Application of Differential Games to Problems of Military Conflict: Tactical Allocation Problems-Part I.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 19, 1970
- Accession Number
- AD0717577
Entities
People
- James G. Taylor
Organizations
- Naval Postgraduate School