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Bicriteria scheduling for contiguous and non contiguous parallel tasks

Fabien Baille (), Evripidis Bampis (), Christian Laforest () and Christophe Rapine ()

Annals of Operations Research, 2008, vol. 159, issue 1, 97-106

Abstract: We study the problem of scheduling on k identical machines a set of parallel tasks with release dates and deadlines in order to maximize simultaneously two criteria, namely the Size (number of scheduled tasks) and the Weight (sum of the weights of scheduled tasks). If no task requires more than half of the machines, we construct schedules that are simultaneously approximations for the Size and the Weight by combining two approximate schedules, one for each parameter. We obtain existence results and polynomial time bicriteria approximation algorithms in contiguous and non contiguous models. Copyright Springer Science+Business Media, LLC 2008

Keywords: Scheduling; Parallel tasks; Bicriteria approximation (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10479-007-0282-1

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