Application of differential games to problems of military conflict
Subtitle: tactical allocation problems, Part I
By: by James G. Taylor
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1970
Place of publication: Monterey, California
Language: eng
Number of pages: 201
Subjects: Naval tactics; Games of strategy (Mathematics)
Description: 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)
Notes: Title from cover.

"19 June 1970"--Cover.

"NPS-55TW70062A"--Cover.

DTIC Identifiers: Optimal control, pontryagin maximum principle, control theory, game theory.

Author(s) subject terms: Differential games, tactical allocation, command control, military tactics, Lanchester theory of combat, dynamic kill potential, inventory theory.

Includes bibliographical references (p. 192-197)

"Approved for public release; distribution unlimited"--Cover.

Technical report; March 30 1970 - June 19, 1970.