The Queue Length Distributions in the Finite Buffer Bulk-Service MAP/G/1 Queue with Multiple Vacations

• Autores: U.C. Gupta, K. Sikdar
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 13, Nº. 1, 2005, págs. 75-104
• Idioma: inglés
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• Resumen

  • We consider a finite buffer batch service queueing system with multiple vacations wherein the input process is Markovian arrival process (MAP). The server leaves for a vacation as soon as the system empties and is allowed to take repeated (multiple) vacations. The service- and vacation- times are arbitrarily distributed. We obtain the queue length distributions at service completion, vacation termination, departure, arbitrary and pre-arrival epochs. Finally, some performance measures such as loss probability, average queue lengths are discussed. Computational procedure has been given when the service- and vacation- time distributions are of phase type (PH-distribution).