Differential-Game Examination of Optimal Time Sequential Fire-Support Strategies
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Authors
Taylor, James G.
Subjects
Differential Games
Military Tactics
Fire-Support Allocation Strategies
Tactical Allocation
Lanchester Theory of Combat
Optimal Distribution of Supporting Fire
Combat Dynamics
Time-Sequential Combat Games
Military Tactics
Fire-Support Allocation Strategies
Tactical Allocation
Lanchester Theory of Combat
Optimal Distribution of Supporting Fire
Combat Dynamics
Time-Sequential Combat Games
Advisors
Date of Issue
1976-09
Date
Publisher
Monterey, California: Naval Postgraduate School
Language
Abstract
Optimal time-sequential fire-support strategies are studied through a two-person zero-sum deterministic differential game with close-loop (or feedback) strategies. Lanchester-type equations of warfare are used in this work. In addition to the max-min principle, the theory of singular extremals is required to solve this prescribed-duration combat problem. The combat is between two heterogeneous forces, each composed of infantry and a supporting weapon system (artillery). In contrast to previous work reported in the literature, the attrition structure of the problem at hand leads to force-level-dependent optimal fire-support strategies with the attacker's optimal fire-support strategy requiring him to sometimes split his artillery fire between enemy infantry and artillery (counterbattery fire). A solution phenomenon not previously encountered in Lanchester-type differential games is that the adjoint variables may be discontinuous across a manifold of discontinuity for both players' strategies. This makes the synthesis of optimal strategies particularly difficult. Numerical examples are given.
Type
Technical Report
Description
Series/Report No
Department
Operations Research (OR)
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
NPS-55Tw76091
Sponsors
Funder
Navy Analysis Programs (Code 431)
Office of Naval Research
Foundation Research Program of the Naval Postgraduate School
Office of Naval Research
Foundation Research Program of the Naval Postgraduate School
Format
58 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
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.