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Parallel Machine Scheduling with Uncertain Communication Delays

Published online by Cambridge University Press:  15 November 2003

Aziz Moukrim ,
Eric Sanlaville  and
Frédéric Guinand
Aziz Moukrim
Affiliation:
HeuDiaSyC, UMR 6599 du CNRS, Université de Technologie de Compiègne, Centre de Recherches de Royallieu, BP. 20529, 60205 Compiègne Cedex, France; Aziz.Moukrim@hds.utc.fr.
Eric Sanlaville
Affiliation:
LIMOS, UMR 6158 du CNRS, Université de Clermont-Ferrand 2, Campus des Cézeaux, 63177 Aubière Cedex, France; Eric.Sanlaville@math.univ-bpclermont.fr.
Frédéric Guinand
Affiliation:
LIH, Université du Havre, 25 rue Philippe Lebon, BP. 5405, 76058 Le Havre Cedex, France; Frederic.Guinand@univ-lehavre.fr.
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Abstract

This paper is concerned with scheduling when the data are not fully knownbefore the execution. In that case computing a complete schedule off-linewith estimated data may lead to poor performances. Some flexibility must beadded to the scheduling process. We propose to start from a partial schedule and to postpone the complete scheduling until execution, thus introducing what we call a stabilizationscheme. This is applied to the m machine problem with communicationdelays: in our model an estimation of the delay is known at compile time; but disturbances due to network contention, link failures, ... may occur at execution time. Hence the processor assignment and a partial sequencing on each processor are determined off-line. Some theoreticalresults for tree-like precedence constraints and an experimental study show the interest of this approach compared with fully on-line scheduling.

Keywords

Parallel computingscheduling withcommunicationdelaysdisturbances on communication delayslistschedulingflexibility.
Type
Research Article
Information
RAIRO - Operations Research , Volume 37 , Issue 1 , January 2003 , pp. 1 - 16
Copyright
© EDP Sciences, 2003

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