A Fixed-Parameter Algorithm for Scheduling Unit dependent Tasks with Unit Communication Delays

Ning Tang (1, 2) , Alix Munier Kordon (2)

1 Peking University [Beijing]
2 ALSOC - Architecture et Logiciels pour Systèmes Embarqués sur Puce

This paper considers the minimization of the makespan for a set of dependent tasks with unit duration and unit communication delays. Given an upper bound of the makespan, release dates and deadlines of the tasks can be computed. Time windows are defined accordingly. We prove that our scheduling problem is fixed-parameter tractable; the parameter is the maximum number of tasks that are schedulable at the same time considering time windows. A fixed-parameter algorithm based on a dynamic programming approach is developed and proved to solve this optimization problem. This is, as far as we know, the first fixed-parameter algorithm for a scheduling problem with communication delays.

Mots clés: scheduling; communication delays; makespan; fixed-parameter algorithm

Domaines: Informatique [cs]

Ning Tang, Alix Munier Kordon. A Fixed-Parameter Algorithm for Scheduling Unit dependent Tasks with Unit Communication Delays. Euro-Par 2021 - 27th International European Conference on Parallel and Distributed Computing, Aug 2021, Lisbon, Portugal. pp.105-119, ⟨10.1007/978-3-030-85665-6_7⟩. ⟨hal-03816158⟩