Optimal military strength allocation for campaign between single-kind arms and multi-kind arms

Abstract

In the military conflict, the defending side may suffer threats from different attackers at the same time. This kind of situation is called campaign between single-kind arms and multi-kind arms in this article. By introducing the campaign superiority parameter(CSP), the optimal military strength allocation problem is studied for campaign between single-kind arms and multi-kind arms. Firstly, the general model for the campaign is established based on the Lanchester square law. Then, the defending force with enough strengths and with insufficient strengths are considered respectively, as well as the corresponding optimal military strength allocation principle given in theorems. Next, considering the tolerable maximum battle damage rate for the defending side, the optimal military strength allocation principle is modified on the basis of the previous conclusion. Numerical example is given to support the analytical results.

Optimal Support of Military Force Based on (2, 2) Lanchester Square Attrition Model

“…기존 연구에서는 서로 교전하고 있는 두 부대 중 어느 한 부 대가 전멸하는, 즉 전투가 종료되는 시점에서의 아군의 생존 병력을 최대화하는 것을 목적함수로 설정하였다 (Kaup et al, 2005, Sheeba and Debasish, 2008, Sheeba et al, 2006, Wu et al, 2009, Krichman et al, 2001…”

“…. 란체스터 모 형을 구성하는 요소는 병력과 병력을 소모하는 효율을 나타내 는 전투효율이며, 보통 병력은 변수, 전투효율은 결정적 매개 변수로 여기지만, 종종 전투효율을 확률적 매개변수로 고려하 는 경우도 있다 (Kress and Talmor, 1999 (Roberts and Conolly, 1993, Kaup et al, 2005, Sheeba and Debasish, 2008, Sheeba et al, 2006, Wu et al, 2009, Krichman et al, 2001…”