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Messages Scheduling for Data Redistribution between Clusters

Identifieur interne : 003163 ( Hal/Corpus ); précédent : 003162; suivant : 003164

Messages Scheduling for Data Redistribution between Clusters

Auteurs : Johanne Cohen ; Emmanuel Jeannot ; Nicolas Padoy

Source :

RBID : Hal:inria-00099574

English descriptors

Abstract

In this paper we study the general problem of parallel data redistribution over a network. Given a set of communications between two parallel machines interconnected by a backbone, we wish to minimize the total time required for the completion of all communications assuming that communications can be preempted and that preemption comes with an extra cost. Our problem, called {\em $k$-Preemptive bipartite scheduling (KPBS)} is proven to be \mbox{NP}-Complete. Moreover we prove that approximating KPBS problem within a ratio number smaller that $\frac{4}{3}$ is impossible unless $P=\mbox{NP}$. In spite of this negative result, we study a lower bound on the cost of KPBS problem in terms of its parameters, and we propose an approximation algorithm with ratio $2$ and fast heuristics.

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Hal:inria-00099574

Le document en format XML

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<div type="abstract" xml:lang="en">In this paper we study the general problem of parallel data redistribution over a network. Given a set of communications between two parallel machines interconnected by a backbone, we wish to minimize the total time required for the completion of all communications assuming that communications can be preempted and that preemption comes with an extra cost. Our problem, called {\em $k$-Preemptive bipartite scheduling (KPBS)} is proven to be \mbox{NP}-Complete. Moreover we prove that approximating KPBS problem within a ratio number smaller that $\frac{4}{3}$ is impossible unless $P=\mbox{NP}$. In spite of this negative result, we study a lower bound on the cost of KPBS problem in terms of its parameters, and we propose an approximation algorithm with ratio $2$ and fast heuristics.</div>
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<idno type="halRefHtml">Algorithms, models and tools for parallel computing on heterogeneous network - HeteroPar'03, workshop of SIAM PPAM 2003, Sep 2003, Czestochowa, Poland, 8 p, 2003</idno>
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<title xml:lang="en">Messages Scheduling for Data Redistribution between Clusters</title>
<author role="aut">
<persName>
<forename type="first">Johanne</forename>
<surname>Cohen</surname>
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<email>Johanne.Cohen@loria.fr</email>
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<author role="aut">
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<forename type="first">Emmanuel</forename>
<surname>Jeannot</surname>
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<orgName ref="#struct-364475"></orgName>
<affiliation ref="#struct-2346"></affiliation>
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<author role="aut">
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<forename type="first">Nicolas</forename>
<surname>Padoy</surname>
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<idno type="halAuthorId">99705</idno>
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<monogr>
<idno type="localRef">A03-R-259 || cohen03b</idno>
<meeting>
<title>Algorithms, models and tools for parallel computing on heterogeneous network - HeteroPar'03, workshop of SIAM PPAM 2003</title>
<date type="start">2003-09</date>
<settlement>Czestochowa, Poland</settlement>
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<date type="datePub">2003-09</date>
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<term xml:lang="en">algorithmes</term>
<term xml:lang="en">inaproximability</term>
<term xml:lang="en">algorithm</term>
<term xml:lang="en">redistribution</term>
<term xml:lang="en">np-complete</term>
<term xml:lang="en">np-complet</term>
<term xml:lang="en">inapproximation</term>
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<abstract xml:lang="en">In this paper we study the general problem of parallel data redistribution over a network. Given a set of communications between two parallel machines interconnected by a backbone, we wish to minimize the total time required for the completion of all communications assuming that communications can be preempted and that preemption comes with an extra cost. Our problem, called {\em $k$-Preemptive bipartite scheduling (KPBS)} is proven to be \mbox{NP}-Complete. Moreover we prove that approximating KPBS problem within a ratio number smaller that $\frac{4}{3}$ is impossible unless $P=\mbox{NP}$. In spite of this negative result, we study a lower bound on the cost of KPBS problem in terms of its parameters, and we propose an approximation algorithm with ratio $2$ and fast heuristics.</abstract>
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