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Queues with delayed feedback

Published online by Cambridge University Press:  01 July 2016

Robert D. Foley  and
Ralph L. Disney
Robert D. Foley*
Affiliation:
Virginia Polytechnic Institute and State University
Ralph L. Disney*
Affiliation:
Virginia Polytechnic Institute and State University
*
∗Postal address: Department of Industrial Engineering and Operations Research, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, U.S.A.
∗Postal address: Department of Industrial Engineering and Operations Research, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, U.S.A.
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Abstract

Queues with delayed feedback have been little studied in queueing theory. Presented here is a rather complete discussion of such problems including queue length processes, busy period processes and several customer flow processes (e.g., departure processes). The case in which the delay mechanism is an M-server queue is studied in detail but it is shown later that many of the results carry over to a more general delay mechanism.

Keywords

M/G/1 QUEUES WITH FEEDBACKDELAYED FEEDBACKQUEUEBUSY PERIODMARKOV RENEWAL PROCESSESDEPARTURE PROCESSQUEUEING NETWORK
Type
Research Article
Information
Advances in Applied Probability , Volume 15 , Issue 1 , March 1983 , pp. 162 - 182
Copyright
Copyright © Applied Probability Trust 1983 

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