Abstract
We introduce a new approach for focusing constraint reasoning using so-called streamlining constraints. Such constraints partition the solution space to drive the search first towards a small and structured combinatorial subspace. The streamlining constraints capture regularities observed in a subset of the solutions to smaller problem instances. We demonstrate the effectiveness of our approach by solving a number of hard combinatorial design problems. Our experiments show that streamlining scales significantly beyond previous approaches.
This work was supported in part by the Intelligent Information Systems Institute, Cornell University (AFOSR grant F49620-01-1-0076).
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Ahuja, R.K., Magnati, T.L., Orlin, J.B.: Network Flows. Prentice-Hall, Englewood Cliffs (1993)
Apt, K.R.: The Rough Guide to Constraint Propagation. In: Jaffar, J. (ed.) CP 1999. LNCS, vol. 1713, pp. 1–23. Springer, Heidelberg (1999)
Bose, R.C., Shrikhande, S.S., Parker, E.T.: Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler’s Conjecture. Canadian Journal of Mathematics 12, 189–203 (1960)
Codognet, P., Diaz, D.: An Efficient Library for Solving CSP with Local Search, http://ws.ailab.sztaki.hu/CodognetDiaz.pdf
Colbourn, C.J., Dinitz, J.H. (eds.): The CRC Handbook of Combinatorial Designs. CRC Press Series on Discrete Mathematics and its Applications. CRC Press, Boca Raton (1996)
Fahle, T., Schamberger, S., Sellmann, M.: Symmetry Breaking. In: Walsh, T. (ed.) CP 2001. LNCS, vol. 2239, pp. 93–107. Springer, Heidelberg (2001)
Focacci, F., Milano, M.: Global Cut Framework for Removing Symmetries. In: Walsh, T. (ed.) CP 2001. LNCS, vol. 2239, pp. 77–92. Springer, Heidelberg (2001)
Focacci, F., Shaw, P.: Pruning sub-optimal search branches using local search. In: CP-AI-OR, pp. 181–189 (2002)
Gomes, C., Sellmann, M., van Es, H., van Es, C.: The Challenge of Generating Spatially Balanced Scientific Experiment Designs. Poster CP-AI-OR (2004), See also www.cs.cornell.edu/gomes/SBLS.htm
ILOG Solver 5.1. User’s manual: 443–446 (2001)
Moran, J.: The Wonders of Magic Squares. Vintage, New York (1982)
Régin, J.-C.: A filtering algorithm for constraints of difference in CSPs. In: 12th National Conference on Artificial Intelligence, AAAI, pp. 362–367 (1994)
Rowling, J.K.: Harry Potter and the Sorcerer’s Stone. Scholastic (1998)
Tarry, G.: Le problème des 36 officiers. C.R.Assoc. France Av. Science 29(2), 170–203 (1900)
Trump, W.: How many magic squares are there? (2003), Found at http://www.trump.de/-magic-squares/howmany.html
van Es, H., van Es, C.: The spatial nature of randomization and its effects on outcome of field experiments. Agron. J 85, 420–428 (1993)
Hnich, B., Smith, B.M., Walsh, T.: Dual Modelling of Permutation and Injection Problems. Journal of Artificial Intelligence Research 21, 357–391 (2004)
Weisstein, E.W.: Magic Square. From Mathworld - A Wolfram Web Resource (1999), http://mathworld.worlfram.com/MagicSquare.html
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Gomes, C., Sellmann, M. (2004). Streamlined Constraint Reasoning. In: Wallace, M. (eds) Principles and Practice of Constraint Programming – CP 2004. CP 2004. Lecture Notes in Computer Science, vol 3258. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30201-8_22
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DOI: https://doi.org/10.1007/978-3-540-30201-8_22
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