施君杰　宋业新

(海军工程大学理学院　武汉　430033)



基于双目标双矩阵对策的水面舰艇火力分配研究*

施君杰宋业新

(海军工程大学理学院武汉430033)

摘要在海上水面舰艇多冲突复杂环境下,为了提高作战效能,针对作战双方的毁伤效能和打击时间两个目标进行研究,根据给定的毁伤效能和打击时间双目标的定义得到双方对抗下的目标支付函数,通过建立水面舰艇火力分配的双目标双矩阵对策模型,运用熵权法对对策模型中的双目标进行分析处理,将双目标双矩阵对策模型转化为单目标双矩阵对策,寻求纳什均衡解进而得出双目标条件下的最优火力分配策略,最后论文进行了仿真计算,所得结果说明了该模型具有一定的实用性和推广价值。

关键词水面舰艇; 火力分配; 双目标双矩阵对策; 纳什均衡

Warship Formation Firepower-assignment Based on Double Objective Dual Matrix Game

SHI JunjieSONG Yexin

(College of Science, Naval University of Engineering, Wuhan430033)

AbstractIn the warship formation multi-conflict complex situation on the sea, in order to improve the operational effectiveness, the damage effectiveness and strike time of two targets are researched. According to the definition of the given damage efficiency and strike time, the target payment function is obtained. Through building the double objective matrix game model of surface vessel firepower-assignment, using the Entropy weight method, the aggregation model can be solved by transforming it into a single objective double matrix game. The Nash equilibrium solution is seeken to get the best firepower-assignment strategy of double objective. At last the simulation result shows that the sequential game has practicability and popularization value.

Key Wordssurface vessel, firepower-assignment, double objective dual matrix game, Nash equilibrium

Class NumberO225

1引言

现代化海战中环境复杂多变,水面舰艇作为海上主要作战武器,随着信息化、智能化海战的突飞猛进,影响整体作战效能的各种目标因素越来越显著,而火力分配又是海上水面舰艇作战的重要内容[1~3],因此考虑多目标条件下的火力分配尤为重要,火力打击策略[4]选择的合理与否也将直接影响作战效果与战斗力的发挥。

火力分配是海上水面舰艇作战指挥的核心问题,也是亟待解决的重大理论和应用研究问题。文献[5]通过改进和优化算法来讨论复杂情况下的火力分配问题,但没能给出具体的火力分配对策模型;文献[6]基于毁伤效能目标函数的基础上研究了火力分配,文献[7~8]给出了火力分配的具体对策集结模型,但这些研究都只考虑了单目标情况下的对策集结模型,不能较全面地分析信息化海战中多目标的火力分配问题。……