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Combining VNS with constraint programming for solving anytime optimization problems

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  • Loudni, Samir
  • Boizumault, Patrice
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    Abstract

    This paper presents an hybrid search method for solving on-line optimization problems that are modelled using the vcsp Valued Constraint Satisfaction Problems framework. To each constraint is associated a valuation representing the "cost to pay" when this constraint will be violated by a solution. Our method (VNS/LDS+CP) uses principles of VNS (Variable Neighborhood Search) and combines a partial tree search (Limited Discrepancy Search) with Constraint Propagation in order to compute local optima. Experiments on the CELAR benchmarks demonstrate significant improvements on other competing methods: LNS/CP/GR [Lobjois, L., Lemaitre, M., Verfaillie, G., 2000. Large neighbourhood search using constraint propagation and greedy reconstruction for valued csp resolution. In: Proceedings of the ECAI2000 Workshop on Modelling and Solving Problems with Constraints], another hybrid method using vcsps, and two standard versions of Simulated-Annealing [Li, Y.H., 1997. Directed annealing search in constraint satisfaction and optimization. Ph.D. thesis, Imperial College of Science, Department of Computing]: Quick and Medium. Moreover, VNS/LDS+CP clearly satisfies the key properties of anytime algorithms. Finally, VNS/LDS+CP has been successfully applied to a real-life on-line resource allocation problem in computer networks.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 191 (2008)
    Issue (Month): 3 (December)
    Pages: 705-735

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    Handle: RePEc:eee:ejores:v:191:y:2008:i:3:p:705-735

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    Web page: http://www.elsevier.com/locate/eor

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    Cited by:
    1. López-Ibáñez, Manuel & Stützle, Thomas, 2014. "Automatically improving the anytime behaviour of optimisation algorithms," European Journal of Operational Research, Elsevier, vol. 235(3), pages 569-582.

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