NDLI: Online Scheduling of Precedence Constrained Tasks

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Leung, Joseph Y. T. Huo, Yumei
Copyright Year	2005
Abstract	A fundamental problem in scheduling theory is that of scheduling a set of n tasks, with precedence constraints, on $m \ge 1$ identical and parallel processors so as to minimize the makespan (schedule length). In the past, research has focused on the setting whereby all tasks are available for processing at the beginning (i.e., at time t = 0). In this article we consider the situation where tasks, along with their precedence constraints, are released at different times, and the scheduler has to make scheduling decisions without knowledge of future releases. In other words, the scheduler has to schedule tasks in an online fashion. We consider both preemptive and nonpreemptive schedules. We show that optimal online algorithms exist for some cases, while for others it is impossible to have one. Our results give a sharp boundary delineating the possible and the impossible cases.
Starting Page	743
Ending Page	762
Page Count	20
File Format	PDF
ISSN	00975397
DOI	10.1137/S0097539704444440
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	3
Volume Number	34
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-27
Access Restriction	Subscribed
Subject Keyword	precedence constraints outtrees online and offline scheduling schedule length parallel and identical processors preemptive and nonpreemptive scheduling intrees Scheduling theory, deterministic
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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