A problem of allocation of supporting fire in combat as a zero sum differential game.
Loading...
Authors
Ellis, Jeffrey Lee.
Subjects
Advisors
Taylor, James G.
Date of Issue
1974-03
Date
March 1974
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
Optimal fire-support strategies are studied through a deterministic differential game using Lanchester-type equations of warfare. 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 the optimal fire-support strategy of the attacker requiring him to sometimes split his artillery fire between enemy infantry and artillery (counterbattery fire). Numerical examples are given. The military significance (based on the marginal value interpretation of the dual variable) of various optimality conditions is discussed.
Type
Thesis
Description
Series/Report No
Department
Operations Research and Administrative Sciences
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
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.