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Annihilation Prediction for Lanchester-Type Models of Modern Warfare

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Author
Brown, G.G.
Taylor, J.
Date
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.
Description
Operations Research, 31, p.752.
Rights
defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
URI
http://hdl.handle.net/10945/38126
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    Further canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare 

    Taylor, James G.; Brown, Gerald G. (Monterey, California. Naval Postgraduate School, 1977-06); NPS55-77-27
    This paper introduces an important new canonical set of functions for solving Lanchester-type equations of modern warfare for combat between two homogeneous forces with power attrition-rate coefficients with "no effect." ...
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    On Liouville's normal form for Lanchester-type equations of modern warfare with variable coefficients 

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    Taylor, James G.; Comstock, Craig (Monterey, California. Naval Postgraduate School, 1976); NPS-55Tw76081
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