| 基于合作博弈的易腐性产品运输设施选择的费用分配 |
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| 引用本文： | 李军,蔡小强.基于合作博弈的易腐性产品运输设施选择的费用分配[J].中国管理科学,2007,15(4):51-58. |
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| 作者姓名： | 李军 蔡小强 |
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| 作者单位： | 1. 西南交通大学经济管理学院, 成都 610031;
2. 香港中文大学系统工程与工程管理系, 香港 |
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| 基金项目： | 国家自然科学基金;教育部跨世纪优秀人才培养计划;国家社会科学基金;四川省哲学社会科学规划项目 |
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| 摘 要： | 易腐性产品的价值会随着时间而损失,运输易腐性产品时,客户除了支付运输费用外还需要承担产品的价值损失。本文把易腐性产品的价值损失和运输费用之和作为总费用,应用合作博弈理论,把易腐性产品的运输设施选择的费用分配问题构造成费用分配博弈,证明了在易腐性产品线性价值损失的情况下,运输设施选择博弈的核心非空,且为子模博弈,并讨论核仁、夏普利值、τ-值等解。论文最后讨论了有约束运输的设施选择的费用分配博弈的解的情况,说明其核心也许为空,并提出了进一步研究的方向。
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| 关 键 词： | 易腐性产品 运输设施 费用分配博弈 子模博弈 |
| 文章编号： | 1003-207(2007)04-0051-08 |
| 收稿时间： | 2006-8-14 |
| 修稿时间： | 2006年8月14日 |
Cost Allocation for Transportation Facility Choice of Perishable Products Based on Cooperative Game |
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| LI Jun,CAI Xiao-qiang.Cost Allocation for Transportation Facility Choice of Perishable Products Based on Cooperative Game[J].Chinese Journal of Management Science,2007,15(4):51-58. |
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| Authors: | LI Jun CAI Xiao-qiang |
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| Institution: | 1. School of Economics and Management, Southwest Jiaotong University, Chengdu 610031, China;
2. Department of System Engineering and Engineering Management, The Chinese University of Hong Kong, Hong Kong |
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| Abstract: | The value of perishable products decaying when are transpor ted1.In this paper,the transport ation cost and decay value are considered,the costal location problem of perishable products is formulated as the cost allocation game for choosing transportation facility.It is proved that the cost allocation game has a non2empty core and also submodular at case of linear decay function.Some solutions as nucleolus,Shapley value,S-value are discussed.Lastly the cost allocation game with const raints is discussed,in which the core may be empty.Further research areas are presented. |
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| Keywords: | perishable products transportation facility cost allocation game submodular game |
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