Use this identifier to quote or link this document: http://hdl.handle.net/2072/65543

A general multiserver state-dependent queueing system
Morozov, Evsey
Centre de Recerca Matemàtica
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.
2010-02
519.1 - Teoria general de l'anàlisi combinatòria. Teoria de grafs
Estabilitat
Cues, Teoria de
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Prepublicacions del Centre de Recerca Matemàtica;927
         

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