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hal-00753578, version 1

Two methods of pruning Benders' cuts and their application to the management of a gas portfolio

Laurent Pfeiffer (, http://www.cmap.polytechnique.fr/~pfeiffer/english.html) 12, Romain Apparigliato () 3, Sophie Auchapt () 3

N° RR-8133 (2012)

Abstract: In this article, we describe a gas portfolio management problem, which is solved with the SDDP (Stochastic Dual Dynamic Programming) algorithm. We present some improvements of this algorithm and focus on methods of pruning Benders' cuts, that is to say, methods of picking out the most relevant cuts among those which have been computed. Our territory algorithm allows a quick selection and a great reduction of the number of cuts. Our second method only deletes cuts which do not contribute to the approximation of the value function, thanks to a test of usefulness. Numerical results are presented.

  • 1:  Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP)
  • Polytechnique - X – CNRS : UMR7641
  • 2:  COMMANDS (INRIA Saclay - Ile de France)
  • INRIA – CNRS : UMR7641 – Polytechnique - X – ENSTA ParisTech
  • 3:  Centre de Recherche en Etudes et Modélisation Economiques (CEEME (GDF-Suez))
  • GDF-SUEZ
  • Domain : Mathematics/Optimization and Control
  • Keywords : SDDP algorithm – stochastic programming – energy management – pruning methods – Benders' cuts.
  • Internal note : RR-8133
 
  • hal-00753578, version 1
  • oai:hal.inria.fr:hal-00753578
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  • Submitted on: Monday, 19 November 2012 14:21:25
  • Updated on: Sunday, 25 November 2012 18:58:52