dc.contributor
Centre de Recerca Matemàtica
dc.contributor.author
Morozov, Evsey
dc.date.accessioned
2010-06-17T07:32:21Z
dc.date.accessioned
2024-09-19T13:31:32Z
dc.date.available
2010-06-17T07:32:21Z
dc.date.available
2024-09-19T13:31:32Z
dc.identifier.uri
http://hdl.handle.net/2072/65543
dc.description.abstract
The work studies a general multiserver queue in which the service time of an arriving customer and the next interarrival period may depend on both the current waiting time and the server assigned to the arriving customer. Stability of the system is proved under general assumptions on the predetermined distributions describing the model. The proof exploits a combination of the Markov property of the workload process with a regenerative property of the process. The key idea leading to stability is a characterization of the limit behavior of the forward renewal process generated by regenerations. Extensions of the basic model are also studied.
cat
dc.format.extent
198593 bytes
dc.format.mimetype
application/pdf
dc.publisher
Centre de Recerca Matemàtica
ca
dc.relation.ispartofseries
Prepublicacions del Centre de Recerca Matemàtica;927
dc.rights
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
cat
dc.subject.other
Estabilitat
ca
dc.subject.other
Cues, Teoria de
ca
dc.title
A general multiserver state-dependent queueing system
ca
dc.type
info:eu-repo/semantics/preprint
ca
