Application of differential games to problems of military conflict: Tactical allocation problems, Part III
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Authors
Taylor, James G.
Subjects
Military Tactics
Campaign Strategies
Lanchester Theory of Combat
Tactical Allocation
Time-Sequential Combat Games
Optimal Distribution of Fire
Combat Dynamics
Differential Games
Campaign Strategies
Lanchester Theory of Combat
Tactical Allocation
Time-Sequential Combat Games
Optimal Distribution of Fire
Combat Dynamics
Differential Games
Advisors
Date of Issue
1974-05
Date
September 1973 - May 1974
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The mathematical theory of differential games is used to study the
structure of optimal allocation strategies for some time-sequential combat
games with combat described by Lanchester-type equations of warfare. As
required by such applications, some new theoretical results are given: first
order necessary conditions of optimality are developed for differential games
with state variable inequality constraints. These results are used to study
optimal air-war strategies in a differential game model. In a different model, optimal air-war strategies are further studied within the context of
land-war objectives. Optimal fire-support strategies are studied in an
attack scenario with a differential game model. A comprehensive survey of previous literature on each of the above topics is given. Finally, some problems for possible future study are discussed.
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS-55Tw74051
Sponsors
supported by Naval Analysis Programs, Office of
Naval Research under ONR Project Order PO-4-0174 and Task Number NR
276-039.
Funder
61153 N; RR614-11-05;
NR 276-039; PO-4-0174
Format
NA
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.