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The moments of the M/M/s queue length process

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorMarcellán Español, Francisco José
dc.contributor.authorPérez, G.
dc.date.accessioned2009-12-09T13:31:57Z
dc.date.available2009-12-09T13:31:57Z
dc.date.issued2003-07
dc.description24 pages, no figures.-- MSC2000 codes: 60K25, 68J80, 42C05.
dc.descriptionMR#: MR1998083 (2004e:60152)
dc.descriptionZbl#: Zbl 1035.90023
dc.description.abstractA representation for the moments of the number of customers in a M/M/s queueing system is deduced from the Karlin and McGregor representation for the transition probabilities. This representation allows us to study the limit behavior of the moments as time tends to infinity. We study some consequences of the representation for the mean.
dc.description.sponsorshipThe work of the first author (F.M.) was supported by Direccíon General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant BFM 2000-0206-C04-01 and INTAS 2000-272.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationQueueing Systems, 2003, vol. 44, n. 3, p. 281-304
dc.identifier.doi10.1023/A:1024718709227
dc.identifier.issn0257-0130 (Print)
dc.identifier.issn1572-9443 (Online)
dc.identifier.urihttps://hdl.handle.net/10016/5990
dc.language.isoeng
dc.publisherSpringer
dc.relation.publisherversionhttp://dx.doi.org/10.1023/A:1024718709227
dc.rights© Springer
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherM/M/s queue
dc.subject.otherMoments
dc.subject.otherLimit behavior
dc.subject.otherOrthogonal polynomials
dc.subject.otherTransient behavior
dc.titleThe moments of the M/M/s queue length process
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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