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A Scalable Sweep Algorithm for the "cumulative" Constraint
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
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:ri:diva-24091DOI: 10.1007/978-3-642-33558-7_33OAI: oai:DiVA.org:ri-24091DiVA, id: diva2:1043170
Conference
CP
Projects
SICStus Prolog
Available from: 2016-10-31 Created: 2016-10-31 Last updated: 2018-01-13Bibliographically approved

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