导弹对抗离散数学模型

针对现代非接触战争的特点,用数学方法研究导弹对抗模型问题,针对作战的不同目的和要求,建立两个导弹对抗的非线性规划数学模型,对模型求解设计了近似方法,该方法把上述非线性规划模型化为多个线性规划模型进行求解.对一类较简单的特殊情况进行了仔细分析,得到了分析解.最后指出该方法如何应用于动态实时优化决策.本文的方法可用来预测和评估导弹对抗的效果,为作战实时优化决策提供参考.

Missile Confrontation Discrete Mathematical Model

In view of the characteristics of modern war, the paper studies the problem of missile confrontation simulation with mathematic method. The paper establishes two non-linear mathematic models of missile confrontation according to different operational aims and requirements. The author designs analogical method for model calculating to convert non-linear model into several linear models to calculate. The article analyzes a kind of comparatively simple and special condition in detail and achieves the result. At last it points out how to apply the method to dynamic real-time optimal strategy. The method can be used to forecast and evaluate the effect of missile confrontation, and to provide reference for operational real-time optimal strategy.