Controlling and Assessing Correlations of Cost Matrices in Heterogeneous Scheduling

Louis-Claude Canon (1, 2) , Pierre-Cyrille Heam (1) , Laurent Philippe (1)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
2 ROMA - Optimisation des ressources : modèles, algorithmes et ordonnancement

This paper considers the problem of allocating independent tasks to unrelated machines such as to minimize the maximum completion time. Testing heuristics for this problem requires the generation of cost matrices that specify the execution time of each task on each machine. Numerous studies showed that the task and machine heterogeneities belong to the properties impacting heuristics performance the most. This study focuses on orthogonal properties, the average correlations between each pair of rows and each pair of columns, which is a proximity measure with uniform instances 1. Cost matrices generated with a novel generation method show the effect of these correlations on the performance of several heuristics from the literature. In particular, EFT performance depends on whether the tasks are more correlated than the machines and HLPT performs the best when both correlations are close to one.

Domaines: Informatique [cs]; Calcul parallèle, distribué et partagé [cs.DC]

Louis-Claude Canon, Pierre-Cyrille Heam, Laurent Philippe. Controlling and Assessing Correlations of Cost Matrices in Heterogeneous Scheduling. Euro-par 2016 - 22nd International Conference on Parallel and Distributed Computing, Aug 2016, Grenoble, France. pp.133 - 145. ⟨hal-01664639⟩