Lanchester-Type Models of Warfare and Optimal Control
Taylor, James G.
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The optimization of the dynamics of combat (optimal distribution of fire over enemy target types) is studied through a sequence of idealized models by use of the mathematical theory of optimal controL The models are for combat over a period of time described by Lanchester-type equations with a choice of tactics available to one side and subject to change with time. The structure of optimal fire distribution policies is discussed with reference to the influence of combatant objectives, termination conditions of the conflict, type of attrition process, and variable attrition-rate coefficients. Implications for intelligence, command and control systems, and human decision making are pointed out. The use of such optimal control models for guiding extensions to differential games is discussed.
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Application of differential games to problems of military conflict: Tactical allocation problems, Part II Taylor, James G. (Monterey, California. Naval Postgraduate School, 1972-11); NPS55TW72111AThe mathematical theory of optimal control/differential games is used to study the structure of optimal allocation policies for some tactical allocation problems with combat described by Lanchester-type equations of warfare. ...
Guthrie, Katherine H. (Monterey, California: Naval Postgraduate School, 2017-06);A cascade heuristic appeals when we are faced with a monolithic optimization model exhibiting more decision variables and/or constraints than can be accommodated by computers and/or optimization software available. This ...
Application of differential games to problems of military conflict: Tactical allocation problems, Part III - Appendices C and D Taylor, James G. (Monterey, California. Naval Postgraduate School, 1974-11); NPS55TW74112The mathematical theory of differential games is used to study the structure of optimal allocation strategies for some time-sequential combat games with combat described by Lanchester-type equations of warfare. Several ...