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Cost efficiency in water supply systems: An applied review on optimization models for the pump scheduling problem

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  • Brás, Marlene
  • Moura, Ana
  • Andrade-Campos, António

Abstract

The need for efficient pump operation in water supply systems (WSS) has become increasingly important over time, driven by the growing energy consumption and the associated energy costs. Forecasts for 2050 anticipate a global increase in water demand by 55%, indicating an increasing surge in WSS energy consumption. Control of pumping stations, which consume 70% of the energy in WSS, is the most critical area for optimization. This optimization challenge is commonly referred as the pump scheduling problem (PSP), and can be addressed using a variety of mathematical formulations. While numerous formulations exist to solve this optimization problem, the large majority of the studies are focus on the optimization techniques, sidelining the problem formulation. Due to the unique physical characteristics of each WSS, individual mathematical formulations may exhibit different levels of performance. In addition to general pumps’ operation optimization, the employment of variable speed pumps (VSP) can lead to significant energy savings compared to fixed speed pumps (FSP). However, despite their apparent benefits, many established optimization models for the PSP have not yet incorporated VSP decision variables into their formulations. Therefore, this work aims to review the main mathematical formulations for the pump scheduling problem for WSS with VSP and to present a quantitative comparative study of three mathematical formulations applied to a case study in the literature. The comparative analysis here presented revealed that the optimization model based on duty cycles is more cost-efficient when compared to alternative approaches discussed in the literature.

Suggested Citation

  • Brás, Marlene & Moura, Ana & Andrade-Campos, António, 2025. "Cost efficiency in water supply systems: An applied review on optimization models for the pump scheduling problem," European Journal of Operational Research, Elsevier, vol. 323(1), pages 1-19.
  • Handle: RePEc:eee:ejores:v:323:y:2025:i:1:p:1-19
    DOI: 10.1016/j.ejor.2024.07.039
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    References listed on IDEAS

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    1. Coelho, B. & Andrade-Campos, A., 2014. "Efficiency achievement in water supply systems—A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 30(C), pages 59-84.
    2. 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.
    3. Burkard, Rainer E. & Hatzl, Johannes, 2006. "A complex time based construction heuristic for batch scheduling problems in the chemical industry," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1162-1183, October.
    4. Martyna Świętochowska & Izabela Bartkowska, 2022. "Optimization of Energy Consumption in the Pumping Station Supplying Two Zones of the Water Supply System," Energies, MDPI, vol. 15(1), pages 1-15, January.
    5. Claudia Quintiliani & Enrico Creaco, 2019. "Using Additional Time Slots for Improving Pump Control Optimization Based on Trigger Levels," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(9), pages 3175-3186, July.
    6. Vieira, Bruno S. & Mayerle, Sérgio F. & Campos, Lucila M.S. & Coelho, Leandro C., 2020. "Optimizing drinking water distribution system operations," European Journal of Operational Research, Elsevier, vol. 280(3), pages 1035-1050.
    7. Luigi Cimorelli & Carmine Covelli & Bruno Molino & Domenico Pianese, 2020. "Optimal Regulation of Pumping Station in Water Distribution Networks Using Constant and Variable Speed Pumps: A Technical and Economical Comparison," Energies, MDPI, vol. 13(10), pages 1-15, May.
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