Approximation Algorithms for Energy, Reliability, and Makespan Optimization Problems - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Parallel Processing Letters Année : 2016

Approximation Algorithms for Energy, Reliability, and Makespan Optimization Problems

Résumé

We consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of identical processors, whose speed can be dynamically modified. It is also subject to failures: if a processor is slowed down to decrease the energy consumption, it has a higher chance to fail. Therefore, the scheduling problem requires us to re-execute or replicate tasks (i.e., execute twice the same task, either on the same processor, or on two distinct processors), in order to increase the reliability. It is a tri-criteria problem: the goal is to minimize the energy consumption, while enforcing a bound on the total execution time (the makespan), and a constraint on the reliability of each task. Our main contribution is to propose approximation algorithms for linear chains of tasks and independent tasks. For linear chains, we design a fully polynomial-time approximation scheme. However, we show that there exists no constant factor approximation algorithm for independent tasks, unless P=NP, and we propose in this case an approximation algorithm with a relaxation on the makespan constraint.
Fichier principal
Vignette du fichier
main.pdf (355.81 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01252333 , version 1 (07-01-2016)

Identifiants

  • HAL Id : hal-01252333 , version 1

Citer

Guillaume Aupy, Anne Benoit. Approximation Algorithms for Energy, Reliability, and Makespan Optimization Problems. Parallel Processing Letters, 2016, Parallel Processing Letters, 26 (01), pp.23. ⟨hal-01252333⟩
161 Consultations
141 Téléchargements

Partager

Gmail Facebook X LinkedIn More