Hostname: page-component-7dd5485656-j7khd Total loading time: 0 Render date: 2025-10-31T08:18:20.104Z Has data issue: false hasContentIssue false
  • English
  • Français

A discrete-time queueing network

Published online by Cambridge University Press:  14 July 2016

Jean Walrand
Jean Walrand*
Affiliation:
University of California, Berkeley
*
∗ Postal address: Department of Electrical Engineering and Computer Sciences and the Electronics Research Laboratory, University of California, Berkeley, CA 94720, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

A discrete-time network with multiple transitions is defined. It is characterized by the independence of the service processes at different nodes. That network is shown to have the familiar quasi-reversibility properties.

Keywords

REVERSIBILITYPRODUCT FORM

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 20 , Issue 4 , December 1983 , pp. 903 - 909
Copyright
Copyright © Applied Probability Trust 1983 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

Footnotes

This research was supported in part by the N.S.F. under Grant ECS-8205428.

References

[1] Daduna, H. and Schassberger, R. (1982) Networks of queues in discrete time. Preprint, Technische Universität Berlin.Google Scholar
[2] Kelly, F. P. (1979) Reversibility and Stochastic Networks. Wiley, New York.Google Scholar
[3] Kobayashi, H. (1975) On discrete-time processes in a packetized communication system. ALOHA System Technical Report B75–28, University of Hawaii.Google Scholar
[4] Schassberger, R. (1981) The doubly stochastic server: A time-sharing model. Z. Operat. Res. 25, 179–189.Google Scholar
[5] Walrand, J. (1983) A probabilistic look at networks of queues. IEEE Trans. Information Theory IT-29 (6).Google Scholar
[6] Walrand, J. and Varaiya, P. (1980) Interconnections of Markov chains and quasi-reversible queuing networks. Stoch. Proc. Appl. 10, 209–219.Google Scholar