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

Author

Listed:
  • N. Cangiotti

    (Polytechnic University of Milan)

  • M. Capolli

    (Institute of Mathematics)

  • M. Sensi

    (MathNeuro Team, Inria at Université Côte d’Azur
    Politecnico di Torino)

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.

Suggested Citation

  • N. Cangiotti & M. Capolli & M. Sensi, 2023. "A generalization of unaimed fire Lanchester’s model in multi-battle warfare," Operational Research, Springer, vol. 23(2), pages 1-19, June.
    • Handle: RePEc:spr:operea:v:23:y:2023:i:2:d:10.1007_s12351-023-00776-8
    DOI: 10.1007/s12351-023-00776-8
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    References listed on IDEAS

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    1. James G. Taylor, 1973. "Target selection in Lanchester combat: Linear‐law attrition process," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(4), pages 673-697, December.
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    5. William P. Fox, 2010. "Discrete Combat Models: Investigating the Solutions to Discrete Forms of Lanchester's Combat Models," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 1(1), pages 16-34, January.
    6. Moshe Kress, 2020. "Lanchester Models for Irregular Warfare," Mathematics, MDPI, vol. 8(5), pages 1-14, May.
    7. P L Liu & H K Sun & Y T You, 2012. "Some comments on MacKay's Lanchester mixed forces model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(11), pages 1631-1633, November.
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    Cited by:

    1. Daewon Chung & Byeongseon Jeong, 2024. "Analyzing Russia–Ukraine War Patterns Based on Lanchester Model Using SINDy Algorithm," Mathematics, MDPI, vol. 12(6), pages 1-14, March.

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