Joint replenishment model with fuzzy demand and cost allocation approach based on egalitarian Shapley value

被引：0

作者：

Ye Y. ^{[1
]}

Li D. ^{[2
]}

机构：

[1] School of Business Administration, Jimei University, Xiamen

[2] School of Management and Economics, University of Electronic Science and Technology of China, Chengdu

来源：

Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice | 2024年 / 44卷 / 04期

基金：

中国国家自然科学基金;

关键词：

cooperative game; cost allocation; egalitarian Shapley value; joint replenishment;

D O I：

10.12011/SETP2023-0781

中图分类号：

学科分类号：

摘要：

Joint replenishment is an effective way for retailers to save costs and increase profits since retailers can share fixed ordering costs and storage costs together. In real situations, it is difficult for retailers to predict the demands accurately due to the complexity of the market environment. Hence, the joint replenishment triangular fuzzy EOQ model without shortage is researched, where the demands of retailers are expressed with triangular fuzzy numbers. Then the cooperative game approach to allocate the corresponding joint replenishment costs is discussed. Combining with the measure method of average area of the triangular fuzzy number, we attain the joint replenishment strategy and triangular fuzzy average cost. There is not general method for solving triangular fuzzy cooperative games due to the irreversible subtraction of triangular fuzzy number. Hence, we develop an effective method to compute triangular fuzzy egalitarian Shapley values for a class of triangular fuzzy cooperative games through adding some coalition size monotonicity-like conditions, and the formula of triangular fuzzy egalitarian Shapley value is obtained. Moreover, some important properties of the triangular fuzzy egalitarian Shapley value are proven in detail. The triangular fuzzy egalitarian Shapley value is used to allocate the triangular fuzzy public costs since it balances efficiency and fairness. The validity and applicability of the proposed model and the cost allocation approach are demonstrated with a real example. © 2024 Systems Engineering Society of China. All rights reserved.

引用

页码：1229 / 1245

页数：16

共 33 条

[1]

Meca A, Timmer J, Garcia-Jurado I, Et al., Inventory games[J], European Journal of Operational Research, 156, pp. 127-139, (2004)

[2]

Olgun M O, Alparslan Gok S Z, Ozdemir G, Et al., Cooperative grey games and an application on economic order quantity model[J], Kybernetes, 45, 5, pp. 828-838, (2016)

[3]

Fiestras-Janeiro M G, Garcia-Jurado I, Meca A, Et al., Cooperation on capacitated inventory situations with fixed holding costs[J], European Journal of Operational Research, 241, pp. 719-726, (2015)

[4]

Chen X, Zhang J W., Duality approaches to economic lot-sizing games[J], Production and Operations Management, 25, 7, pp. 1203-1215, (2016)

[5]

Saavedra-Nieves A, Garcia-Jurado I, Fiestras-Janeiro M G., On coalition formation in a non-convex multi-agent inventory problem[J], Annals of Operations Research, 261, pp. 255-273, (2018)

[6]

Rao W Z, Xu F, Duan Z F., Cost allocation of joint replenishment and delivery[J], Computer Integrated Manufacturing Systems, 27, 7, pp. 2144-2155, (2021)

[7]

Shi X F, Wang H Y., Research on product selection and joint replenishment decision based on inventory capacity limitation[J], Journal of Systems Engineering, 36, 2, pp. 264-278, (2021)

[8]

Fiestras-Janeiro M G, Garcia-Jurado I, Meca A, Et al., A new cost allocation rule for inventory transportation systems[J], Operations Research Letters, 41, pp. 449-453, (2013)

[9]

Rao W Z, Miao X H, Zhu Q H, Et al., Research on collaborative distribution problems and cost allocation methods considering differences in service quality of logistics enterprises[J], Systems Engineering — Theory & Practice, 42, 10, pp. 2721-2739, (2022)

[10]

Kong X Y, Liu S Q, Shen X B, Et al., The optimal joint incentive contract designs and inventory decisions with an overconfident agent[J], Systems Engineering — Theory & Practice, 42, 1, pp. 123-137, (2022)

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