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ON TRUNCATION PROPERTIES OF FINITE-BUFFER QUEUES AND QUEUEING NETWORKS

Published online by Cambridge University Press:  31 October 2000

Xiuli Chao  and
Masakiyo Miyazawa
Xiuli Chao
Affiliation:
Department of Industrial Engineering, North Carolina State University, Raleigh, NC 27695, E-mail: [email protected]
Masakiyo Miyazawa
Affiliation:
Department of Information Science, Science University of Tokyo, Noda, Chiba 278, Japan, E-mail: [email protected]
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Abstract

We show that several truncation properties of queueing systems are consequences of a simple property of censored stochastic processes. We first consider a discrete-time stochastic process and show that its censored process has a truncated stationary distribution. When the stochastic process has continuous time, we present a similar result under the additional condition that the process is locally balanced. We apply these results to single-server batch arrival batch service queues with finite buffers and queueing networks with finite buffers and batch movements, and extend the well-known results on truncation properties of the MX/G/1/k queues and queueing networks with jump-over blocking.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 14 , Issue 4 , October 2000 , pp. 409 - 423
Copyright
© 2000 Cambridge University Press

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