Journal of Systems Engineering and Electronics ›› 2011, Vol. 33 ›› Issue (10): 2239-2243.doi: 10.3969/j.issn.1001-506X.2011.10.19

• 系统工程 • 上一篇    下一篇

基于Nash均衡的地空导弹兵混编群火力运用策略

马飞1,2, 曹泽阳1, 韩勃3, 徐琪博1   

  1. 1. 空军工程大学导弹学院, 陕西 三原 713800; 
    2. 防空兵指挥学院, 河南 郑州 450000;
    3. 中国人民解放军93942部队, 陕西 咸阳 712000
  • 出版日期:2011-10-15 发布日期:2010-01-03

Applying fire strategies of ground-to-air missile composite  groups based on Nash equilibrium

MA Fei1,2, CAO Ze-yang1, HAN Bo3, XU Qi-bo1   

  1. 1. Missile Institute, Air Force Engineering University, Sanyuan 713800, China; 
    2. Air Defense Forces Command College, Zhengzhou 450000, China; 
    3. Unit 93942 of PLA, Xianyang 712000, China
  • Online:2011-10-15 Published:2010-01-03

摘要:

建立了地空导弹兵混编群作战模型。该模型是一个离散、带有战斗力损耗的战斗状态向量空间模型。在混编群作战模型的基础上,给出地空导弹兵混编群火力运用目标函数,明确地空导弹兵混编群最优火力运用策略是混编群内各火力单位的最优射击策略组合,称为混编群火力运用的Nash均衡策略。针对求解地空导弹兵混编群火力运用问题的特点,改进了免疫粒子群算法,并验证了算法正确性。通过仿真得到地空导弹兵混编群火力运用策略,并给出战术解释。

Abstract:

The model which is a discrete and attrited vector space one with a state of war for the ground-to-air missile (GAM) composite group is established. An objective function of GAM composite groups is given based on the model, and one definition is defined, it is that the optimization strategy of the GAM composite group called applying fire strategy of Nash equilibrium is composed of strategies of fire units  within the GAM composite group. Furthermore, aiming at solving the problem of applying fire of GAM composite groups, an improved immune particle swarm optimization algorithm is proposed, and the accuracy of the algorithm is improved. Finally, according to the simulation analysis, the applying fire strategy of the GAM composite group is obtained with its tactical explanation.