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A Two-Stage Stochastic Optimization for Robust Operation of Multipurpose Reservoirs

Author

Listed:
  • J. Pablo Ortiz-Partida

    (International Institute for Applied Systems Analysis
    University of California, Davis)

  • Taher Kahil

    (International Institute for Applied Systems Analysis)

  • Tatiana Ermolieva

    (International Institute for Applied Systems Analysis)

  • Yuri Ermoliev

    (International Institute for Applied Systems Analysis)

  • Belize Lane

    (Utah State University)

  • Samuel Sandoval-Solis

    (University of California, Davis)

  • Yoshihide Wada

    (International Institute for Applied Systems Analysis)

Abstract

Robust reservoir operation has long been considered a promising solution for addressing water allocation problems in the absence of reliable hydroclimatic forecasts. This study aims to evaluate the performance of this solution using a novel two-stage stochastic optimization model. The model maximizes economic benefits from reservoir deliveries while integrating stochastic inflows into a water allocation system with multiple demands and various constraints. The outcome of the model is a robust set of monthly reservoir releases that perform well under a wide range of hydroclimatic conditions. The model has been applied to the case of the Big Bend Reach of the Rio Grande/Bravo, a transboundary river basin of high importance for Mexico and the United States. The performance of the robust operation policy was assessed by comparing its outcome to those obtained under observed historical operations and an operation policy derived from a deterministic version of the optimization model that assumes perfect hydroclimatic knowledge. The results of this study indicate that the set of robust releases developed here outperforms historical reservoir operations and performs similarly to operations under perfect knowledge. These results show the effectiveness of robust reservoir operation and the usefulness of the proposed optimization model for decision-making under increasing hydroclimatic uncertainty.

Suggested Citation

  • J. Pablo Ortiz-Partida & Taher Kahil & Tatiana Ermolieva & Yuri Ermoliev & Belize Lane & Samuel Sandoval-Solis & Yoshihide Wada, 2019. "A Two-Stage Stochastic Optimization for Robust Operation of Multipurpose Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(11), pages 3815-3830, September.
    • Handle: RePEc:spr:waterr:v:33:y:2019:i:11:d:10.1007_s11269-019-02337-1
    DOI: 10.1007/s11269-019-02337-1
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    References listed on IDEAS

    as
    1. Mohsen Saadat & Keyvan Asghari, 2019. "Feasibility Improved Stochastic Dynamic Programming for Optimization of Reservoir Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(10), pages 3485-3498, August.
    2. Erik Porse & Samuel Sandoval-Solis & Belize Lane, 2015. "Integrating Environmental Flows into Multi-Objective Reservoir Management for a Transboundary, Water-Scarce River Basin: Rio Grande/Bravo," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2471-2484, June.
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    Cited by:

    1. Wen-jing Niu & Zhong-kai Feng & Yu-rong Li & Shuai Liu, 2021. "Cooperation Search Algorithm for Power Generation Production Operation Optimization of Cascade Hydropower Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(8), pages 2465-2485, June.
    2. Marzieh Mozafari & Alireza Zabihi, 2020. "Robust Water Supply Chain Network Design under Uncertainty in Capacity," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(13), pages 4093-4112, October.
    3. Tatiana Ermolieva & Petr Havlik & Yuri Ermoliev & Nikolay Khabarov & Michael Obersteiner, 2021. "Robust Management of Systemic Risks and Food-Water-Energy-Environmental Security: Two-Stage Strategic-Adaptive GLOBIOM Model," Sustainability, MDPI, vol. 13(2), pages 1-16, January.

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