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dc.contributor.authorLorente Marín, Ana 
dc.contributor.authorSánchez Pastor, Mª Sagrario 
dc.date.accessioned2018-03-19T11:07:08Z
dc.date.available2018-03-19T11:07:08Z
dc.date.issued2018-02
dc.identifier.issn2152-7385
dc.identifier.urihttp://hdl.handle.net/10259/4751
dc.description.abstractThis paper analyzes a discrete-time Geoa/Geob/1 queuing system with batch arrivals of fixed size a , and batch services of fixed size b. Both arrivals and services occur randomly following a geometric distribution. The steady-state queue length distribution is obtained as the solution of a system of difference equations. Necessary and sufficient conditions are given for the system to be stationary. Besides, the uniqueness of the root of the characteristic polynomial in the interval (0, 1) is proven which is the only root needed for the computation of the theoretical solution with the proposed procedure. The theoretical results are compared with the ones observed in some simulations of the queuing system under different sets of parameters. The agreement of the results encourages the use of simulation for more complex systems. Finally, we explore the effect of parameters on the mean length of the queue as well as on the mean waiting time.en
dc.format.mimetypeapplication/pdf
dc.language.isoenges
dc.publisherScientific Researchen
dc.relation.ispartofApplied Mathematics. 2018, V. 9, n. 2, p. 153-170en
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectDiscrete-Time Queuing Systemen
dc.subjectBatch Arrivalsen
dc.subjectBatch Servicesen
dc.subjectStationary Systemsen
dc.subject.otherMatemáticases
dc.subject.otherMathematicsen
dc.titleEffect of parameters on Geoa/Geob/1 Queues: theoretical analysis and simulation resultsen
dc.typeinfo:eu-repo/semantics/article
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.relation.publisherversionhttp://dx.doi.org/10.4236/am.2018.92011
dc.identifier.doi10.4236/am.2018.92011
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen


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