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Integrating Operations Research in Constraint Programming

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  • Michela Milano
  • Mark Wallace

Abstract

This paper presents Constraint Programming as a natural formalism for modelling problems, and as a flexible platform for solving them. CP has a range of techniques for handling constraints including several forms of propagation and tailored algorithms for global constraints. It also allows linear programming to be combined with propagation and novel and varied search techniques which can be easily expressed in CP. The paper describes how CP can be used to exploit linear programming within different kinds of hybrid algorithm. In particular it can enhance techniques such as Lagrangian relaxation, Benders decomposition and column generation. Copyright Springer Science+Business Media, LLC 2010

Suggested Citation

  • Michela Milano & Mark Wallace, 2010. "Integrating Operations Research in Constraint Programming," Annals of Operations Research, Springer, vol. 175(1), pages 37-76, March.
    • Handle: RePEc:spr:annopr:v:175:y:2010:i:1:p:37-76:10.1007/s10479-009-0654-9
    DOI: 10.1007/s10479-009-0654-9
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    References listed on IDEAS

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    1. Vipul Jain & Ignacio E. Grossmann, 2001. "Algorithms for Hybrid MILP/CP Models for a Class of Optimization Problems," INFORMS Journal on Computing, INFORMS, vol. 13(4), pages 258-276, November.
    2. Eugeniusz Nowicki & Czeslaw Smutnicki, 1996. "A Fast Taboo Search Algorithm for the Job Shop Problem," Management Science, INFORMS, vol. 42(6), pages 797-813, June.
    3. Teodor Gabriel Crainic & Michel Gendreau & Judith M. Farvolden, 2000. "A Simplex-Based Tabu Search Method for Capacitated Network Design," INFORMS Journal on Computing, INFORMS, vol. 12(3), pages 223-236, August.
    4. Tallys H. Yunes & Arnaldo V. Moura & Cid C. de Souza, 2005. "Hybrid Column Generation Approaches for Urban Transit Crew Management Problems," Transportation Science, INFORMS, vol. 39(2), pages 273-288, May.
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    Cited by:

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    2. Sitek Pawel & Wikarek Jaroslaw, 2014. "A Hybrid Method for the Modelling and Optimisation of Constrained Search Problems," Foundations of Management, Sciendo, vol. 5(3), pages 1-16, August.

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