Calculus of Variations and Geometric Measure Theory

N. Cangiotti - M. Capolli - M. Sensi

A generalization of unaimed fire Lanchester’s model in multi-battle warfare

created by cangiotti on 05 Dec 2023
modified on 10 May 2024

[BibTeX]

Published Paper

Inserted: 5 dec 2023
Last Updated: 10 may 2024

Journal: Operational Research
Volume: 23
Year: 2023
Doi: 10.1007/s12351-023-00776-8

ArXiv: 2112.06973 PDF

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.

Keywords: Ordinary differential equations, Lanchester models, Multilateral conflicts