Some complexity and approximation results for coupled-tasks scheduling problem according to topology

Benoit Darties; Rodolphe Giroudeau; Jean-Claude König; Gilles Simonin

doi:10.1051/ro/2016034

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arXiv · 1706.02214

Some complexity and approximation results for coupled-tasks scheduling problem according to topology

Benoit Darties·Rodolphe Giroudeau·Jean-Claude König·Gilles Simonin

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Abstract

We consider the makespan minimization coupled-tasks problem in presence of compatibility constraints with a specified topology. In particular, we focus on stretched coupled-tasks, i.e. coupled-tasks having the same sub-tasks execution time and idle time duration. We study several problems in framework of classic complexity and approximation for which the compatibility graph is bipartite (star, chain,. . .). In such a context, we design some efficient polynomial-time approximation algorithms for an intractable scheduling problem according to some parameters.

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Benoit Darties, Rodolphe Giroudeau, Jean-Claude König, Gilles Simonin. 2017-06-07. Some complexity and approximation results for coupled-tasks scheduling problem according to topology. https://doi.org/10.1051/ro%2F2016034

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