基于动态博弈的目标分配方法研究

Target Allocation Method Based on Dynamic Game

以博弈论为基础,防空火力单元与攻击飞机多次对抗为作战背景,建立了基于动态博弈的防空火力单元目标分配模型。利用双矩阵博弈纳什均衡求解与数学规划的关系,建立了求解纳什均衡的二次规划,利用混合粒子群算法进行求解。仿真结果表明:用博弈论研究防空火力单元与攻击飞机多次对抗过程中的目标分配问题时,符合实际作战过程,真实性好,应用价值较高。

The model for target allocation of air defense firing unit was established based on dynamic game theory by taking multiple countermeasures of air defense firing units against attacking planes as the combat background. The quadratic programming to solve Nash equilibrium was formulated by using the relation of the Nash equilibrium solution of the hi-matrix game theory with mathematical programming. Hybrid particle swarm algorithm was adopted for solution, The simulation result shows that the study on target allocation of air defense firing unit against attacking planes based on dynamic game theory is in accordance with the actual operational process, has good factuality and is suitable for application.