| 基于工件位置的排序博弈收益分配准则 |
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| 引用本文： | 周意元,张强.基于工件位置的排序博弈收益分配准则[J].北京理工大学学报,2017,37(6):602-606,612. |
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| 作者姓名： | 周意元 张强 |
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| 作者单位： | 北京理工大学管理与经济学院,北京 100081;三峡大学理学院,湖北,宜昌 443002;北京理工大学管理与经济学院,北京,100081 |
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| 基金项目： | 国家自然科学基金资助项目（71371030，71401003，71271029，71561022）；国家教育部高等学校博士学科点专项科研基金资助课题（20111101110036）；宜昌市科学技术研究与开发项目（A201230225） |
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| 摘 要： | 针对基于加权总完工时间排序问题的合作博弈，根据工件对联盟收益的贡献，给出了基于工件位置的收益分配准则，探讨了它与排序博弈的核心之间的关系，讨论了哑元性和断开不变性，提出了平均损失相等性，利用有效性和平均损失相等性对一个特殊的基于工件位置的分配进行了公理化.
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| 关 键 词： | 合作博弈 排序问题 收益分配 核心 |
| 收稿时间： | 2016/1/22 0:00:00 |
Profit Allocation Rule Based on Job Positions for Sequencing Games |
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| ZHOU Yi-yuan and ZHANG Qiang.Profit Allocation Rule Based on Job Positions for Sequencing Games[J].Journal of Beijing Institute of Technology(Natural Science Edition),2017,37(6):602-606,612. |
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| Authors: | ZHOU Yi-yuan and ZHANG Qiang |
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| Institution: | 1. School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;2. College of Science, China Three Gorges University, Yichang, Hubei 443002, China |
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| Abstract: | As for cooperative games concerning sequencing based on total weighted completion time, according to the contributions of jobs, profit allocation rule based on job positions was introduced. The core relationship between this rule and sequencing games was discussed. And the dummy property and disconnected property were also discussed. Average loss property was proposed. A special allocation, which is based on job positions, is axiomatized through efficiency and the average loss property. |
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| Keywords: | cooperative game sequencing profit allocation core |
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