张毅, 姜青山, 陈国生. 基于模糊-灰色非合作Nash博弈的多组动态武器-目标分配方法[J]. 云南大学学报(自然科学版), 2012, 34(1): 26-32,38.
引用本文: 张毅, 姜青山, 陈国生. 基于模糊-灰色非合作Nash博弈的多组动态武器-目标分配方法[J]. 云南大学学报(自然科学版), 2012, 34(1): 26-32,38.
ZHANG Yi, JIANG Qing-shan, CHEN Guo-sheng. An approach of basing-on fuzzy-grey noncooperative Nash games to multi-team dynamic weapon-target assignment[J]. Journal of Yunnan University: Natural Sciences Edition, 2012, 34(1): 26-32,38.
Citation: ZHANG Yi, JIANG Qing-shan, CHEN Guo-sheng. An approach of basing-on fuzzy-grey noncooperative Nash games to multi-team dynamic weapon-target assignment[J]. Journal of Yunnan University: Natural Sciences Edition, 2012, 34(1): 26-32,38.

基于模糊-灰色非合作Nash博弈的多组动态武器-目标分配方法

An approach of basing-on fuzzy-grey noncooperative Nash games to multi-team dynamic weapon-target assignment

  • 摘要: 针对武器-目标分配(weapon-target assignment,WTA)中的不确定性因素,研究了一类对抗性质的多组动态WTA(multi-team dynamic WTA,MT-DWTA)问题.首先,构建了对抗性质的MT-DWTA模型;其次,引入距离折算因子、模糊-灰色的目标相对价值和组Nash策略对的概念,构建了模糊-灰色非合作Nash博弈的MT-DWTA模型;然后,把该模型转化为二次规划模型;最后,设计一种循环多次交换启发式遗传-蚁群优化算法,仿真结果表明新算法能够在较短时间内求解较大规模的MT-DWTA的优化问题.

     

    Abstract: Aiming at the uncertainties in weapon-target assignment(WTA),a kind of oppositive multi-team dynamic WTA(MT-DWTA) problem is studied.Firstly,the oppositive MT-DWTA model is built.Secondly,with distance discount factor(DDF) and fuzzy-grey target relative value and team Nash pair of strategies,a model of MT-DWTA is formed basing on fuzzy-grey noncooperative Nash games.And then the MT-DWTA model is transformed into quadratic programming problem.Finally,a kind of genetic algorithm(GA) and ant colony optimization(ACO) with cyclic multiexchange(CME) heuristic algorithm is designed to solve a more large-scale MT-DWTA problem,and the simulation result shows that new algorithm can solve it in a short time.

     

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