| Article ID: | iaor20062946 |
| Country: | Netherlands |
| Volume: | 34 |
| Issue: | 3 |
| Start Page Number: | 349 |
| End Page Number: | 354 |
| Publication Date: | May 2006 |
| Journal: | Operations Research Letters |
| Authors: | Griffiths J.D., Williams J.E., Leonenko G.M. |
| Keywords: | M/E/1 queues |
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.