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基于两层对策系统的编队协同对地攻防对抗决策分析研究
引用本文:张莉,张菁,张安.基于两层对策系统的编队协同对地攻防对抗决策分析研究[J].数学的实践与认识,2009,39(1).
作者姓名:张莉  张菁  张安
作者单位:1. 西安工程大学,电子信息学院,陕西,西安,710048
2. 中国人民解放军93942部队,陕西,咸阳,712000
3. 西北工业大学,电子信息学院,陕西,西安,710072
基金项目:高等学校博士学科点专项科研基金 
摘    要:基于学者Cruz建立的军事对抗的动态、离散的状态空间模型,在两层Stackelber-Nash决策方法的基础上,针对编队协同对地攻击的攻防对抗系统的强对抗性、多目标性和多层次性,建立了两层对策系统——Nash-Stackelberg-Nash决策模型,着重解决军事对抗中的多层次对抗决策问题.将该决策方法应用于Cruz建立的基本战场想定,并将单决策层的Nash对抗决策与两层对策系统的Nash-Stackelberg-Nash决策方法进行了对比,仿真结果表明该决策方法相对单层Nash对抗决策有明显改进,并为作战对抗提供了有力的战场分析依据.

关 键 词:Stackeberg-Nash决策  两层决策  攻防对抗

Study on Group Air to Ground Attack-defends Campaign Based on Bilevel-Game Strategy
ZHANG Li,ZHANG Qing,ZHANG An.Study on Group Air to Ground Attack-defends Campaign Based on Bilevel-Game Strategy[J].Mathematics in Practice and Theory,2009,39(1).
Authors:ZHANG Li  ZHANG Qing  ZHANG An
Abstract:Based on the scholar Cruz′s military oppositional state vector model which is dynamic and discrete,and on the bases of bilevel decision-making way Stackelberg-Nash,according to opposability,multi-objectivity of Group Air to Ground Attack-defends Campaign,establish a Nash-Stackelberg-Nash model,to solve the problems of multi-level antagonize decision-making in military operation.Using this way to solve Cruz′s supposing military operation,and compare it′s result to one-level Nash way,the simulation shows that Nash-Stackelberg-Nash way has an improvement obviously,and it offers a good analysis basis of the opposed situation impersonality.
Keywords:Stackelberg-Nash Strategy  bilevel decision-making  Attack-defends  
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