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  

Study on Group Air to Ground Attack-defends Campaign Based on Bilevel-Game Strategy

作　　者：张莉[1] 张菁[2] 张安[3] 

机构地区：[1]西安工程大学电子信息学院 [2]中国人民解放军93942部队 [3]西北工业大学电子信息学院

出　　处：《数学的实践与认识》2009年第1期1-7,共7页Mathematics in Practice and Theory

基　　金：高等学校博士学科点专项科研基金资助项目(20020699009)

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.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.

关 键 词：Stackeberg—Nash决策 两层决策 攻防对抗 

分 类 号：O225[理学—运筹学与控制论] TJ761.3[理学—数学]