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SOJOURN TIMES IN THE M/G/1 FB QUEUE WITH LIGHT-TAILED SERVICE TIMES

Published online by Cambridge University Press:  22 June 2005

M. Mandjes  and
M. Nuyens
M. Mandjes
Affiliation:
CWI, Amsterdam, The Netherlands, and, KdV Institute for Mathematics, University of Amsterdam, Amsterdam, The Netherlands, E-mail: [email protected]
M. Nuyens
Affiliation:
Department of Mathematics, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands, E-mail: [email protected]
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Abstract

The asymptotic decay rate of the sojourn time of a customer in the stationary M/G/1 queue under the foreground–background (FB) service discipline is studied. The FB discipline gives service to those customers that have received the least service so far. We prove that for light-tailed service times, the decay rate of the sojourn time is equal to the decay rate of the busy period. It is shown that FB minimizes the decay rate in the class of work-conserving disciplines.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 19 , Issue 3 , July 2005 , pp. 351 - 361
Copyright
© 2005 Cambridge University Press

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References

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