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Combining Dantzig-Wolfe and Benders decompositions to solve a large-scale nuclear outage planning problem

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  • Griset, Rodolphe
  • Bendotti, Pascale
  • Detienne, Boris
  • Porcheron, Marc
  • Şen, Halil
  • Vanderbeck, François

Abstract

Optimizing nuclear unit outages is of significant economic importance for the French electricity company EDF, as these outages induce a substitute production by other more expensive means to fulfill electricity demand. This problem is quite challenging given the specific operating constraints of nuclear units, the stochasticity of both the demand and non-nuclear units availability, and the scale of the instances. To tackle these difficulties we use a combined decomposition approach. The operating constraints of the nuclear units are built into a Dantzig-Wolfe pricing subproblem whose solutions define the columns of a demand covering formulation. The scenarios of demand and non-nuclear units availability are handled in a Benders decomposition. Our approach is shown to scale up to the real-life instances of the French nuclear fleet.

Suggested Citation

  • Griset, Rodolphe & Bendotti, Pascale & Detienne, Boris & Porcheron, Marc & Şen, Halil & Vanderbeck, François, 2022. "Combining Dantzig-Wolfe and Benders decompositions to solve a large-scale nuclear outage planning problem," European Journal of Operational Research, Elsevier, vol. 298(3), pages 1067-1083.
    • Handle: RePEc:eee:ejores:v:298:y:2022:i:3:p:1067-1083
    DOI: 10.1016/j.ejor.2021.07.018
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    References listed on IDEAS

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    1. Fourcade, Fabrice & Johnson, Ellis & Bara, Mourad & Cortey-Dumont, Philippe, 1997. "Optimizing nuclear power plant refueling with mixed-integer programming," European Journal of Operational Research, Elsevier, vol. 97(2), pages 269-280, March.
    2. A. Pessoa & R. Sadykov & E. Uchoa & F. Vanderbeck, 2018. "Automation and Combination of Linear-Programming Based Stabilization Techniques in Column Generation," INFORMS Journal on Computing, INFORMS, vol. 30(2), pages 339-360, May.
    3. Ruslan Sadykov & François Vanderbeck & Artur Pessoa & Issam Tahiri & Eduardo Uchoa, 2019. "Primal Heuristics for Branch and Price: The Assets of Diving Methods," INFORMS Journal on Computing, INFORMS, vol. 31(2), pages 251-267, April.
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