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ON THE LAW OF THE iTH WAITING TIME IN A BUSY PERIOD OF G/M/c QUEUES
Published online by Cambridge University Press: 18 December 2007
Abstract
We use induction to derive the distribution of the waiting time of the ith waiting customer in a busy period for a G/M/1 queue with a first come–first serve service. A trivial implication gives the law for the ith waiting time in a busy period for a G/M/c queue. Finally, we use the Lindley recursion to relate our results to the distribution of random walks.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 22 , Issue 1 , January 2008 , pp. 75 - 80
- Copyright
- Copyright © Cambridge University Press 2008
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