Inferring finite-time performance in the M/G/1 queueing model

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dc.contributor.authorJacobs, Patricia A.
dc.contributor.authorGaver, Donald Paul
dc.contributor.corporateOperations Research (OR)
dc.contributor.corporateGraduate School of Operational and Information Sciences (GSOIS)
dc.date1989-01
dc.date.accessioned2013-03-07T21:53:03Z
dc.date.available2013-03-07T21:53:03Z
dc.date.issued1989-01
dc.description.abstractA single server is approached by a stream of Poisson arrivals with known arrival rate. The service times are assumed to be independent identically distributed with unknown distribution. One has available a finite sample of service times obtained by observing the system. A nonparametric approach is taken towards estimating the expected waiting time encountered by a new arriving customer at a finite time t, EWt both for stable and unstable systems. The estimator uses approximations to EWt and an empirical version of the well known Laplace transform of EWt for the M/G/1 queue. Empirical transform; Laplace transform of the virtual waiting of the M/G/1 queue; Exponential approximation; Brownian motion with drift. (jes)en_US
dc.description.distributionstatementApproved for public release; distribution is unlimited.
dc.description.funderOffice of Naval Researchen_US
dc.description.sponsorshipPrepared for: Office of Naval Research Arlington, VAen_US
dc.description.urihttp://archive.org/details/inferringfinitet00jaco
dc.identifier.npsreportNPS-55-89-01
dc.identifier.urihttps://hdl.handle.net/10945/29926
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. Copyright protection is not available for this work in the United States.en_US
dc.subject.authorEmpirical Transformen_US
dc.subject.authorLaplace transform of the virtual waiting of the M/G/l queueen_US
dc.subject.authorExponential Approximationen_US
dc.subject.authorBrownian motion with driften_US
dc.subject.authorEmpirical transformen_US
dc.subject.authorLaplace transform of the virtual waiting of the m/g/l queueen_US
dc.subject.authorExponential approximationen_US
dc.subject.authorBrownian motion with driften_US
dc.subject.lcshNONPARAMETRIC STATISTICSen_US
dc.titleInferring finite-time performance in the M/G/1 queueing modelen_US
dc.typeTechnical Reporten_US
dspace.entity.typePublication
relation.isOrgUnitOfPublication58745961-c46a-45ad-ae9c-d139d1ba1041
relation.isOrgUnitOfPublicationdd7f1b97-9c92-402d-b910-27f080946cde
relation.isOrgUnitOfPublication.latestForDiscoverydd7f1b97-9c92-402d-b910-27f080946cde
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