A two-phase queueing system with repeated attempts and Bernoulli vacation schedule

A two-phase queueing system with repeated attempts and Bernoulli vacation schedule

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Article ID: iaor200968917
Country: United Kingdom
Volume: 5
Issue: 4
Start Page Number: 392
End Page Number: 407
Publication Date: May 2009
Journal: International Journal of Operational Research
Authors: ,
Keywords: M/G/1 queues, vacation models, retrial queues
Abstract:

This paper deals with the steady-state behaviour of an M/G/1 queue with repeated attempts in which the server provides two phases of heterogeneous service under Bernoulli vacation schedule. We carry out an extensive analysis of the system, including existence of stationary regime, embedded Markov chain, steady-state distribution of the server state and the number of customer in the orbit and some system performance measures. This model generalises both the classical M/G/1 retrial queue and the M/G/1 queue with two phases of service and Bernoulli vacation model.

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