# Scheduling stretched coupled-tasks with compatibilities constraints : model, complexity and approximation results for some class of graphs

@inproceedings{Darties2014SchedulingSC, title={Scheduling stretched coupled-tasks with compatibilities constraints : model, complexity and approximation results for some class of graphs}, author={Beno{\^i}t Darties and Rodolphe Giroudeau and Jean-Claude K{\"o}nig and Gilles Simonin}, year={2014} }

We tackle the makespan minimization coupled-tasks problem in presence of compatibility constraints. In particular, we focus on stretched coupled-tasks, {\it i.e.}coupled-tasks having the same sub-tasks execution time and idle time duration. We study severals problems in frame works of classic complexity and approximation for which the compatibility graph $G_c$ is bipartite (star, chain, $\ldots$) In such context, we design some efficient polynomial-time approximation algorithms according to…

## 2 Citations

Coupled-Tasks in Presence of Bipartite Compatibilities Graphs

- Computer ScienceISCO
- 2014

This work tackles the makespan minimization coupled-tasks problem in presence of incompatibility constraints and designs efficient polynomial-time approximation algorithms according to different parameters of the scheduling problem.

Scheduling coupled-tasks with incompatibility constraint: a bin-packing related problem

- Computer Science
- 2014

We tackle the makespan minimization problem of coupled- tasks in presence of compatibility constraint. In particular, we focus on stretched coupled-tasks, i.e. coupled-tasks having the same sub-tasks…

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