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战斗对策:有约束极小极大途径(Ⅱ)
引用本文:G. Isac,郑权.战斗对策:有约束极小极大途径(Ⅱ)[J].运筹学学报,2006,10(1):1-20.
作者姓名:G. Isac  郑权
作者单位:Department of Mathematics and Computer Science Royal Military Colloge Kingston Ontario K7K 5L0 Canada,Department of Mathematics Shanghai University and Columbus State University Columbus GA 31907,USA
摘    要:本文提出几个用集合,测度和积分工具来的极小极大判别准则,用来解有约束极小极大问题.

关 键 词:战斗对策  有约束极小极大  不连续罚函数  无限维空间中的测度
收稿时间:2005-01-13
修稿时间:2005-01-13

On Combat Games: A Constrained Minimaximization Approach (Ⅱ)
G. Isac,Zheng Quan.On Combat Games: A Constrained Minimaximization Approach (Ⅱ)[J].OR Transactions,2006,10(1):1-20.
Authors:G Isac  Zheng Quan
Abstract:With the integral minimization method, we propose finite cover methods to approximate min-max solutions of a combat game. We then generalize the idea of the integral minimization to solve a constrained min-max problem by an integral algorithm. To prove the well definition and convergence of the proposed algorithm, we develope several min-max criteria which are described in terms of set, measure and integral forms.
Keywords:Combat games  constrained minimaximization  discontinuous penalty function  measure in an infinite-dimensional space  
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