论文标题
优化NCW型模型中的火灾分配
Optimizing fire allocation in a NCW-type model
论文作者
论文摘要
在本文中，我们引入了NCW型的非线性Lanchester模型，并研究了该模型的优化问题，其中只有几种供应剂提供了红色力。蓝色力的最佳火力分配是以时间的零件恒定函数的形式寻求的。在战斗的每个阶段开始时，针对红色力量及其每个供应剂计算了威胁率。这些速率可用于得出蓝色力量将火力集中在红色力量本身或其供应剂之一的最佳决定中。考虑到蓝色部队数量的优化问题，可以得出和证明这种最佳火灾分配。包括数值实验以证明理论结果。
In this paper, we introduce a non-linear Lanchester model of NCW-type and investigate an optimization problem for this model, where only the Red force is supplied by several supply agents. Optimal fire allocation of the Blue force is sought in the form of a piece-wise constant function of time. A threatening rate is computed for the Red force and each of its supply agents at the beginning of each stage of the combat. These rates can be used to derive the optimal decision for the Blue force to focus its firepower to the Red force itself or one of its supply agents. This optimal fire allocation is derived and proved by considering an optimization problem of number of Blue force troops. Numerical experiments are included to demonstrate the theoretical results.
