EURO 2025 Leeds
Abstract Submission

296. HLF optimality for scheduling a delayed precedence tree on m processors

Invited abstract in session MB-7: Advances in scheduling: From theory to practice, stream Scheduling and Project Management.

Monday, 10:30-12:00
Room: Clarendon GR.01

Authors (first author is the speaker)

1. Djamal Rebaine
Informatique et mathématique, Université du Québec à Chicoutimi
2. Alain Quilliot
IT, LIMOS

Abstract

In a valid schedule of delayed precedence task graph, if there is an arc between task i and task j, then the start time of task j is at least d time apart from the completion time of task i. We consider n unit execution time tasks, linked by a delayed precedence intree, to schedule on m processors so as to minimize the makespan. It is known in the literature the Highest Level First rule is optimal for m=1. We prove in this study this rule remains optimal even if m is greater than 1.

Keywords

Status: accepted


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