Stability analysis of multiserver discrete-time queueing systems with renewal-type server interruptions

For many queueing systems, the server is not continuously available. Service interruptions may result from repair times after server failures, planned maintenance periods or periods during which customers from other queues are being served. These service interruptions cause an overall performance de...

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Bibliographic Details
Published inPerformance evaluation Vol. 68; no. 12; pp. 1261 - 1275
Main Authors Morozov, Evsey, Fiems, Dieter, Bruneel, Herwig
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.12.2011
Subjects
Customers
Interruption
Maintenance
Preempting
Queueing theory
Queues
Regenerative processes
Repair time
Server interruptions
Servers
Stability
Stability
Queueing theory
Server interruptions
Regenerative processes
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Summary:For many queueing systems, the server is not continuously available. Service interruptions may result from repair times after server failures, planned maintenance periods or periods during which customers from other queues are being served. These service interruptions cause an overall performance degradation which is most striking when interruptions can start while a customer is being served and his service has to start all over after the interruption. This is the so-called preemptive repeat service discipline. This paper investigates stability conditions for discrete-time queueing systems with preemptive server interruptions. Under renewal assumptions for arrival, service and interruption processes, sufficient conditions for the positive recurrence of the single-server and multiserver queueing processes are established for the preemptive repeat different and the preemptive resume service disciplines.
Bibliography:ObjectType-Article-2
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ISSN:0166-5316
1872-745X
DOI:10.1016/j.peva.2011.07.002