NDLI: Scheduling Tasks with AND/OR Precedence Constraints

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Gillies, Donald W. Liu, Jane W.-S.
Copyright Year	1995
Abstract	In traditional precedence-constrained scheduling a task is ready to execute when all its predecessors are complete. We call such a task an AND task. In this paper we allow certain tasks to be ready when just one of their predecessors is complete. These tasks are known as OR tasks. We analyze the complexity of two types of real-time AND/OR task scheduling problems. In the first type of problem, all the predecessors of every OR task must eventually be completed, but in the second type of problem, some OR predecessors may be left unscheduled. We show that most problems involving tasks with individual deadlines are NP-complete, and then present two priority-driven heuristic algorithms to minimize completion time on a multiprocessor. These algorithms provide the same level of worst-case performance as some previous priority-driven algorithms for scheduling AND-only task systems.
Starting Page	797
Ending Page	810
Page Count	14
File Format	PDF
ISSN	00975397
DOI	10.1137/S0097539791218664
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	4
Volume Number	24
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-31
Access Restriction	Subscribed
Subject Keyword	list scheduling minimal length schedules algorithm analysis Analysis of algorithms and problem complexity nonpreemptive scheduling Applications of mathematical programming multiprocessor systems Performance evaluation; queueing; scheduling NP-complete problems Scheduling theory, deterministic imprecise computation
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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