A single server queue with service interruptions

A single server queue with service interruptions

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Article ID: iaor20002514
Country: United States
Volume: 26
Issue: 3/4
Start Page Number: 285
End Page Number: 300
Publication Date: Nov 1997
Journal: Queueing Systems
Authors: ,
Abstract:

In this paper we characterize the queue-length distribution as well as the waiting time distribution of a single-server queue which is subject to service interruptions. Such queues arise naturally in computer and communication problems in which customers belong to different classes and share a common server under some complicated service discipline. In such queues, the viewpoint of a given class of customers is that the server is not available for providing service some of the time, because it is busy serving customers from a different class. A natural special case of these queues is the class of preemptive priority queues. In this paper, we consider arrivals according the Markovian Arrival Process and the server is not available for service at certain times. The service times are assumed to have a general distribution. We provide numerical examples to show that our methods are computationally feasible.

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