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

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of applied mathematics and stochastic analysis 2001-01, Vol.14 (4), p.399-419
Main Authors: Choi, Bong Dae, Kim, Yeong Cheol, Shin, Yang Woo, Pearce, Charles E M
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1048-9533
1687-2177
DOI:10.1155/S104895330100034