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Optimization in an asymmetric Lanchester (n, 1) model

Author

Listed:
  • Manh D Hy
  • My A Vu
  • Nam H Nguyen
  • Anh N Ta
  • Dinh V Bui

Abstract

Counter-terrorism is a global task that every nation is concerned about. To improve operations against terrorism, many nations carry out counter-terroristic operations not only by themselves but also in cooperation with other nations. In this paper, we propose an extended the Kaplan-Kress-Szechtman model to cope with multi-party counter-terrorism. The optimal control problem for this model is studied. Our main tool is Pontryagin’s maximal principle. The optimal intelligence level and individual reinforcement of each party are found. The numerical results show that counter-terrorism operations in cooperative models are more effective than that in single models.

Suggested Citation

  • Manh D Hy & My A Vu & Nam H Nguyen & Anh N Ta & Dinh V Bui, 2020. "Optimization in an asymmetric Lanchester (n, 1) model," The Journal of Defense Modeling and Simulation, , vol. 17(1), pages 117-122, January.
    • Handle: RePEc:sae:joudef:v:17:y:2020:i:1:p:117-122
    DOI: 10.1177/1548512919828553
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    References listed on IDEAS

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    1. James G. Taylor, 1974. "Lanchester‐type models of warfare and optimal control," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 21(1), pages 79-106, March.
    2. Moshe Kress & Roberto Szechtman, 2009. "Why Defeating Insurgencies Is Hard: The Effect of Intelligence in Counterinsurgency Operations---A Best-Case Scenario," Operations Research, INFORMS, vol. 57(3), pages 578-585, June.
    3. S. J. Deitchman, 1962. "A Lanchester Model of Guerrilla Warfare," Operations Research, INFORMS, vol. 10(6), pages 818-827, December.
    4. Marvin B. Schaffer, 1968. "Lanchester Models of Guerrilla Engagements," Operations Research, INFORMS, vol. 16(3), pages 457-488, June.
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