Time dependent analysis of M/M/1 queue with server vacations and a waiting server

Authors:
Kaliappan Kalidass;Kasturi Ramanath
Affiliations:
Madurai Kamaraj UNiversity, Madurai, Tamil Nadu, India;Madurai Kamaraj UNiversity, Madurai, Tamil Nadu, India
Venue:
Proceedings of the 6th International Conference on Queueing Theory and Network Applications
Year:
2011

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Abstract

In this paper, we have obtained explicit expressions for the time dependent probabilities of the M/M/1 queue with server vacations under a waiting server. The corresponding steady state probabilities have been obtained. We also obtain the time dependent performance measures of the systems. Numerical illustrations are provided to examine the sensitivity of the system state probabilities to changes in the parameters of the system.