Canonical Methods in the Solution of Variable-Coefficient Lanchester-Type Equations of Modern Welfare
dc.contributor.author | Brown, Gerald G. | |
dc.contributor.author | Taylor, James G. | |
dc.contributor.department | Operations Research (OR) | |
dc.date | (Received original October 17, 1974; final, May 12, 1975) | |
dc.date.accessioned | 2014-01-09T22:21:05Z | |
dc.date.available | 2014-01-09T22:21:05Z | |
dc.date.issued | 1976 | |
dc.description | Operations Research, 24, pp. 44-69. | en_US |
dc.description.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 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.citation | Brown, 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.uri | https://hdl.handle.net/10945/38107 | |
dc.rights | defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States. | en_US |
dc.title | Canonical Methods in the Solution of Variable-Coefficient Lanchester-Type Equations of Modern Welfare | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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