Canonical Methods in the Solution of Variable-Coefficient Lanchester-Type Equations of Modern Welfare

dc.contributor.authorBrown, Gerald G.
dc.contributor.authorTaylor, James G.
dc.contributor.departmentOperations Research (OR)
dc.date(Received original October 17, 1974; final, May 12, 1975)
dc.date.accessioned2014-01-09T22:21:05Z
dc.date.available2014-01-09T22:21:05Z
dc.date.issued1976
dc.descriptionOperations Research, 24, pp. 44-69.en_US
dc.description.abstractThis 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 effectivenesses (as expressed by 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 functions, which are introduced here and can be readily tabulated. Different Lanchester functions arise from different mathematical forms for the attrition-rate coefficients. We 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.en_US
dc.identifier.citationBrown, G.G. and Taylor, J., 1976, “Canonical Methods in the Solution of Variable-Coefficient Lanchester-Type Equations of Modern Welfare,” Operations Research, 24, pp. 44-69.
dc.identifier.urihttps://hdl.handle.net/10945/38107
dc.rightsdefined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.titleCanonical Methods in the Solution of Variable-Coefficient Lanchester-Type Equations of Modern Welfareen_US
dc.typeArticleen_US
dspace.entity.typePublication
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