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A fast approximation of homogeneous stochastic combat

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  • J. Yang
  • A. V. Gafarian

Abstract

The stochastic combat model with arbitrary interkiling time distribution is more general than the deterministic Lanchester model or the exponential model [3]. Unfortunately, the exact analytical solution of the more general combat model requires a huge amount of computation time, which makes it practically impossible to use for battles beyond 4 on 4. An approximate solution for a class of homogeneous stochastic combats with arbitrary interkilling time distribution is developed in this study. A large number of randomly generated battles from a very general population have been used to evaluate the approximation algorithm for accuracy and computation time. The results indicate that the approximation algorithm is highly accurate and its computation speed is about 100 to 1000 times faster than the corresponding simulation to reach the same level of accuracy. © 1995 John Wiley & Sons, Inc.

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  • J. Yang & A. V. Gafarian, 1995. "A fast approximation of homogeneous stochastic combat," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(3), pages 503-533, April.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:3:p:503-533
    DOI: 10.1002/1520-6750(199504)42:33.0.CO;2-Z
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    References listed on IDEAS

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    1. C. J. Ancker & A. V. Gafarian, 1987. "The validity of assumptions underlying current uses of Lanchester attrition rates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(4), pages 505-533, August.
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    Cited by:

    1. Pettit, L. I. & Wiper, M. P. & Young, K. D. S., 2003. "Bayesian inference for some Lanchester combat laws," European Journal of Operational Research, Elsevier, vol. 148(1), pages 152-165, July.
    2. Shahrooz Parkhideh & A. V. Gafarian, 1996. "General solution to many‐on‐many heterogeneous stochastic combat," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(7), pages 937-953, October.

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