Accession Number : AD0777882

Title :   A Problem of Allocation of Supporting Fire in Combat as a Zero Sum Differential Game.

Descriptive Note : Master's thesis,


Personal Author(s) : Ellis,Jeffrey Lee

Report Date : MAR 1974

Pagination or Media Count : 62

Abstract : Optimal fire-support strategies are studied through a deterministic differential game using Lanchester-type equations of warfare. In addition to the MAX-Min principle, the theory of singular extremals is required to solve this prescribed duration combat problem. The combat is between two heterogeneous forces, each composed of infantry and a supporting weapon system (artillery). In contrast to previous work reported in the literature, the attrition structure of the problem at hand leads to the optimal fire-support strategy of the attacker requiring him to sometimes split his artillery fire between enemy infantry and artillery (counterbattery fire). Numerical examples are given. (Modified author abstract)

Descriptors :   *War games, *Game theory, *Fire support, Lanchester equations, Allocations, Control theory, Military strategy, Mathematical models, Theses

Subject Categories : Military Operations, Strategy and Tactics

Distribution Statement : APPROVED FOR PUBLIC RELEASE