next great opportunity for boosting US productivity[J]. Business Horizons, 2003, 46(6): 41-48.
[3] Stock J R. Reverse logistics[M]. Oak Brook Illinois, IL: Council of Logistics Management, 1992: 1-10.
[4] Al-Anzi F S, Allahverdi A, Kovalyovslat M Y. Batching deteriorating items with applications in computer communication and reverse logistics[J]. European Journal of Operational Research, 2007, 182(3): 1002-1011.
[5] Savaskan R C, Bhattacharya S, Wassenhove L V. Closed-loop supply chain models with product remanufacturing[J]. Management Science, 2004, 50(2): 239-253.
[6] Savaskan R C, Wassenhove L V. Reverse channel design: the case of competing retailers[J]. Management Science, 2006, 52(5): 1-14.
[7] Debo L, Toktay B, Wassenhove L V. Market segmentation and production technology selection for remanufacturable products[J]. Management Science, 2005, 51(8): 1193-1205.
[8] 葛静燕,黄培清.基于博弈论的闭环供应链定价策略分析[J].系统工程学报,2008,23(1):111-115.
[9] 王文宾,达庆利.零售商与第三方回收下闭环供应链回收与定价研究[J].管理工程学报,2010,24(2): 130-133.
[10] Mitra S, Webster S. Competition in remanufacturing and the effects of government subsidies[J]. International Journal of Production Economics, 2008, 111(2): 287-298.
[11] Jung K S, Hwang H. Competition and cooperation in a remanufacturing system with take-back requirement[J]. Journal of Intelligent Manufacturing, 2011, 22(3): 427-433.
[12] Nagurney A, Dong J, Zhang D. A supply chain network equilibrium model[J]. Transportation Research Part E, 2002, 38(5): 281-303.
[13] Dong J, Zhang D, Nagurney A. A supply chain network equilibrium model with random demands[J]. European Journal of Operational Research, 2004, 156(1): 194-214.
[14] Fleischmann M, Beullens P. The impact of recovery on logistics network design[J]. Production and Operations Management, 2001, 10(2): 156-173.
[15] David H, Patrick B. Closed-loop supply chain network equilibrium under legislation[J]. European Journal of Operational Research, 2007, 183(2): 895-908.
[16] Wojanowski R, Verter V, Boyaci T. Retail-collection network design under deposit-refund[J]. Computers & Operations Research, 2007, 34 (2): 324-345.
[17] 刘诚,李伟,瞿攀.随机需求条件下闭环供应链网络均衡[J].系统工程,2008,26(8):11-16.
[18] 王文宾,达庆利,胡天兵,杨广芬.基于惩罚与补贴的再制造闭环供应链网络均衡模型[J].运筹与管理,2010, 19(1): 65-72.
[19] 袁亚湘.非线性规划数值方法[M].上海:上海科学技术出版社,1993.77-110.
[20] Nagurney A, Zhang D. Projected dynamical systems and variational inequalities with applications[M]. Boston: Kluwer Academia Publishers, 1996.