Bi-Objective Approximation Scheme for Makespan and Reliability Optimization on Uniform Parallel Machines
Identifieur interne : 003E93 ( Main/Exploration ); précédent : 003E92; suivant : 003E94Bi-Objective Approximation Scheme for Makespan and Reliability Optimization on Uniform Parallel Machines
Auteurs : Emmanuel Jeannot [France] ; Erik Saule [France] ; Denis Trystram [France]Source :
Abstract
We study the problem of scheduling independent tasks on a set of related processors which have a probability of failure governed by an exponential law. We are interested in the bi-objective analysis, namely simultaneous optimization of the makespan and the reliability. We show that this problem can not be approximated by a single schedule. A similar problem has already been studied leading to a -approximation algorithm (i.e. for any fixed value of the makespan, the obtained solution is optimal on the reliability and no more than twice the given makespan). We provide an algorithm which has a much lower complexity. This solution is finally used to derive a (2 + ε, 1)-approximation of the Pareto set of the problem, for any ε> 0.
Url:
DOI: 10.1007/978-3-540-85451-7_94
Affiliations:
- France
- Auvergne-Rhône-Alpes, Grand Est, Lorraine (région), Rhône-Alpes
- Grenoble, Nancy
- Institut national polytechnique de Lorraine, Université Joseph Fourier, Université Nancy 2, Université Pierre-Mendès-France, Université de Grenoble, Université de Lorraine
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Le document en format XML
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National de Recherche en Informatique et en Automatique</orgName><orgName type="acronym">Inria</orgName><desc><address><addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.inria.fr/en/</ref></desc></org></tutelle><tutelle active="#struct-24471" type="direct"><org type="laboratory" xml:id="struct-24471" status="VALID"><orgName>Laboratoire d'Informatique de Grenoble</orgName><orgName type="acronym">LIG</orgName><desc><address><addrLine>UMR 5217 - Laboratoire LIG - 38041 Grenoble cedex 9 - France Tél. : +33 (0)4 76 51 43 61 - Fax : +33 (0)4 76 51 49 85</addrLine><country key="FR"></country></address><ref type="url">http://www.liglab.fr/</ref></desc><listRelation><relation active="#struct-3886" type="direct"></relation><relation active="#struct-51016" type="direct"></relation><relation active="#struct-300275" type="direct"></relation><relation name="UMR5217" active="#struct-441569" type="direct"></relation></listRelation></org></tutelle><tutelle active="#struct-3886" type="indirect"><org type="institution" xml:id="struct-3886" status="OLD"><orgName>Université Pierre Mendès France</orgName><orgName type="acronym">Grenoble 2 UPMF</orgName><date type="end">2015-12-31</date><desc><address><addrLine>BP 47 - 38040 Grenoble Cedex 9</addrLine><country key="FR"></country></address><ref type="url">http://www.upmf-grenoble.fr/</ref></desc></org></tutelle><tutelle active="#struct-51016" type="indirect"><org type="institution" xml:id="struct-51016" status="OLD"><orgName>Université Joseph Fourier</orgName><orgName type="acronym">UJF</orgName><date type="end">2015-12-31</date><desc><address><addrLine>BP 53 - 38041 Grenoble Cedex 9</addrLine><country key="FR"></country></address><ref type="url">http://www.ujf-grenoble.fr/</ref></desc></org></tutelle><tutelle active="#struct-300275" type="indirect"><org type="institution" xml:id="struct-300275" status="VALID"><orgName>Institut National Polytechnique de Grenoble (INPG)</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle><tutelle name="UMR5217" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</idno><orgName>Centre National de la Recherche Scientifique</orgName><orgName type="acronym">CNRS</orgName><date type="start">1939-10-19</date><desc><address><country key="FR"></country></address><ref type="url">http://www.cnrs.fr/</ref></desc></org></tutelle></tutelles></hal:affiliation><country>France</country><placeName><settlement type="city">Grenoble</settlement><region type="region" nuts="2">Auvergne-Rhône-Alpes</region><region type="old region" nuts="2">Rhône-Alpes</region></placeName><orgName type="university">Université Pierre-Mendès-France</orgName><orgName type="institution" wicri:auto="newGroup">Université de Grenoble</orgName><placeName><settlement type="city">Grenoble</settlement><region type="region" nuts="2">Auvergne-Rhône-Alpes</region><region type="old region" nuts="2">Rhône-Alpes</region></placeName><orgName type="university">Université Joseph Fourier</orgName><orgName type="institution" wicri:auto="newGroup">Université de Grenoble</orgName></affiliation></author></analytic><idno type="DOI">10.1007/978-3-540-85451-7_94</idno></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">We study the problem of scheduling independent tasks on a set of related processors which have a probability of failure governed by an exponential law. We are interested in the bi-objective analysis, namely simultaneous optimization of the makespan and the reliability. We show that this problem can not be approximated by a single schedule. A similar problem has already been studied leading to a -approximation algorithm (i.e. for any fixed value of the makespan, the obtained solution is optimal on the reliability and no more than twice the given makespan). We provide an algorithm which has a much lower complexity. This solution is finally used to derive a (2 + ε, 1)-approximation of the Pareto set of the problem, for any ε> 0.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Auvergne-Rhône-Alpes</li><li>Grand Est</li><li>Lorraine (région)</li><li>Rhône-Alpes</li></region><settlement><li>Grenoble</li><li>Nancy</li></settlement><orgName><li>Institut national polytechnique de Lorraine</li><li>Université Joseph Fourier</li><li>Université Nancy 2</li><li>Université Pierre-Mendès-France</li><li>Université de Grenoble</li><li>Université de Lorraine</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Jeannot, Emmanuel" sort="Jeannot, Emmanuel" uniqKey="Jeannot E" first="Emmanuel" last="Jeannot">Emmanuel Jeannot</name></region><name sortKey="Saule, Erik" sort="Saule, Erik" uniqKey="Saule E" first="Erik" last="Saule">Erik Saule</name><name sortKey="Trystram, Denis" sort="Trystram, Denis" uniqKey="Trystram D" first="Denis" last="Trystram">Denis Trystram</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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