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A Scalable Sweep Algorithm for the Cumulative Constraint
INRIA, France.
INRIA, France.
RISE, Swedish ICT, SICS, Computer Systems Laboratory.ORCID iD: 0000-0003-3079-8095
2012 (English)Conference paper, Published paper (Refereed)
Abstract [en]

This paper presents a sweep based algorithm for the cumulative constraint, which can operate in filtering mode as well as in greedy assignment mode. Given n tasks, this algorithm has a worst-case time complexity of O(n 2). In practice, we use a variant with better average-case complexity but worst-case complexity of O(n 2 log n), which goes down to O(n log n) when all tasks have unit duration, i.e. in the bin-packing case. Despite its worst-case time complexity, this algorithm scales well in practice, even when a significant number of tasks can be scheduled in parallel. It handles up to 1 million tasks in one single cumulative constraint in both Choco and SICStus.

Place, publisher, year, edition, pages
Springer , 2012, 6. Vol. 7514, p. 439-454
Series
Lecture Notes in Computer Science
Keywords [en]
Average-case complexity, Bin-packing, Sweep algorithms, Time complexity, Worst-case complexity
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:ri:diva-24091DOI: 10.1007/978-3-642-33558-7_33Scopus ID: 2-s2.0-84868285670ISBN: 9783642335570 (print)OAI: oai:DiVA.org:ri-24091DiVA, id: diva2:1043170
Conference
18th International Conference on Principles and Practice of Constraint Programming, CP 2012; Quebec City, QC; Canada; 8 October 2012 through 12 October 2012
Projects
SICStus PrologAvailable from: 2016-10-31 Created: 2016-10-31 Last updated: 2023-05-05Bibliographically approved

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Publisher's full textScopushttp://dx.doi.org/10.1007/978-3-642-33558-7_33

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Carlsson, Mats

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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  • nn-NO
  • nn-NB
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Output format
  • html
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  • asciidoc
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