Accession Number : AD0717577

Title :   Application of Differential Games to Problems of Military Conflict: Tactical Allocation Problems-Part I.

Descriptive Note : Technical rept. 30 Mar-19 Jun 70,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Taylor,James G.

Report Date : 19 JUN 1970

Pagination or Media Count : 199

Abstract : The mathematical theory of deterministic optimal control/differential games is applied to the study of some tactical allocation problems for combat described by Lanchester-type equations of warfare. A solution procedure is devised for terminal control attrition games. H. K. Weiss' supporting weapon system game is solved and several extensions considered. A sequence of one-sided dynamic allocation problems is considered to study the dependence of optimal allocation policies on model form. The solution is developed for variable coefficient Lanchester-type equations when the ratio of attrition rates is constant. Several versions of Bellman's continuous stochastic gold-mining problem are solved by the Pontryagin maximum principle, and their relationship to the attrition problems is discussed. A new dynamic kill potential is developed. Several problems from continuous review deterministic inventory theory are solved by the maximum principle. (Author)

Descriptors :   (*GAME THEORY, DYNAMIC PROGRAMMING), (*TACTICAL WARFARE, MATHEMATICAL MODELS), CLOSE SUPPORT, ARTILLERY FIRE, NAVAL GUNNERY, FIRE CONTROL SYSTEMS, WAR GAMES, KILL PROBABILITIES, DIFFERENTIAL EQUATIONS, HAMILTONIAN, SET THEORY, INTEGRALS, NUMERICAL INTEGRATION, DECISION THEORY, TRANSCENDENTAL FUNCTIONS, LANCHESTER EQUATIONS

Subject Categories : Operations Research
      Military Operations, Strategy and Tactics

Distribution Statement : APPROVED FOR PUBLIC RELEASE