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Fitting Lanchester's square law to the Ardennes Campaign

Author

Listed:
  • C-Y Hung

    (National Chiao Tung University)

  • G K Yang

    (Chinese Military Academy)

  • P S Deng

    (Central Police University)

  • T Tang

    (National Chiao Tung University)

  • S-P Lan

    (National Defense Management College)

  • P Chu

    (Central Police University)

Abstract

In this research, we try to improve Bracken's and Chen's work to significantly better fit our extended Lanchester model into the Ardennes Campaign live data. Essentially, we adopt the concepts of the tactical factor variable and the shift time variable to improve the original Lanchester's model. Moreover, we use the Lanchester square law model instead of Lanchester linear law model to reflect the fact that the Ardennes Campaign was not an indirect-fire but a direct-fire combat. According to our numerical experimental result, we improved Bracken's work by 39.26%, and Chen's work by 19.51%. The contribution of this research is that we propose a much better qualitative analysis model for the explanation of modern combat.

Suggested Citation

  • C-Y Hung & G K Yang & P S Deng & T Tang & S-P Lan & P Chu, 2005. "Fitting Lanchester's square law to the Ardennes Campaign," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(8), pages 942-946, August.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:8:d:10.1057_palgrave.jors.2601878
    DOI: 10.1057/palgrave.jors.2601878
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    References listed on IDEAS

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    1. Jerome Bracken, 1995. "Lanchester models of the ardennes campaign," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(4), pages 559-577, June.
    2. Hausken, Kjell & Moxnes, John F., 2002. "Stochastic conditional and unconditional warfare," European Journal of Operational Research, Elsevier, vol. 140(1), pages 61-87, July.
    3. S. J. Deitchman, 1962. "A Lanchester Model of Guerrilla Warfare," Operations Research, INFORMS, vol. 10(6), pages 818-827, December.
    4. Helmbold, Robert L., 1994. "Direct and inverse solution of the Lanchester square law with general reinforcement schedules," European Journal of Operational Research, Elsevier, vol. 77(3), pages 486-495, September.
    5. J. H. Engel, 1954. "A Verification of Lanchester's Law," Operations Research, INFORMS, vol. 2(2), pages 163-171, May.
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