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Some decomposition formulae for M/M/r/r+ d queues with constant retrial rate

dc.contributor.authorGómez-Corral, Antonio
dc.contributor.authorRamalhoto, M.F.
dc.date.accessioned2023-06-20T19:17:16Z
dc.date.available2023-06-20T19:17:16Z
dc.date.issued1998
dc.description.abstractThe M/M/r/r-d queue with constant retrial rate has many important applications in teletraffic theory and computer and communication networks. An analytical solution of this queue is difficult and would not necessarily lend itself to numerical implementation in the case r+≥ 3. In this paper, we extend the decomposition formulae for the stationary distributions of the standard M/M/r/r+d queue to the M/M/r/r+d queue with constant retrial rate. In the case r+< 3, we show that the stationary distributions of the number of customers in orbit and the total number of servers and waiting positions occupied can be expressed as mixtures of two random variables weighted by the probability of entering the orbit. In the case r+≥ 3, we propose and heuristically explore decomposition formulae for the stationary distribution of the number of customers in orbit
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/29569
dc.identifier.doi10.1080/15326349808807463
dc.identifier.issn1532-6349
dc.identifier.officialurlhttp://www.tandfonline.com/doi/abs/10.1080/15326349808807463#.VS080fmsW0I
dc.identifier.relatedurlhttp://www.tandfonline.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59483
dc.issue.number1-2
dc.journal.titleCommunications in Statistics. Stochastic Models
dc.page.final145
dc.page.initial123
dc.publisherTaylor & Francis Group
dc.rights.accessRightsmetadata only access
dc.subject.cdu519.21
dc.subject.keywordErlang loss-delay queue
dc.subject.keywordRetrial queue
dc.subject.keywordStationary distribution
dc.subject.keywordDecomposition formula
dc.subject.keywordProbability of entering the orbit
dc.subject.ucmProbabilidades (Matemáticas)
dc.titleSome decomposition formulae for M/M/r/r+ d queues with constant retrial rate
dc.typejournal article
dc.volume.number14
dspace.entity.typePublication

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