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


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


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