Abstract
We propose an adaptive heuristic for model restarts that aligns symmetry breaking with the dynamic branching heuristic. Experiments show that this method performs very well compared to other symmetry breaking methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Puget, J.F.: On the satisfiability of symmetrical constrained satisfaction problems. In: Komorowski, J., Raś, Z.W. (eds.) ISMIS 1993. LNCS (LNAI), vol. 689, pp. 350–361. Springer, Heidelberg (1993)
Shlyakhter, I.: Generating effective symmetry-breaking predicates for search problems. In: Proc. of Workshop on Theory and Applications of Satisfiability Testing, SAT 2001 (2001)
Flener, P., Frisch, A.M., Hnich, B., Kiziltan, Z., Miguel, I., Pearson, J., Walsh, T.: Breaking row and column symmetries in matrix models. In: Van Hentenryck, P. (ed.) CP 2002. LNCS, vol. 2470, pp. 462–477. Springer, Heidelberg (2002)
Law, Y., Lee, J.: Symmetry Breaking Constraints for Value Symmetries in Constraint Satisfaction. Constraints 11(2-3), 221–267 (2006)
Walsh, T.: Symmetry breaking using value precedence. In: Proc. of ECAI 2006, pp. 168–172 (2006)
Walsh, T.: General Symmetry Breaking Constraints. In: Benhamou, F. (ed.) CP 2006. LNCS, vol. 4204, pp. 650–664. Springer, Heidelberg (2006)
Walsh, T.: Breaking value symmetry. In: Proc. of the 23rd National Conf. on AI, pp. 1585–1588. AAAI (2008)
Gent, I., Smith, B.: Symmetry breaking in constraint programming. In: Proc. of ECAI 2000, pp. 599–603 (2000)
Fahle, T., Schamberger, S., Sellmann, M.: Symmetry breaking. In: Walsh, T. (ed.) CP 2001. LNCS, vol. 2239, pp. 93–107. Springer, Heidelberg (2001)
Hentenryck, P.V., Agren, M., Flener, P., Pearson, J.: Tractable symmetry breaking for CSPs with interchangeable values. In: Proc. of the 18th IJCAI (2003)
Flener, P., Pearson, J., Sellmann, M., Van Hentenryck, P.: Static and dynamic structural symmetry breaking. In: Benhamou, F. (ed.) CP 2006. LNCS, vol. 4204, pp. 695–699. Springer, Heidelberg (2006)
Heller, D., Panda, A., Sellmann, M., Yip, J.: Model restarts for structural symmetry breaking. In: Stuckey, P.J. (ed.) CP 2008. LNCS, vol. 5202, pp. 539–544. Springer, Heidelberg (2008)
ChocoTeam: Documentation. CHOCO is a java library for constraint satisfaction problems (CSP) and constraint programming (CP), http://choco.mines-nantes.fr/
Refalo, P.: Impact-based search strategies for constraint programming. In: Wallace, M. (ed.) CP 2004. LNCS, vol. 3258, pp. 557–571. Springer, Heidelberg (2004)
Katsirelos, G., Walsh, T.: Symmetries of symmetry breaking constraints. In: Proc. of ECAI 2010 (2010)
Walsh, T.: Breaking value symmetry. In: Bessière, C. (ed.) CP 2007. LNCS, vol. 4741, pp. 880–887. Springer, Heidelberg (2007)
Crawford, J., Luks, G., Ginsberg, M., Roy, A.: Symmetry breaking predicates for search problems. In: Proc. of the 5th Int. Conf. on Knowledge Representation and Reasoning (KR 1996), pp. 148–159 (1996)
Luby, M., Sinclair, A., Zuckerman, D.: Optimal speedup of Las Vegas algorithms. Information Processing Letters 47, 173–180 (1993)
Boussemart, F., Hemery, F., Lecoutre, C., Sais, L.: Boosting systematic search by weighting constraints. In: Proc. of the 16th ECAI 2004, pp. 146–150 (2004)
Gomes, C., Selman, B., Crato, N.: Heavy-tailed distributions in combinatorial search. In: Smolka, G. (ed.) CP 1997. LNCS, vol. 1330, pp. 121–135. Springer, Heidelberg (1997)
Frisch, A.M., Hnich, B., Kiziltan, Z., Miguel, I., Walsh, T.: Global constraints for lexicographic orderings. In: Van Hentenryck, P. (ed.) CP 2002. LNCS, vol. 2470, pp. 93–108. Springer, Heidelberg (2002)
Frisch, A., Hnich, B., Kiziltan, Z., Miguel, I., Walsh, T.: Propagation algorithms for lexicographic ordering constraints. Artificial Intelligence 170(10), 803–908 (2006)
Law, Y.C., Lee, J.H.M., Walsh, T., Yip, J.Y.K.: Breaking symmetry of interchangeable variables and values. In: Bessière, C. (ed.) CP 2007. LNCS, vol. 4741, pp. 423–437. Springer, Heidelberg (2007)
Katsirelos, G., Narodytska, N., Walsh, T.: Combining symmetry breaking and global constraints. In: Oddi, A., Fages, F., Rossi, F. (eds.) CSCLP 2008. LNCS, vol. 5655, pp. 84–98. Springer, Heidelberg (2009)
Jefferson, C., Kelsey, T., Linton, S., Petrie, K.: GAPLex: Generalised static symmetry breaking. In: Proc. of 6th Int. Workshop on Symmetry in Constraint Satisfaction Problems, SymCon 2006 (2006)
Puget, J.-F.: Symmetry breaking using stabilizers. In: Rossi, F. (ed.) CP 2003. LNCS, vol. 2833, pp. 585–599. Springer, Heidelberg (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Narodytska, N., Walsh, T. (2013). An Adaptive Model Restarts Heuristic. In: Gomes, C., Sellmann, M. (eds) Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems. CPAIOR 2013. Lecture Notes in Computer Science, vol 7874. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38171-3_28
Download citation
DOI: https://doi.org/10.1007/978-3-642-38171-3_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38170-6
Online ISBN: 978-3-642-38171-3
eBook Packages: Computer ScienceComputer Science (R0)