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arXiv · 2104.02983

Optimal fire allocation in a combat model of mixed NCW type

My A. Vu·Nam H. Nguyen·Hanh Le T. Nguyen·Anh N. Ta·Mong H. Nguyen
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Abstract

In this work, we introduce a nonlinear Lanchester model of NCW-type and study a problem of finding the optimal fire allocation for this model. A Blue party $B$ will fight against a Red party consisting of $A$ and $R$, where $A$ is an independent force and $R$ fights with supports from a supply unit $N$. A battle may consist of several stages but we consider the problem of finding optimal fire allocation for $B$ in the first stage only. Optimal fire allocation is a set of three non-negative numbers whose sum equals to one, such that the remaining force of $B$ is maximal at any instants. In order to tackle this problem, we introduce the notion of \textit{threatening rates} which are computed for $A, R, N$ at the beginning of the battle. Numerical illustrations are presented to justify the theoretical findings.

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BibTeXRIS

My A. Vu, Nam H. Nguyen, Hanh Le T. Nguyen, Anh N. Ta, Mong H. Nguyen. 2021-04-07. Optimal fire allocation in a combat model of mixed NCW type. https://arxiv.org/abs/2104.02983

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