Pseudo-tree search with Soft Constraints

作者: Pedro Meseguer , Martí Sánchez , Javier Larrosa

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摘要: Pseudo-tree search is a well known algorithm for CSP solving. It exploits the problem structure to detect independent subproblems that are solved separately. Its main advantage its run time complexity bounded by structural parameter. In this paper, we extend idea soft constraint problems. We show same general principles apply domain. However, naive implementation not competitive with state-of-the-art algorithms, because solving problems separately may yield poor algorithmic efficiency due loose upper bounds. introduce PT-BB, branch-and-bound performs efficient pseudo-tree search. feature use of local bounds which can improve over global also PT-BB combines nicely russian doll (RDS), producing an interesting algorithm.

参考文章(11)
Barbara M. Smith, The phase transition and the mushy region in constraint satisfaction problems european conference on artificial intelligence. pp. 100- 104 ,(1994)
Thomas Schiex, Gérard Verfaillie, Michel Lemaître, Russian doll search for solving constraint optimization problems national conference on artificial intelligence. pp. 181- 187 ,(1996)
B. Cabon, S. de Givry, L. Lobjois, T. Schiex, J.P. Warners, Radio Link Frequency Assignment Constraints - An International Journal. ,vol. 4, pp. 79- 89 ,(1999) , 10.1023/A:1009812409930
Pedro Meseguer, Martì Sánchez, Specializing Russian Doll Search principles and practice of constraint programming. pp. 464- 478 ,(2001) , 10.1007/3-540-45578-7_32
Thomas Schiex, Gerard Verfaillie, Helene Fargier, Valued constraint satisfaction problems: hard and easy problems international joint conference on artificial intelligence. pp. 631- 637 ,(1995)
Eugene C. Freuder, Michael J. Quinn, Taking advantage of stable sets of variables in constraint satisfaction problems international joint conference on artificial intelligence. pp. 1076- 1078 ,(1985)
Javier Larrosa, Pedro Meseguer, Thomas Schiex, Maintaining reversible DAC for Max-CSP Artificial Intelligence. ,vol. 107, pp. 149- 163 ,(1999) , 10.1016/S0004-3702(98)00108-8
E. L. Lawler, D. E. Wood, Branch-and-Bound Methods: A Survey Operations Research. ,vol. 14, pp. 699- 719 ,(1966) , 10.1287/OPRE.14.4.699
Stefano Bistarelli, Ugo Montanari, Francesca Rossi, Semiring-based constraint satisfaction and optimization Journal of the ACM. ,vol. 44, pp. 201- 236 ,(1997) , 10.1145/256303.256306
Daniel P. Miranker, Roberto J. Bayardo, On the space-time trade-off in solving constraint satisfaction problems international joint conference on artificial intelligence. pp. 558- 562 ,(1995)