An M/G/1 Retrial Queueing System with Two-Phase Service and Preemptive Resume

B. Kumar, A. Vijayakumar and D. Arivudainambi

Annals of Operations Research, 2002, vol. 113, issue 1, 79 pages

Abstract: An M/G/1 retrial queueing system with additional phase of service and possible preemptive resume service discipline is considered. For an arbitrarily distributed retrial time distribution, the necessary and sufficient condition for the system stability is obtained, assuming that only the customer at the head of the orbit has priority access to the server. The steady-state distributions of the server state and the number of customers in the orbit are obtained along with other performance measures. The effects of various parameters on the system performance are analysed numerically. A general decomposition law for this retrial queueing system is established. Copyright Kluwer Academic Publishers 2002

Keywords: retrial queues; preemptive resume; two-phase service; steady-state; system size; stochastic decomposition (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1020901710087

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