Annihilation Prediction for Lanchester-Type Models of Modern Warfare
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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This paper introduces important new functions for analytic solution of Lanchester- type equations of modern warfare tor combat between two homogeneous forces modeled by power attrition-rate coefficients with no offset. Tabulations of these Lanchester-Clifford-Schlafli or LCS functions allow one to study this particular variable-coefficient model almost as easily and thoroughly as Lanchesters 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 as 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 battles 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.
- Operations Research
- Military Operations, Strategy and Tactics