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The validity of assumptions underlying current uses of Lanchester attrition rates

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  • C. J. Ancker
  • A. V. Gafarian

Abstract

This study examines critically the various assumptions, results, and concepts that exist to date in the literature and scientific community concerning the relationships among the Lanchester, stochastic Lanchester, and the general renewal models of combat. Many of the prevailing understandings are shown to be erroneous.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:4:p:505-533
    DOI: 10.1002/1520-6750(198708)34:43.0.CO;2-V
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    References listed on IDEAS

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    1. Richard H. Brown, 1963. "Theory of Combat: The Probability of Winning," Operations Research, INFORMS, vol. 11(3), pages 418-425, June.
    2. Franklin C. Brooks, 1965. "The Stochastic Properties of Large Battle Models," Operations Research, INFORMS, vol. 13(1), pages 1-17, February.
    3. R. K. Watson, 1976. "Technical Note—An Application of Martingale Methods to Conflict Models," Operations Research, INFORMS, vol. 24(2), pages 380-382, April.
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    Cited by:

    1. 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.
    2. David L. Bitters, 1995. "Efficient concentration of forces, or how to fight outnumbered and win," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(3), pages 397-418, April.
    3. John Richard Scales, 1995. "A modified lanchester linear process calibrated to historical data," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(3), pages 491-501, April.
    4. 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.
    5. Ian R. Johnson & Niall J. MacKay, 2011. "Lanchester models and the battle of Britain," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(3), pages 210-222, April.

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