Abstract
Solving constraint optimization problems is hard because it is not enough to find the best solution; an algorithm does not know a candidate is the best solution until it has proven that there are no better solutions. The proof can be long, compared to the time spent to find a good solution. In the cases where there are resource bounds, the proof of optimality may not be achievable and a tradeoff needs to be made between the solution quality and the cost due to the time delay. We propose a decision theoretic meta-reasoning-guided COP solver to address this issue. By choosing the action with the estimated maximal expected utility, the meta-reasoner finds a stopping point with a good tradeoff between the solution quality and the time cost.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Boddy, M., Dean, T.: Decision-Theoretic Deliberation Scheduling for Problem Solving in Time-Constrained Environments. Artificial Intelligence 67(2), 245–286 (1994)
Bistarelli, S., Fargier, H., Montanari, U., Rossi, F., Schiex, T., Verfaille, G.: Semiring-based CSPs and valued CSPs: Basic properties. In: Jampel, M., Maher, M.J., Freuder, E.C. (eds.) CP-WS 1995. LNCS, vol. 1106, pp. 111–150. Springer, Berlin (1996)
Carlsson, M., Ottosson, G.: Anytime Frequency Allocation with Soft Constraints. In: Freuder, E.C. (ed.) CP 1996. LNCS, vol. 1118. Springer, Heidelberg (1996)
Dean, T., Kaelbling, L., Kirman, J., Nicholson, A.: Planning Under Time Constraints in Stochastic Domains. Artificial Intelligence 76(1-2), 35–74 (1995)
Horvitz, E.J.: Reasoning under Varying and Uncertain Resource Constraints. In: Proceedings of the National Conference on AI (AAAI 1988), pp. 111–116 (1988)
Horvitz, E.J.: Reasoning about Beliefs and Actions under Computational Resource Constraints. In: Uncertainty in Artificial Intelligence 3. Elsevier Science Publishers, Amsterdam (1989)
Horvitz, E.J., Ruan, Y., Gomes, C., Kautz, H., Selman, B., Chickering, D.M.: A Bayesian Approach to Tackling Hard Computational Problems. In: Proceedings of the Seventeenth Conference on Uncertainty in Artificial Intelligence, pp. 235–244 (2001)
Larrosa, J.: Node and Arc Consistency in Weighted CSP. In: Proceedings of the 18th National Conference on Artificial Intelligence (AAAI 2002), pp. 48–53 (2002)
Russell, S., Wefald, E.: The principles of meta-reasoning. In: 1st International Conference on Knowledge Representation and Reasoning, pp. 406–411. Morgan Kaufmann, San Francisco (1991)
Schiex, T.: Arc consistency for soft constraints. In: Dechter, R. (ed.) CP 2000. LNCS, vol. 1894, pp. 411–424. Springer, Heidelberg (2000)
Schiex, T., Fargier, H., Verfaillie, G.: Valued Constraint Satisfaction Problems: Hard and Easy Problems. In: Proc. of the 14th International Joint Conference on Artificial Intelligence (IJCAI 1995), pp. 631–637 (1995)
Verfaillie, G., Lemâıtre, M., Schiex, T.: Russian doll search. In: AAAI 1996, pp. 181–187 (1996)
Zheng, J., Horsch, M.C.: A Comparison of Consistency Propagation Algorithms in Constraint Optimization. In: Xiang, Y., Chaib-draa, B. (eds.) Canadian AI 2003. LNCS (LNAI), vol. 2671, pp. 160–174. Springer, Heidelberg (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zheng, J., Horsch, M.C. (2005). A Decision Theoretic Meta-reasoner for Constraint Optimization. In: Kégl, B., Lapalme, G. (eds) Advances in Artificial Intelligence. Canadian AI 2005. Lecture Notes in Computer Science(), vol 3501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11424918_8
Download citation
DOI: https://doi.org/10.1007/11424918_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25864-3
Online ISBN: 978-3-540-31952-8
eBook Packages: Computer ScienceComputer Science (R0)