Compaction of Schedules and a Two-Stage Approach for Duplication-Based DAG Scheduling

Many DAG scheduling algorithms generate schedules that require prohibitively large number of processors. To address this problem, we propose a generic algorithm, SC, to minimize the processor requirement of any given valid schedule. SC preserves the schedule length of the original schedule and reduc...

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Bibliographic Details
Published in:IEEE transactions on parallel and distributed systems Vol. 20; no. 6; pp. 857 - 871
Main Authors: Bozdag, D., Ozguner, F., Catalyurek, U.V.
Format: Journal Article
Language:English
Published: New York IEEE 01.06.2009
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Compaction
Complexity
Costs
Database systems
Employment
Image processing
Merging
Multiprocessing systems
multiprocessor systems
Partitioning algorithms
Processor scheduling
Processors
Reproduction
Schedules
Scheduling
Scheduling algorithm
Scheduling algorithms
Scheduling and task partitioning
Studies
task duplication
Tasks
ISSN:1045-9219, 1558-2183
Online Access:Get full text
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Summary:Many DAG scheduling algorithms generate schedules that require prohibitively large number of processors. To address this problem, we propose a generic algorithm, SC, to minimize the processor requirement of any given valid schedule. SC preserves the schedule length of the original schedule and reduces processor count by merging processor schedules and removing redundant duplicate tasks. To the best of our knowledge, this is the first algorithm to address this highly unexplored aspect of DAG scheduling. On average, SC reduced the processor requirement 91, 82, and 72 percent for schedules generated by PLW, TCSD, and CPFD algorithms, respectively. SC algorithm has a low complexity (O{N} 3 ) compared to most duplication-based algorithms. Moreover, it decouples processor economization from schedule length minimization problem. To take advantage of these features of SC, we also propose a scheduling algorithm SDS, having the same time complexity as SC. Our experiments demonstrate that schedules generated by SDS are only 3 percent longer than CPFD (O{N} 4 ), one of the best algorithms in that respect. SDS and SC together form a two-stage scheduling algorithm that produces schedules with high quality and low processor requirement, and has lower complexity than the comparable algorithms that produce similar high-quality results.
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ISSN:1045-9219
1558-2183
DOI:10.1109/TPDS.2008.260