# Coupled-Tasks in Presence of Bipartite Compatibilities Graphs

@inproceedings{Darties2014CoupledTasksIP, title={Coupled-Tasks in Presence of Bipartite Compatibilities Graphs}, author={Beno{\^i}t Darties and Gilles Simonin and Rodolphe Giroudeau and Jean-Claude K{\"o}nig}, booktitle={ISCO}, year={2014} }

We tackle the makespan minimization coupled-tasks problem in presence of incompatibility constraints. 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 the framework of classic complexity and approximation for which the compatibility graph is bipartite (star, chain, \(\ldots \)). In such context, we design efficient polynomial-time approximation algorithms according to different…

## 2 Citations

Approximation algorithm for constrained coupled-tasks scheduling problem

- Computer Science2014 International Conference on Control, Decision and Information Technologies (CoDIT)
- 2014

This work tackles the makespan minimization coupled-tasks problem in presence of compatibility constraints and proposes some complexity results according to several parameters and designs an efficient polynomial-time approximation algorithm.

Parameterized complexity of a coupled-task scheduling problem

- MathematicsJ. Sched.
- 2019

It is proved that it is fixed-parameter tractable ($$\mathsf {FPT}$$FPT) parameterized by k the standard parameter if the total duration of each task is bounded by a constant, whereas the problem becomes hard otherwise.

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