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A parallelised distributed implementation of a Branch and Fix Coordination algorithm

Author

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  • Pagès-Bernaus, Adela
  • Pérez-Valdés, Gerardo
  • Tomasgard, Asgeir

Abstract

Branch and Fix Coordination is an algorithm intended to solve large scale multi-stage stochastic mixed integer problems, based on the particular structure of such problems, so that they can be broken down into smaller subproblems. With this in mind, it is possible to use distributed computation techniques to solve the several subproblems in a parallel way, almost independently. To guarantee non-anticipativity in the global solution, the values of the integer variables in the subproblems are coordinated by a master thread. Scenario ‘clusters’ lend themselves particularly well to parallelisation, allowing us to solve some problems noticeably faster. Thanks to the decomposition into smaller subproblems, we can also attempt to solve otherwise intractable instances. In this work, we present details on the computational implementation of the Branch and Fix Coordination algorithm.

Suggested Citation

  • Pagès-Bernaus, Adela & Pérez-Valdés, Gerardo & Tomasgard, Asgeir, 2015. "A parallelised distributed implementation of a Branch and Fix Coordination algorithm," European Journal of Operational Research, Elsevier, vol. 244(1), pages 77-85.
    • Handle: RePEc:eee:ejores:v:244:y:2015:i:1:p:77-85
    DOI: 10.1016/j.ejor.2015.01.004
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    References listed on IDEAS

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    1. Mian Li & Steven Gabriel & Yohan Shim & Shapour Azarm, 2011. "Interval Uncertainty-Based Robust Optimization for Convex and Non-Convex Quadratic Programs with Applications in Network Infrastructure Planning," Networks and Spatial Economics, Springer, vol. 11(1), pages 159-191, March.
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    5. Alonso-Ayuso, Antonio & Escudero, Laureano F. & Teresa Ortuno, M., 2003. "BFC, A branch-and-fix coordination algorithmic framework for solving some types of stochastic pure and mixed 0-1 programs," European Journal of Operational Research, Elsevier, vol. 151(3), pages 503-519, December.
    6. Escudero, L.F. & Garín, M.A. & Merino, M. & Pérez, G., 2010. "An exact algorithm for solving large-scale two-stage stochastic mixed-integer problems: Some theoretical and experimental aspects," European Journal of Operational Research, Elsevier, vol. 204(1), pages 105-116, July.
    7. L. Escudero & A. Garín & M. Merino & G. Pérez, 2007. "A two-stage stochastic integer programming approach as a mixture of Branch-and-Fix Coordination and Benders Decomposition schemes," Annals of Operations Research, Springer, vol. 152(1), pages 395-420, July.
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    Cited by:

    1. Schwarz, Hannes & Bertsch, Valentin & Fichtner, Wolf, 2015. "Two-stage stochastic, large-scale optimization of a decentralized energy system - a residential quarter as case study," Working Paper Series in Production and Energy 10, Karlsruhe Institute of Technology (KIT), Institute for Industrial Production (IIP).
    2. Aldasoro, Unai & Escudero, Laureano F. & Merino, María & Pérez, Gloria, 2017. "A parallel Branch-and-Fix Coordination based matheuristic algorithm for solving large sized multistage stochastic mixed 0–1 problems," European Journal of Operational Research, Elsevier, vol. 258(2), pages 590-606.
    3. Semih Atakan & Suvrajeet Sen, 2018. "A Progressive Hedging based branch-and-bound algorithm for mixed-integer stochastic programs," Computational Management Science, Springer, vol. 15(3), pages 501-540, October.
    4. Schryen, Guido, 2020. "Parallel computational optimization in operations research: A new integrative framework, literature review and research directions," European Journal of Operational Research, Elsevier, vol. 287(1), pages 1-18.

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