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Tail asymptotics for processor-sharing queues

Part of: Special processes Computer system organization Operations research and management science

Published online by Cambridge University Press:  01 July 2016

Fabrice Guillemin ,
Philippe Robert  and
Bert Zwart
Fabrice Guillemin*
Affiliation:
France Télécom
Philippe Robert*
Affiliation:
INRIA-Rocquencourt
Bert Zwart*
Affiliation:
Eindhoven University of Technology
*
∗ Postal address: France Télécom R&D, 2, Avenue Pierre Marzin, 22300 Lannion, France. Email address: [email protected]
∗∗ Postal address: INRIA-Rocquencourt, RAP project, Domaine de Voluceau, 78153 Le Chesnay, France. Email address: [email protected]
∗∗∗ Postal address: Eindhoven University of Technology, Department of Mathematics and Computer Science, HG 9.35, PO Box 513, 5600 MB Eindhoven, The Netherlands. Email address: [email protected]
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Abstract

The basic queueing system considered in this paper is the M/G/1 processor-sharing queue with or without impatience and with finite or infinite capacity. Under some mild assumptions, a criterion for the validity of the reduced-service-rate approximation is established when service times are heavy tailed. This result is applied to various models based on M/G/1 processor-sharing queues.

Keywords

Heavy tailprocessor sharingreduced-load approximation

MSC classification

Primary: 60K25: Queueing theory 68M10: Network design and communication
Secondary: 90B22: Queues and service
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 36 , Issue 2 , June 2004 , pp. 525 - 543
Copyright
Copyright © Applied Probability Trust 2004 

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