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dc.contributor.authorAtencia-McKillop, Ivan 
dc.date.accessioned2019-10-31T11:15:32Z
dc.date.available2019-10-31T11:15:32Z
dc.date.created2019
dc.date.issued2019-10-31
dc.identifier.urihttps://hdl.handle.net/10630/18688
dc.description.abstractThis paper considers a discrete-time retrial queueing system with movements. The arriving customers can opt to go directly to the server obtaining immediately their service or to join the orbit. In the first case, if the server is busy, the customer that is in the server is displaced to the orbit. The arrivals follow a geometrical law and the service times are general. We study the Markov chain underlying the considered queueing system obtaining the generating function of the number of customers in the orbit and in the system as well as the stationary distribution of the time that a customer spends in the server. We derive the stochastic decomposition law and as an application we give bounds for the proximity between the steady-state distributions for our queueing system and its corresponding standard system. At time m+ the system can be described by the process (Cm, ξm, Nm) where Cm denotes the state of the server, 0 or 1 according to whether the server is free or busy and Nm the number of repeated customers. If Cm = 1, then ξm represents the remaining service time of the customer currently being served.en_US
dc.description.sponsorshipUniversidad de Málaga. Campus de Excelencia Internacional Andalucía Techen_US
dc.language.isoengen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectColas de espera, Teoría deen_US
dc.subjectProgramación (Gestión)en_US
dc.subject.otherRetrial queueing systemen_US
dc.subject.otherDiscrete-timeen_US
dc.titleA retrial discrete-time queueing system with actions in the serveren_US
dc.typeinfo:eu-repo/semantics/conferenceObjecten_US
dc.centroEscuela de Ingenierías Industrialesen_US
dc.relation.eventtitleProblems of Applied Mathematics and Informaticsen_US
dc.relation.eventplaceLviv (Ucrania)en_US
dc.relation.eventdate24/09/2019en_US


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