Application of differential games to problems of military conflict: Tactical allocation problems, Part I
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Authors
Taylor, James G.
Subjects
Advisors
Date of Issue
1970-06-19
Date
19 June 1970
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
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 upon 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.
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS-55TW70062A
Sponsors
The Office of Naval Research
Funder
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.