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Role of specific energy in decomposition of time-invariant least-cost reservoir filling problem

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  • Selek, István
  • Ikonen, Enso

Abstract

A mathematical analysis highlighting the decomposition structure of the least-cost reservoir filling problem under time–invariant conditions is provided. It is shown, without loss of generality, that time invariance and unidimensionality of the state variable (for describing the evolution of the hydrodynamic system) are sufficient in order to achieve full (spatial and temporal) decomposition. Using this result, the role of specific energy in finding least–cost operational schedules for reservoir filling in a general “physically meaningful” hydrodynamic system is discussed.

Suggested Citation

  • Selek, István & Ikonen, Enso, 2019. "Role of specific energy in decomposition of time-invariant least-cost reservoir filling problem," European Journal of Operational Research, Elsevier, vol. 272(2), pages 565-573.
    • Handle: RePEc:eee:ejores:v:272:y:2019:i:2:p:565-573
    DOI: 10.1016/j.ejor.2018.06.052
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    References listed on IDEAS

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    1. Ghaddar, Bissan & Claeys, Mathieu & Mevissen, Martin & Eck, Bradley J., 2017. "Polynomial optimization for water networks: Global solutions for the valve setting problem," European Journal of Operational Research, Elsevier, vol. 261(2), pages 450-459.
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    6. Ghaddar, Bissan & Naoum-Sawaya, Joe & Kishimoto, Akihiro & Taheri, Nicole & Eck, Bradley, 2015. "A Lagrangian decomposition approach for the pump scheduling problem in water networks," European Journal of Operational Research, Elsevier, vol. 241(2), pages 490-501.
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    8. Naoum-Sawaya, Joe & Ghaddar, Bissan & Arandia, Ernesto & Eck, Bradley, 2015. "Simulation-optimization approaches for water pump scheduling and pipe replacement problems," European Journal of Operational Research, Elsevier, vol. 246(1), pages 293-306.
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