Annihilation Prediction for Lanchester-Type Models of Modern Warfare

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Authors
Brown, G.G.
Taylor, J.
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1983
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1983
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Abstract
This paper introduces important new functions for analytic solution of Launch-ester-type equations of modern warfare for combat between two homogeneous forces modeled by power attrtition-rate coefficients with "no offset". Tabulations of these Lanchester-Clifford-Schlatii (or LCS) functions allow one to study this particular variable-coefficient model almost as easily and thoroughly as Lanchester's classic constant-coefficient one. LCS functions allow one to obtain important information (in particular, force-annihilation prediction) without having to spend the time and effort of computing force-level trajectories. The choice of these particular functions is based on theoretical considerations that apply in general to Lanchester-type equations of modern warfare and provide guidance for developing other canonical functions. Moreover, our new LCS functions also provide valuable information about related variable-coefficient models. Also, we introduce an important transformation of the battle's time scale that not only simplifies the force-level equations, but also shows that relative fire effectiveness and intensity of combat are the only two weapon-system parameters determining the course of such variable-coefficient Lanchester-type combat.
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Article
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Operations Research, 31, p.752.
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Operations Research (OR)
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Brown, G.G. and Taylor, J., 1983, “Annihilation Prediction for Lanchester-Type Models of Modern Warfare,” Operations Research, 31, p.752.
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defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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