Energy Efficient Scheduling and Routing via Randomized Rounding

Evripidis Bampis (1) , Alexander Kononov (2) , Dimitrios Letsios (3, 1) , Giorgio Lucarelli (1) , Maxim Sviridenko (4)

1 RO - Recherche Opérationnelle
2 Sobolev Institute of Mathematics
3 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes
4 University of Warwick [Coventry]

We propose a unifying framework based on configuration linear programs and randomized rounding, for different energy optimization problems in the dynamic speed-scaling setting. We apply our framework to various scheduling and routing problems in heterogeneous computing and networking environments. We first consider the energy minimization problem of scheduling a set of jobs on a set of parallel speed-scalable processors in a fully heterogeneous setting. For both the preemptive-non-migratory and the preemptive-migratory variants, our approach allows us to obtain solutions of almost the same quality as for the homogeneous environment. By exploiting the result for the preemptive-non-migratory variant, we are able to improve the best known approximation ratio for the single processor non-preemptive problem. Furthermore, we show that our approach allows to obtain a constant-factor approximation algorithm for the power-aware preemptive job shop scheduling problem. Finally, we consider the min-power routing problem where we are given a network modeled by an undirected graph and a set of uniform demands that have to be routed on integral routes from their sources to their destinations so that the energy consumption is minimized. We improve the best known approximation ratio for this problem.

Mots clés: Energy; Scheduling; Speed Scaling

Domaines: Recherche opérationnelle [math.OC]

Evripidis Bampis, Alexander Kononov, Dimitrios Letsios, Giorgio Lucarelli, Maxim Sviridenko. Energy Efficient Scheduling and Routing via Randomized Rounding. ROADEF - 15ème congrès annuel de la Société française de recherche opérationnelle et d'aide à la décision, Société française de recherche opérationnelle et d'aide à la décision, Feb 2014, Bordeaux, France. ⟨hal-00946354⟩