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Adaptive Bisection of Numerical CSPs

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Principles and Practice of Constraint Programming (CP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 7514))

Abstract

Bisection is a search algorithm for numerical CSPs. The main principle is to select one variable at every node of the search tree and to bisect its interval domain. In this paper, we introduce a new adaptive variable selection strategy following an intensification diversification approach. Intensification is implemented by the maximum smear heuristic. Diversification is obtained by a round-robin ordering on the variables. The balance is automatically adapted during the search according to the solving state. Experimental results from a set of standard benchmarks show that this new strategy is more robust. Moreover, it is particularly efficient for solving the well-known Transistor problem, illustrating the benefits of an adaptive search.

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Granvilliers, L. (2012). Adaptive Bisection of Numerical CSPs. In: Milano, M. (eds) Principles and Practice of Constraint Programming. CP 2012. Lecture Notes in Computer Science, vol 7514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33558-7_23

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  • DOI: https://doi.org/10.1007/978-3-642-33558-7_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33557-0

  • Online ISBN: 978-3-642-33558-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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