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The steady-state appearance of the M/G/1 queue under the discipline of shortest remaining processing time

Published online by Cambridge University Press:  01 July 2016

R. Schassberger
R. Schassberger*
Affiliation:
Technische Universität Braunschweig
*
∗Postal address: Institut für Mathematische Stochastik, Technische Universität Braunschweig, Postfach 3329, D-3300 Braunschweig, W. Germany.
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Abstract

For the queue M/G/1 under the discipline SRPT (shortest remaining processing time) the system state is taken to be the counting measure N which assigns to each Borel set A of R+ the number N(A) of customers present with residual service times taking values in A. A steady-state analysis is given for the corresponding Laplace functional. As a corollary, the steady-state number in queue is obtained in terms of its generating function.

Keywords

QUEUE DISCIPLINELAPLACE FUNCTIONALS
Type
Research Article
Information
Advances in Applied Probability , Volume 22 , Issue 2 , June 1990 , pp. 456 - 479
Copyright
Copyright © Applied Probability Trust 1990 

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References

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