模糊需求下n级供应链的收益共享契约机制研究

中国管理科学 ›› 2013, Vol. 21 ›› Issue (3): 127-136.

模糊需求下n级供应链的收益共享契约机制研究

桑圣举¹, 张强²

1. 菏泽学院经济系, 山东菏泽 274015;
2. 北京理工大学管理与经济学院, 北京 100081

收稿日期:2011-04-18 修回日期:2012-08-28 出版日期:2013-06-30 发布日期:2013-06-20
基金资助:
国家自然科学基金资助项目(70771010,71071018); 菏泽学院博士基金项目(XY12BS03)

Revenue Sharing Contract Forn-echelon Supply Chains with Fuzzy Demand

SANG Sheng-ju¹, ZHANG Qiang²

1. Department of Economics, Heze University, Heze 274015, China;
2. School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China

Received:2011-04-18 Revised:2012-08-28 Online:2013-06-30 Published:2013-06-20

摘要/Abstract

摘要： 在模糊需求环境下,研究n级供应链系统的收益共享契约机制。将市场需求视为模糊变量,通过模糊截集理论建立了模糊需求下n级供应链的分散决策模型、集中决策模型以及收益共享契约机制模型,并给出了各模型中的最优策略。研究结果表明:零售商的产品最优订购量处于模糊需求中心点的左侧还是右侧,取决于产品零售价格和单位产品成本,并且随着零售价格的增加而提高;单位产品批发价格并不随着零售价格的变化而改变;供应链各成员的最优模糊期望利润随着零售价格的增加而增加。最后通过数值算例对模型进行了分析。

关键词: 供应链, 收益共享, 模糊需求, 三角模糊数

Abstract: The revenue sharing contract mechanism for n-echelon supply chains in fuzzy demand environment is researched is this paper. The models of decentralized decision, centralized decision and revenue sharing contract are built by the method of fuzzy cut sets theory, and their optimal policies are also proposed. It is shown that the optimal order quantity of retailer locatihg in left or right side of the center of the fuzzy demand, is affected with the changing of the retail price and the unit cost.The optimal order quantity also and increases with the raise of the retail price. The wholesale price does not vary with the changing of the retail price. The optimal fuzzy expected profits for the actors in supply chain increase with increasing of the retail price.Finally, a numerical is given to illustrate and validate the models and conclusions.

Key words: supply chain, revenue sharing, fuzzy demand, triangular fuzzy number

中图分类号:

F274
C931

桑圣举, 张强. 模糊需求下n级供应链的收益共享契约机制研究[J]. 中国管理科学, 2013, 21(3): 127-136.

SANG Sheng-ju, ZHANG Qiang. Revenue Sharing Contract Forn-echelon Supply Chains with Fuzzy Demand[J]. Chinese Journal of Management Science, 2013, 21(3): 127-136.

参考文献

[1] Hsieh C H. Optimization of fuzzy production inventory Models [J].Information Sciences, 2002, 146(1): 29-40.
[2] Chang H C. An application of fuzzy sets theory to the EOQ model with imperfect quality items [J]. Computers and Operations research, 2004, 31(12): 2079-2092.
[3] Tan Manyi, Tang Xiaowo. The further study of safety stock under uncertain environment [J]. Fuzzy Optimization Decision Making, 2006, 5(2):193-202.
[4] Maiti M K, Maiti M. Fuzzy inventory model with two warehouses under possibility constraints [J]. Fuzzy Sets and Systems, 2006, 157(1): 52-73.
[5] Vijayan T, Kumaran M. Inventory models with a mixture of backorders and lost sales under fuzzy costs [J]. European Journal of Operation Research, 2008, 189 (1): 105-119.
[6] 张群,李群霞,谷炜,等. 考虑缺陷率和缺货的模糊库存模型[J].系统工程理论与实践, 2008, 28(11): 62-68.
[7] 刘强, 徐玖平. 易逝性电子产品随机模糊库存决策模型及其应用[J].系统工程与电子技术, 2010, 32(1): 82-85.
[8] Kao C, Hsu W K.A single-period inventory model with fuzzy demand [J]. An International Journal Computers and Mathematics with Applications, 2002, 43(6-7):841-848.
[9] Dutta P, Chakraborty D, Roy A R. A single-period inventory model with fuzzy random bariable demand [J]. Mathematical and Computer Modeling, 2005, 41(8-9): 915-922.
[10] Shao Zhen, Ji Xiaoyu. Fuzzy multi-product constraint newsboy problem [J]. Applied Mathematics and Computation, 2006, 180(1): 7-15.
[11] Chang H C, Yao Jingsun, Ouyang L Y. Fuzzy mixture inventory model involving fuzzy random variable lead time and fuzzy total demand [J]. European Journal of Operation Research, 2006, 169(1): 65-80.
[12] Gao Jinwu, Feng Xueqin. A hybrid intelligent algorithm for fuzzy dynamic inventory system[J]. Journal of Information and Computing Sciences, 2006, 1(4): 235-244.
[13] Liu Yonggang, Xu Jinping. A class of bifuzzy model and its application to single-period inventory problem[J]. World Journal of Modeling and Simulation, 2006, 2(2): 109-118.
[14] Zhang Gangquan, Lu Jie, Dillon T. Decentralized Multi-objective Bilevel Decision Making with Fuzzy Demands [J]. Knowledge-Based Systems, 2007, 20(5): 495-507.
[15] Xu Ruoning, Zhai Xiaoyan. Optimal models for single-period supply chain problems with fuzzy demand [J]. Information Sciences, 2008, 178(17): 3374-3381.
[16] 胡劲松, 阎伟. 资金约束模糊报童问题Stackelberg均衡策略[J].系统工程学报,2008, 23(6): 696-701.
[17] 胡劲松, 阎伟.负指数折扣模糊报童问题Stackelberg均衡策略[J].计算机集成制造系统,2009, 15(6):1243-1248.
[18] 桑圣举, 张强, 武建章. 模糊需求环境下供应链成员间的协调机制分析[J].计算机集成制造系统, 2010, 16(2): 356-364.
[19] Alex R. Fuzzy point estimation and its application on fuzzy supply chain analysis [J]. Fuzzy Sets and Systems, 2007, 158(14): 1571-1587.
[20] 张群,颜端. 基于改进模糊遗传算法的混合车辆路径问题[J].中国管理科学,2012, 20(2):121-128.
[21] Peidro D, Mula J, Poler R, et al. Fuzzy optimization for supply chain planning under supply, demand and process uncertainties [J]. Fuzzy Sets and Systems, 2009, 160(18): 2640-2657.
[22] Bilgen B. Application of fuzzy mathematical programming approach to the production allocation and distribution supply chain network problem [J]. Expert Systems with Applications, 2010, 37(6):4488-4495.
[23] Xu Jiuping, Liu Qiang, Wang Rui. A class of multi-objective supply chain networks optimal model under random fuzzy environment and its application to the industry of Chinese liquor [J]. Information Sciences, 2008, 178(8): 2022-2043.
[24] Xu Jiuping, He Yanan, Gen M. A class of random fuzzy programming and its application to supply chain design [J]. Computers and Industrial Engineering, 2009, 56(3): 937-950.
[25] Mula J, Peidro D, Poler R. The effectiveness of a fuzzy mathematical programming approach for supply chain production planning with fuzzy demand [J]. International Journal of Production Economics, 2010, 128(1): 136-143.