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Strong Cost-Based Filtering for Lagrange Decomposition Applied to Network Design

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Principles and Practice of Constraint Programming – CP 2004 (CP 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3258))

Abstract

This paper describes a new hybrid algorithm for a multicast network design application. The problem consists of finding a minimum-cost topology and link dimensions subject to capacity and multicast routing constraints. The algorithm exploits Lagrange Decomposition (LD) to yield separable subproblems. Each subproblem has a Constraint Programming relaxation. We derive a sharper cost bound and stronger cost-based filtering rules. The results indicate that our solver outperforms the pure LD approach.

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© 2004 Springer-Verlag Berlin Heidelberg

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Cronholm, W., Ajili, F. (2004). Strong Cost-Based Filtering for Lagrange Decomposition Applied to Network Design. 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_55

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  • DOI: https://doi.org/10.1007/978-3-540-30201-8_55

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23241-4

  • Online ISBN: 978-3-540-30201-8

  • eBook Packages: Springer Book Archive

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