| 战斗对策:有约束极小极大途径(I) |
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| 引用本文： | G.Isac,郑权.战斗对策:有约束极小极大途径(I)[J].运筹学学报,2005,9(4):1-13. |
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| 作者姓名： | G.Isac 郑权 |
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| 作者单位： | 1. Department of Mathematics and Computer Science, Royal Military Colloge Kingston, Ontario, K7K 5L0, Canada
2. 上海大学数学系,上海,200444;Columbus,State,University,Columbus,GA,31907,USA |
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| 摘 要： | 本文把战斗对策归结为有约束极小极大问题，讨论解的存在性．引进不连续罚函数后，把有约束问题化为无约束极小极大问题。
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| 关 键 词： | 运筹学 战斗对策 微分对策 有约束极小极大 不连续罚函数 |
| 收稿时间： | 2005-01-13 |
| 修稿时间： | 2005年1月13日 |
On Combat Games: A Constrained Minimaximization Approach (I) |
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| G.Isac,Quan Zheng.On Combat Games: A Constrained Minimaximization Approach (I)[J].OR Transactions,2005,9(4):1-13. |
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| Authors: | GIsac Quan Zheng |
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| Institution: | G. Isac, Quan Zheng( 1.Department of Mathematics and Computer Science, Royal Military Colloge Kingston, Ontario, KTK 5L0, Canada 2.Department of Mathematics, Shanghai University, Shanghai 200444,China; |
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| Abstract: | Combat games are considered with a constrained minimaximization approach in this research work. We formulate a combat game with several constrained min-max problems and convert them to unconstrained ones by utilizing a discontinuous penalty technique. Existence of min-max solutions is examined. With the integral minimization method, we will study the solution of the problem in 22]. |
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| Keywords: | Operations research combat games differential games constrained minimaximization discontinuous penalty function |
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