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Letter to the Editor—Quasilinearization and Inverse Problems for Lanchester Equations of Conflict

Author

Listed:
  • J. D. Bueil

    (The Rand Corporation, Santa Monica, California)

  • H. H. Kagiwada

    (The Rand Corporation, Santa Monica, California)

  • R. E. Kalaba

    (The Rand Corporation, Santa Monica, California)

Abstract

This letter applies quasilinearization and digital computation to the solution of certain problems concerning the Lanchester equations of combat. The study shows how the enemy's strength and replenishment rate may be estimated on the basis of information on friendly units. The problem is phrased as a nonlinear, multipoint, boundary-value problem, and quasilinearization is used for the numerical solution. The results of some numerical experiments performed with the aid of an IBM 7044 computer are presented, and the problem of errors in the observations is examined.

Suggested Citation

  • J. D. Bueil & H. H. Kagiwada & R. E. Kalaba, 1968. "Letter to the Editor—Quasilinearization and Inverse Problems for Lanchester Equations of Conflict," Operations Research, INFORMS, vol. 16(2), pages 437-442, April.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:2:p:437-442
    DOI: 10.1287/opre.16.2.437
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    Cited by:

    1. Hsi-Mei Chen, 2002. "An Inverse Problem of the Lanchester Square Law in Estimating Time-Dependent Attrition Coefficients," Operations Research, INFORMS, vol. 50(2), pages 389-394, April.

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