Application of differential games to problems of military conflict: Tactical allocation problems, Part III
Loading...
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, CA; Naval Postgraduate School
Language
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
Organization
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.
Funding
61153 N; RR614-11-05; NR 276-039; PO-4-0174
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.