Messages scheduling for data redistribution between clusters
Identifieur interne : 000592 ( PascalFrancis/Checkpoint ); précédent : 000591; suivant : 000593Messages scheduling for data redistribution between clusters
Auteurs : Johanne Cohen [France] ; Emmanuel Jeannot [France] ; Nicolas Padoy [France]Source :
- Lecture notes in computer science [ 0302-9743 ] ; 2004.
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- Pascal (Inist)
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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 k-Preemptive bipartite scheduling (KPBS) is proven to be NP-Complete. Moreover we prove that approximating KPBS problem within a ratio number smaller that 3/4 is impossible unless P = 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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<front><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 k-Preemptive bipartite scheduling (KPBS) is proven to be NP-Complete. Moreover we prove that approximating KPBS problem within a ratio number smaller that 3/4 is impossible unless P = 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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