Improved algorithms for the global cardinality constraint

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3258, Issue , 2004, Pages 542-556

  Quimper, Claude Guy ^a   López Ortiz, Alejandro ^a   Van Beek, Peter ^a   Golynski, Alexander ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER PROGRAMMING;

CARDINALITIES; CONSTANT TIME; DEPENDENT VARIABLES; DOMAIN CONSISTENCY; GLOBAL CARDINALITY CONSTRAINT; NP-HARD;

CONSTRAINT THEORY;

EID: 35048839324     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-30201-8_40     Document Type: Article

References (15)

1. R. K. Ahuja, T. L. Magnanti, and J. B. Orlin Network Flows: Theory, Algorithms, and Applications. Prentice Hall, first edition, 1993.
2. P. Hall. On representatives of subsets. J. of the London Mathematical Society, pages 26-30, 1935.
3. 5/2 algorithm for maximum matchings in bipartite graphs SIAM Journal of Computing 2:225-231
4. ILOG S. A. ILOG Solver 4.2 user's manual, 1998.
5. C.-G. Quimper, P. van Beek, A. López-Ortiz, A. Golynski, and S. B. Sadjad. An efficient bounds consistency algorithm for the global cardinality constraint. CP-2003 and Extended Report CS-2003-10, 2003.
6. I. Katriel, and S. Thiel. Fast Bound Consistency for the Global Cardinality Constraint CP-2003, 2003.
7. M. Leconte. A bounds-based reduction scheme for constraints of difference. In the Constraint-96 Int'l Workshop on Constraint-Based Reasoning. 19-28, 1996.
8. J.-C. Régin. A filtering algorithm for constraints of difference in CSPs. In AAAI-1994, pages 362-367.
9. J.-C. Régin. Generalized arc consistency for global cardinality constraint. In AAAI-1996, pages 209-215.
10. J.-C. Régin and J.-F. Puget. A filtering algorithm for global sequencing constraints. In CP-1997, pages 32-46.
11. K. Stergiou and T. Walsh. The difference all-difference makes. In IJCAI-1999, pages 414-419.
12. R. Tarjan Depth-first search and linear graph algorithms. SIAM Journal of Computing 1:146-160.
13. P. Van Hentenryck, L. Michel, L. Perron, and J.-C. Régin. Constraint programming in OPL. In PPDP-1999, pages 98-116.
14. P. Van Hentenryck, H. Simonis, and M. Dincbas. Constraint satisfaction using constraint logic programming. Artificial Intelligence, 58:113-159, 1992.
15. J.-C. Régin and J.-F. Puget. A filtering algorithm for global sequencing constraints. In CP-1997, pages 32-46.