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The impact of self-generation of priorities on multi-server queues with finite capacity

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dc.contributor.authorGómez-Corral, Antonio
dc.contributor.authorKrishnamoorthy, A.
dc.contributor.authorNarayanan, V.C.
dc.date.accessioned2023-06-20T09:36:12Z
dc.date.available2023-06-20T09:36:12Z
dc.date.issued2005-03-02
dc.description.abstractThis paper deals with multi-server queues with a finite buffer of size N in which units waiting for service generate into priority at a constant rate, independently of other units in the buffer. At the epoch of a unit's priority generation, the unit is immediately taken for service if there is one unit in service that did not generate into priority while waiting; otherwise such a unit leaves the system in search of immediate service elsewhere. The arrival stream Of units is a Markovian arrival process (MAP) and service requirements are of phase (PH) type. Our interest is in the continuous-time Markov chain describing the state of the queue at arbitrary times, which constitutes a finite quasi-birth-and-death (QBD) process. We give formulas well suited for numerical computation for a variety of performance measures, including the blocking probability, the departure process, and the stationary distributions of the system state at pre-arrival epochs, at post-departure epochs and at epochs at which arriving units are lost. Illustrative numerical examples show the effect of several parameters on certain probabilistic descriptors of the queue for various levels of congestion.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGINV
dc.description.sponsorshipNBHM (DAE)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15624
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dc.identifier.doi10.1081/STM-200056015
dc.identifier.issn1532-6349
dc.identifier.officialurlhttp://www.tandfonline.com/doi/pdf/10.1081/STM-200056015
dc.identifier.relatedurlhttp://www.tandfonline.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50010
dc.journal.titleStochastic Models
dc.language.isoeng
dc.page.final447
dc.page.initial427
dc.publisherTaylor & Francis
dc.relation.projectIDBFM2002-02189
dc.relation.projectID48/5/2003/R&DII/3269
dc.rights.accessRightsrestricted access
dc.subject.cdu519.216
dc.subject.keywordFinite-buffer
dc.subject.keywordMarkovian arrival process
dc.subject.keywordMulti-server queue
dc.subject.keywordPhase type distribution
dc.subject.keywordPriority queue
dc.subject.keywordQuasi-birth-and-death process.
dc.subject.ucmProcesos estocásticos
dc.subject.unesco1208.08 Procesos Estocásticos
dc.titleThe impact of self-generation of priorities on multi-server queues with finite capacity
dc.typejournal article
dc.volume.number21
dspace.entity.typePublication
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