基于序贯对策的舰艇编队多阶段火力分配

Warship Formation Multi-stage Firepower-assignment Based on Sequential Game

舰艇编队火力分配是海上作战中的重要问题。针对舰艇编队火力分配的动态对抗性,将舰艇编队多阶段火力分配问题形式化为一个攻防对抗的序贯对策问题,基于攻防双方火力单元的存活概率给出双方对抗下的支付函数,建立舰艇编队各阶段火力分配的双矩阵对策模型,通过纳什均衡求解与数学规划的关系,寻求有限次序贯对策中各个阶段对抗的纳什均衡解,进而分析得出攻防对抗中每阶段的最优火力分配策略。最后进行了仿真计算,结果表明该序贯对策方法具有实用性并有一定的推广价值。

Warship formation firepower-assignment is a very vital issue for naval warfare. For the dynamic confrontational of the warship formation firepower-assignment, warship formation multistage firepower-assignment will be formed into a attack- defense confrontation sequential game problem, based on the survival probability of both offensive and defensive firepower u- nit, the payment function is given under the confrontation it builds the double matrix game model of warship formation fire- power-assignment in different stages, through the relationship between the Nash equilibrium solution and mathematical pro- gramming, it seeks the limited sequential game Nash equilibrium solution of each stage of confrontation, then gets the attack- defense confrontation best firepower-assignment strategy of each stage. At last we conduct the simulation, the result shows that the sequential game has practicability and popularization value.