Survey on the optimal control of Lanchester-type attrition processes
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Authors
Taylor, James G.
Subjects
Advisors
Date of Issue
1974-03
Date
Partial Report for Period
September 1973 - December 1973
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
This is a survey paper on the author's research on applications of the
mathematical theory of optimal control/differential games to problems of military
conflict in order to study the structure of optimal tactical allocation
policies. This program has been carried out for tactical allocation problems
with the combat described by Lanchester-type equations of warfare. Both deterministic
and stochastic attrition processes have been considered, although
the major emphasis has been on the former. Optimal allocation policies have been developed for numerous one-sided optimization problems of tactical interest with deterministic Lanchester-type attrition processes in order to study the dependence of the structure of these optimal policies upon model form. Problem areas in applying current mathematical theories to solve such problems are discussed. An important gap in the existing theory of differential games is identified. Various attrition models are considered (relfecting different assumptions as to target acquisition process, command and control capabilities, target engagement process, variations in range capabilities of weapon systems).
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS-55Tw74031
Sponsors
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.