Razgon, Igor (2005) Complexity analysis of heuristic CSP search algorithms. In: Hnich, B. and Carlsson, M. and Fages, F. and Rossi, F. (eds.) Recent Advances in Constraints: CSCLP 2005. Lecture Notes in Computer Science 3978. Springer, pp. 88-99. ISBN 9783540342151.
Abstract
CSP search algorithms are exponential in the worst-case. A trivial upper bound on the time complexity of CSP search algorithms is O *(d n ), where n and d are the number of variables and the maximal domain size of the underlying CSP, respectively. In this paper we show that a combination of heuristic methods of constraint solving can reduce the time complexity. In particular, we prove that the FC-CBJ algorithm combined with the fail-first variable ordering heuristic (FF) achieves time complexity of O *((d – 1) n ), where n and d are the number of variables and the maximal domain size of the given CSP, respectively. Furthermore, we show that the combination is essential because neither FC-CBJ alone nor FC with FF achieve the above complexity. The proposed results are interesting because they establish connection between theoretical and practical approaches to CSP research.
Metadata
| Item Type: | Book Section |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Sarah Hall |
| Date Deposited: | 11 Oct 2021 12:10 |
| Last Modified: | 09 Aug 2023 12:52 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/46244 |
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