数学建模及其应用

本文研究烟幕干扰弹遮蔽来袭导弹问题.对于一枚烟幕干扰弹和一枚来袭导弹的情形,给出了烟幕遮蔽导弹的快速判别方法,采用改进二分法快速计算有效遮蔽时长.对不同数量的无人机、携带烟幕干扰弹及来袭导弹分别建立最优策略模型,并给出了近似求解方法.最后对竞赛论文给出简要的评述.

In this paper, the problems of smoke screen interference bombs which shield incoming missiles are studied. For the case of one smoke screen bomb and one incoming missile, a quick discrimination method for smoke screen shielding missile is proposed, and an improved bisection method is used to quickly calculate the effective shielding time. Optimization models are established for different numbers of UAVs, smoke screen interference bombs, and incoming missiles, and the approximate solving algorithms are provided. Finally, some brief reviews on the contest papers are provided.