NDLI: Arc-B-consistency of the Inter-distance Constraint

Content Provider	Springer Nature Link
Author	Artiouchine, Konstantin Baptiste, Philippe
Copyright Year	2006
Abstract	We study the “inter-distance constraint,” also known as the global minimum distance constraint, that ensures that the distance between any pair of variables is at least equal to a given value. When this value is 1, the inter-distance constraint reduces to the all-different constraint. We introduce an algorithm to propagate this constraint and we show that, when variables domains are intervals, our algorithm achieves arc-B-consistency. It provides tighter bounds than generic scheduling constraint propagation algorithms (like edge-finding) that could be used to capture this constraint. The worst case complexity of the algorithm is cubic but it behaves well in practice and it drastically reduces the search space. Experiments on special Job-Shop problems and on an Air-Traffic problem known as the “Runway Sequencing” problem.
Starting Page	3
Ending Page	19
Page Count	17
File Format	PDF
ISSN	13837133
Journal	Constraints
Volume Number	12
Issue Number	1
e-ISSN	15729354
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2006-12-02
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Inter-distance constraint Arc-B-consistency Edge-finding Operations Research/Decision Theory Optimization Computing Methodologies Artificial Intelligence (incl. Robotics)
Content Type	Text
Resource Type	Article
Subject	Discrete Mathematics and Combinatorics Artificial Intelligence Computational Theory and Mathematics Software

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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