| 具有学习效应的排序对策 |
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| 引用本文： | 周意元,张强,王利明,陈纲. 具有学习效应的排序对策[J]. 运筹与管理, 2018, 27(1): 49-52. DOI: 10.12005/orms.2018.0008 |
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| 作者姓名： | 周意元 张强 王利明 陈纲 |
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| 作者单位： | 1.三峡大学 理学院,湖北 宜昌 443002; 2.北京理工大学 管理与经济学院,北京 100081; 3.内蒙古财经大学 统计与数学学院,内蒙古 呼和浩特 010070; 4.宁夏大学 数学统计学院,宁夏 银川 750021 |
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| 基金项目： | 国家自然科学基金资助项目(71371030,71401003,71271029,71561022);高等学校博士学科点专项科研基金资助项目(20111101110036);宜昌市科学技术研究开发项目(A201230225) |
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| 摘 要： | 建立了具有学习效应的排序对策模型,在这类排序对策中,工件的实际加工时间不再是常数,而是关于工件位置的递减幂函数。当所有工件的正常加工时间相等时,松弛可行顺序的条件,相应的排序对策是均衡的,但不一定是凸对策。
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| 关 键 词： | 合作对策 学习效应 排序问题 均衡对策 |
| 收稿时间： | 2015-01-16 |
Sequencing Games with Learning Effects |
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| ZHOU Yi-yuan,WANG Li-ming,WANG Li-ming,CHEN Gang. Sequencing Games with Learning Effects[J]. Operations Research and Management Science, 2018, 27(1): 49-52. DOI: 10.12005/orms.2018.0008 |
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| Authors: | ZHOU Yi-yuan WANG Li-ming WANG Li-ming CHEN Gang |
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| Affiliation: | 1.College of Science, China Three Gorges University, Yichang 443002, China; 2.School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China; 3.School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China; 4.School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China |
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| Abstract: | Sequencing games with learning effects are introduced. The actual processing time of a job is not a constant, but is a decreasing power function with respect to the position of this job. If the normal processing time of all jobs is identical, the admissible order of a coalition is relaxed, and the corresponding sequencing game with learning effects is balanced. An example illustrates that it need not be convex. |
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| Keywords: | cooperative game learning effect sequencing situation balanced game |
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