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dc.contributor.authorTaylor, James G.
dc.contributor.authorComstock, Craig
dc.dateApril 1976 - July 1976
dc.date.accessioned2013-02-27T23:37:01Z
dc.date.available2013-02-27T23:37:01Z
dc.date.issued1976
dc.identifier.urihttp://hdl.handle.net/10945/29310
dc.description.abstractThis paper develops a mathematical theory for predicting force annihilation from initial conditions without explicitly computing force-level trajectories for deterministic Lanchester-type "square-law" attrition equations for combat between two homogeneous forces with temporal variations in fire effectiveness (as expressed by the Lanchester attrition-rate coefficients). It introduces a cannonical auxiliary parity-condition problem for the determination of a single parity- condition parameter ("the enemy force equivalent of a friendly force of unit strength") and new exponential-like general Lanchester functions. Prediction of force annihilation within a fixed finite time would involve the use of tabulations of the quotient of two Lanchester functions. These force-annihilation results provide further information on the mathematical properties of hyperbolic-like general Lanchester functions: in particular, the parity-condition parameter is related to the range of the quotient of two such hyperbolic-like general Lanchester functions. Different parity-condition parameter results and different new exponential-like general Lanchester functions arise from different mathematical forms for the attrition-rate coefficients. This theory is applied to general power attrition-rate coefficients: exact force-annihilation results are obtained when the so-called offset parameter is equal to zero, while upper and lower bounds for the parity-condition parameter are obtained when the offset parameter is positive.en_US
dc.description.sponsorshipSupported by the Foundation Research Program of the Naval Postgraduate School with funds provided by the Chief of Naval Research.en_US
dc.description.urihttp://archive.org/details/forceannihilatio00tayl
dc.format.extentNAen_US
dc.language.isoen_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, may not be copyrighted.en_US
dc.subject.lcshDIMENSIONAL ANALYSIS.en_US
dc.titleForce-annihilation conditions for variable-coefficient lanchester-type equations of modern warfare, I: Mathematical Theoryen_US
dc.typeTechnical Reporten_US
dc.contributor.corporateNaval Postgraduate School (U.S.)
dc.subject.authorLanchester Theory of Combaten_US
dc.subject.authorCombat Dynamicsen_US
dc.subject.authorDeterministic Combat Attritionen_US
dc.description.funderN0001476WR60052en_US
dc.description.recognitionNAen_US
dc.identifier.oclcNA
dc.identifier.npsreportNPS-55Tw76081


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