International Journal of Stochastic Analysis

International Journal of Stochastic Analysis / 2001 / Article

Open Access

Volume 14 |Article ID 921703 |

Bong Dae Choi, Yeong Cheol Kim, Yang Woo Shin, Charles E. M. Pearce, "The MX/G/1 queue with queue length dependent service times", International Journal of Stochastic Analysis, vol. 14, Article ID 921703, 21 pages, 2001.

The MX/G/1 queue with queue length dependent service times

Received01 Jan 1999
Revised01 Dec 2000


We deal with the MX/G/1 queue where service times depend on the queue length at the service initiation. By using Markov renewal theory, we derive the queue length distribution at departure epochs. We also obtain the transient queue length distribution at time t and its limiting distribution and the virtual waiting time distribution. The numerical results for transient mean queue length and queue length distributions are given.

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Related articles

No related content is available yet for this article.
 PDF Download Citation Citation
 Order printed copiesOrder

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.