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On the work load process in a general preemptive resume priority queue

Published online by Cambridge University Press:  14 July 2016

R. Schassberger
R. Schassberger*
Affiliation:
University of Calgary, Alberta, Canada
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Abstract

Consider the following queuing system: A sequence of customers arrive at a service unit in a recurrent stream. A customer is of priority k with probability πk , k = 1, …, n. A class i customer preempts service of class k, k > i. Interrupted service is resumed without loss or gain in service time. Service is FIFO within classes. Service times for class k are drawn from a general distribution function Bk (t).

Using the method of phases and a resolution technique from the theory of Markov processes we obtain Laplace transforms of various distributions.

Keywords

QUEUINGPREEMTIVE PRIORITIESWORK LOADBUSY PERIODSPHASE METHODRESOLUTION TECHNIQUE

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 9 , Issue 3 , June 1972 , pp. 588 - 603
Copyright
Copyright © Applied Probability Trust 1972 

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