基于嵌入MC的动态WTA方法研究

Dynamic Weapon Target Assignment Method Based on Embedded Markov Chain

总结了武器目标分配(Weapon Target Assignment,WTA)问题的研究现状,分析了资源损失最小化和目标威胁最大化两类静态分配模型的局限性,为了达到目标动态分配的目的以解决当前方法的非实时性问题,提出了一种符合作战实际的动态武器目标分配方法。首先,为使分配模型具有实时性和一般性,引入了目标的动态输入,并使其按一般性分布随机地进入;其次,针对目标输入后的动态随机系统,分析了再生点瞬间的系统状态,采用嵌入马尔可夫链(Markov Chain,MC)的方法使得系统马尔可夫化,求解了系统的状态转移概率;再次,构造了武器目标分配的目标函数,根据系统的状态转移概率建立了动态的目标分配模型;最后给出了模型求解方法,并通过实例证明了该方法的有效性和实时性,是对现有方法的一种完善和补充。

In this paper, the technical limitations of minimizing resource losing model and maximizing threat model are analyzed via re- viewing the current research of weapon target assignment （WTA） problem. To solve the non - real - time problem with the existing methods, a dynamic WTA method is proposed which accords with the practical combat. Firstly, to make the allocation model being real - time and general, the dynamic input of target is introduced at random. Secondly, aiming at the dynamic random system with target in- puts, the state of rebirth time is analyzed, and the system is transformed into a Markov process by embedded Markov Chain. Then the system state transition probability is resolved. Thirdly, the objective function is constructed, and the target assignment dynamic model is established by state transition matrix. Finally, the solution of model is given, and its validity and real - time characteristics are proved. The method proposed in this paper refines and complements current weapon target assignment models.