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Six ways of integrating symmetries within non-overlapping constraints
RISE, Swedish ICT, SICS. Computer Systems Laboratory.
RISE, Swedish ICT, SICS. Computer Systems Laboratory.
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Number of Authors: 6
2009 (English)Conference paper, (Refereed)
Abstract [en]

This paper introduces six ways for handling a chain of lexicographic ordering (lex-chain) constraint between the origins of identical orthotopes (e.g., rectangles, boxes, hyper-rectangles) subject to the fact that they should not pairwise overlap. While the first two ways deal with the integration of a lex-chain constraint within a generic geometric constraint kernel, the four latter ways deal with the conjunction of a lex-chain constraint and a non-overlapping or a cumulative constraint. Experiments on academic two and three dimensional placement problems as well as on industrial problems show the benefit of such a strong integration of symmetry breaking constraints and non-overlapping ones.

Place, publisher, year, edition, pages
2009, 1. , 15 p.
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:ri:diva-23549DOI: 10.1007/978-3-642-01929-6_3OAI: oai:DiVA.org:ri-23549DiVA: diva2:1042625
Conference
CP-AI-OR 2009
Available from: 2016-10-31 Created: 2016-10-31Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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