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dc.contributor.authorTaylor, James G.
dc.contributor.authorPowers, Robert L.
dc.date1977-04
dc.date.accessioned2013-02-27T23:36:34Z
dc.date.available2013-02-27T23:36:34Z
dc.date.issued1977-04
dc.identifier.urihttp://hdl.handle.net/10945/29222
dc.descriptionInvited paper presented at International Symposium on Applications of Computers and Operations Research to Problems of World Concern held in Washington, D.C. in August 1973.en_US
dc.description.abstractThe structure of the optimal fire distribution policy obtained using a deterministic combat attrition model is compared with that for a stochastic one. The same optimal control problem for a homogeneous force in Lanchester combat against heterogeneous forces is studied using two different models for the combat dynamics (the usual deterministic Lanchester-type differential euqation formulation and a continuous parameter Markov chain with stationary transition probabilities). Both versions are solved using modern optimal control theory (the maximum principle (including the theory of state variable inequality constraints) for the deterministic control problem and the formalism of dynamic programming for the stochastic control problem). Numerical results have been generated using a digital computer and are compared. (Author)en_US
dc.description.sponsorshipNaval Analysis Programs (Code 431), Office of Naval Research and 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/comparisonofdete00tayl
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.lcshPOINT PROCESSES--MATHEMATICAL MODELS.POISSON DISTRIBUTION--MATHEMATICAL MODELS.LAPLACE TRANSFORMATION--MATHEMATICAL MODELS.NUMBERS, RANDOM--MATHEMATICAL MODELS.en_US
dc.titleComparison of a deterministic and a stochastic formulation for the optimal control of a Lanchester-type attrition processen_US
dc.typeTechnical Reporten_US
dc.contributor.corporateNaval Postgraduate School (U.S.)
dc.subject.authorDeterministic Optimal Controlen_US
dc.subject.authorMarkov-Chain Combat Modelen_US
dc.subject.authorStochastic Optimal Controlen_US
dc.subject.authorOptimal Military Tactics,Optimal Fire Distribution Time-Sequential Decision Makingen_US
dc.subject.authorLanchester Theory of Combaten_US
dc.subject.authorOptimal Tactical Allocationen_US
dc.description.funderN0001477WR70044en_US
dc.description.recognitionNAen_US
dc.identifier.oclcNA
dc.identifier.npsreportNPS55-77-18


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