The solution of Lanchester’s equations with inter-battle reinforcement strategies

Mark McCartney

Physica A: Statistical Mechanics and its Applications, 2022, vol. 586, issue C

Abstract: A two army conflict made up of repeated battles with inter-battle reinforcements is considered. Each battle is modelled via Lanchester’s ‘aimed fire’ model and three reenforcement strategies; constant, and linearly and quadratically varying (with respect to post-battle troop levels) are investigated. It is shown that while a constant reenforcement strategy will always lead to an outright victory via a simple partitioning of the two dimensional army strength space, linear reinforcement can lead to stalemate, and quadratically varying reinforcement can lead to stalemate, with quasi-periodic and chaotic behaviour, and the creation of fractal partitioning the army space.

Keywords: Lanchester’s equations; Warfare; Discrete time models (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:586:y:2022:i:c:s0378437121007500

DOI: 10.1016/j.physa.2021.126477

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