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Loss Probability of a Burst Arrival Finite Queue with Synchronized Service

Published online by Cambridge University Press:  27 July 2009

Masakiyo Miyazawa
Masakiyo Miyazawa
Affiliation:
Department of Information SciencesScience University of Tokyo Chiba, Japan
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Abstract

We are concerned with a burst arrival single-server queue, where arrivals of cells in a burst are synchronized with a constant service time. The main concern is with the loss probability of cells for the queue with a finite buffer. We analyze an embedded Markov chain at departure instants of cells and get a kind of lumpability for its state space. Based on these results, this paper proposes a computation algorithm for its stationary distribution and the loss probability. Closed formulas are obtained for the first two moments of the numbers of cells and active bursts when the buffer size is infinite.

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Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 6 , Issue 2 , April 1992 , pp. 201 - 216
Copyright
Copyright © Cambridge University Press 1992

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