A Generalization of Lanchester's Model of Warfare
Nicol\`o Cangiotti, Marco Capolli, Mattia Sensi

TL;DR
This paper reviews Lanchester's classical warfare model and introduces a generalized version for multiple armies, supported by numerical simulations to analyze complex conflict dynamics.
Contribution
It extends Lanchester's model to scenarios involving three or more armies, addressing limitations of the original two-force framework.
Findings
Generalized model captures complex multi-army interactions
Numerical simulations demonstrate diverse conflict outcomes
Enhanced understanding of warfare dynamics with multiple forces
Abstract
The classical Lanchester's model is shortly reviewed and analysed, with particular attention to the critical issues that intrinsically arise from the mathematical formalization of the problem. We then generalize a particular version of such a model describing the dynamics of warfare when three or more armies are involved in the conflict. Several numerical simulations are provided.
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Taxonomy
TopicsMilitary Defense Systems Analysis · Military Strategy and Technology · Guidance and Control Systems
