The transient solution to M/Ek/1 queue

Authors:
J. D. Griffiths;G. M. Leonenko;J. E. Williams
Affiliations:
Cardiff School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, UK;Cardiff School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, UK;Cardiff School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, UK
Venue:
Operations Research Letters
Year:
2006

Citing 2
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Time dependent analysis of M/M/1 queue with server vacations and a waiting server

Proceedings of the 6th International Conference on Queueing Theory and Network Applications

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Abstract

The single-channel queueing equations considered in this paper are characterised by Poisson-distributed arrivals and Erlang service times. The transient phase probabilities are obtained in terms of a new generalisation of the modified Bessel function, and the mean waiting time in the queue is evaluated.