Application of differential games to problems of military conflict: Tactical allocation problems, Part III - Appendices C and D

摘要

The mathematical theory of differential games is used to study thestructure of optimal allocation strategies for some time-sequential combatgames with combat described by Lanchester-type equations of warfare.Several specific problems for the determination of optimal time-sequentialfire distribution strategies for supporting weapon systems are studied.Optimal air-war strategies are studied within the context of land-warobjectives and compared to those for a model which does not explicitly consider the ground war. Several differential game models are used to studyoptimal fire-support strategies in an attack scenario. For an existingdifferential game fire-support model we determine for what class of criterionfunctionals (i.e., objectives) the optimal fire-support strategies areindependent of force levels. In a similar differential game we examine thedependence of optimal fire-support strategies upon the functional form ofthe combat attrition model by considering slightly different combat dynamics.Some relatively new theoretical developments are required for the completesolution of this latter problem. Previous analytic work in the field ofdetermination of optimal fire-support strategies is reviewed.