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dc.contributor.authorGaver, Donald P.
dc.contributor.authorMorrison, John A.
dc.contributor.authorSilveira, Rogerio
dc.date1993
dc.date.accessioned2018-12-11T18:50:53Z
dc.date.available2018-12-11T18:50:53Z
dc.date.issued1993
dc.identifier.citationGaver, D.P., Morrison, J.A., and Silveira, R., “Service-Adaptive Multi-Type Repairman Problems,” SIAM Journal of Applied Mathematics, Vol. 53, No. 2, April 1993, pp. 459-470.en_US
dc.identifier.urihttp://hdl.handle.net/10945/60790
dc.description.abstractThe classical “repairman problem” (cf. [Feller, An Introduction to Probability Theory and its Applications, Vol. I, 3rd ed., John Wiley, New York, 1967]) is generalized to consider r failure-prone machine types, each type having its own individual failure rate and repair rate. Each failed machine joins its type queue and is repaired by a single server. Several dynamic service priority schemes are considered that approximate first-come first-served, longest-line first, and least-available first situations. A heavy-traffic asymptotic analysis determines approximations to the time-dependent mean and covariance of individual-type queue lengths and shows that the marginal joint distribution of queue lengths is approximately Ornstein–Uhlenbeck. Numerical illustrations of approximation accuracy are provided, as well as suggested applications to computer performance and manufacturing systems analysis.
dc.format.extent12 p.
dc.publisherSociety for Industrial and Applied Mathematics (SIAM)en_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.titleService-Adaptive Multitype Repairman Problemsen_US
dc.typeArticleen_US
dc.contributor.corporateNaval Postgraduate School (U.S.)en_US
dc.contributor.departmentOperations Research (OR)en_US
dc.subject.authorlogistics and repair
dc.subject.authoradaptive control
dc.subject.authordynamic priorities
dc.subject.authorheavy-traffic asymptotics
dc.subject.authorflexible manufacturing


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