Canonical Methods in the Solution of Variable-Coefficient Lanchester-Type Equations of Modern Warfare
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Authors
Taylor, James G.
Brown, Gerald G.
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1976-01
Date
1976-01
January-February 1976
January-February 1976
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Abstract
This paper develops a mathematical theory for solving deterministic, Lanchester-type, 'square-law' attrition equations for combat between two homogeneous forces with temporal variations in fire effec- tivenesses (as expressed b y the Lanchester attrition-rate coefficients). It gives a general form for expressing the solution of such variable-coefficient combat attrition equations in terms of Lanchester func- tions, which are introduced here and can be readily tabulated. Different Lanchester functions arise from different mathematical forms for the attrition-rate coefficients. W e give results for two such forms: (1) effectiveness of each side's fire proportional to a power of time, and (2) effectiveness of each side's fire linear with time but with a nonconstant ratio of attrition-rate coefficients. Previous results in the literature for a nonconstant ratio of these attrition-rate coefficients only took a convenient form under rather restrictive conditions.
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Article
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Naval Postgraduate School
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This research was supported by the Office of Naval Research as part of the Foundation Research Program at the Naval Postgraduate School.
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Taylor, James G., and Gerald G. Brown. "Canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare." Operations research 24.1 (1976): 44-69.
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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.