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dc.contributor.advisorTaylor, J.G.
dc.contributor.authorCarpenter, James N.
dc.date.accessioned2012-11-16T18:48:26Z
dc.date.available2012-11-16T18:48:26Z
dc.date.issued1976-03
dc.identifier.urihttp://hdl.handle.net/10945/17879
dc.description.abstractThis thesis evaluates the so-called Liouville-Green approximation to the solution of variable-coefficient Lanchester-type equations for combat between two homogeneous forces. When compared to the form of the exact solutions, this approximation is in terms of "elementary" functions. Two specific forms of attrition-rate coefficients are considered, allowing for different maximum effective ranges of the two opposing weapon systems. These coefficients might be used to model a constant-speed attack against a static defensive position. It is shown that for these attrition-rate coefficients, the Liouville-Green approximation is not consistently reliable for predicting force levels, and yields exact results only under certain restrictive conditions. ' Furthermore it was found that methodology is not presently available to accurately predict from Liouville's normal form the error which will be incurred by invoking the approximation in a specific situation.en_US
dc.description.urihttp://archive.org/details/anumericalevalua1094517879
dc.language.isoen_US
dc.titleA numerical evaluation of the Liouville-Green approximation of variable-coefficient Lanchester-type equations of modern warfareen_US
dc.typeThesisen_US
dc.contributor.secondreaderBrown, Gerald G.
dc.contributor.corporateNaval Postgraduate School
dc.contributor.schoolNaval Postgraduate School
dc.contributor.departmentOperations Research
dc.subject.authorLiouville - Green Approximationen_US
dc.subject.authorCombat Modelen_US
dc.subject.authorLanchester Modelen_US
dc.description.serviceCaptain, United States Armyen_US
etd.thesisdegree.nameM.S. in Operations Researchen_US
etd.thesisdegree.levelMastersen_US
etd.thesisdegree.disciplineOperations Researchen_US
etd.thesisdegree.grantorNaval Postgraduate Schoolen_US
dc.description.distributionstatementApproved for public release; distribution is unlimited.


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