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A Branch-and-Bound Algorithm for Optimal Pump Scheduling in Water Distribution Networks

Author

Listed:
  • Luis Henrique Magalhães Costa

    (Vale do Acaraú State University)

  • Bruno Prata

    (Federal University of Ceará)

  • Helena M. Ramos

    (IST University of Lisbon)

  • Marco Aurélio Holanda Castro

    (Federal University of Ceará)

Abstract

Nowadays water distribution operation systems are accomplished with the aid of qualified professionals who use their experience in order to achieve a satisfactory performance of the several hydromechanical devices, which are part of the system, such as boosters and valves. In general, these operational rules are empirical and the main goal is to assure the availability of water for the population, with no special concerns about saving energy used in pumping systems. Besides, these empirical rules often disregard hours of lower energy rates. There are several research works concerning the developments of operational rules optimization applied to specific water distribution systems. However, in this work, a general optimization routine integrated with EPANET is presented, which allows the determination of strategic optimal rules of operation for any type of water distribution system. Moreover, a Branch-and-Bound algorithm is also used, where finding the global optimal solution is guaranteed, in admissible computational times. The water distribution system used in this work corresponds to a hypothetical network proposed in the specialized literature.

Suggested Citation

  • Luis Henrique Magalhães Costa & Bruno Prata & Helena M. Ramos & Marco Aurélio Holanda Castro, 2016. "A Branch-and-Bound Algorithm for Optimal Pump Scheduling in Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(3), pages 1037-1052, February.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:3:d:10.1007_s11269-015-1209-2
    DOI: 10.1007/s11269-015-1209-2
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    References listed on IDEAS

    as
    1. Ramos, J.S. & Ramos, H.M., 2009. "Sustainable application of renewable sources in water pumping systems: Optimized energy system configuration," Energy Policy, Elsevier, vol. 37(2), pages 633-643, February.
    2. M. Pasha & Kevin Lansey, 2014. "Strategies to Develop Warm Solutions for Real-Time Pump Scheduling for Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(12), pages 3975-3987, September.
    3. Vieira, F. & Ramos, H.M., 2008. "Hybrid solution and pump-storage optimization in water supply system efficiency: A case study," Energy Policy, Elsevier, vol. 36(11), pages 4142-4148, November.
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    Cited by:

    1. Chung-Ho Su & Jen-Ya Wang, 2022. "A Branch-and-Bound Algorithm for Minimizing the Total Tardiness of Multiple Developers," Mathematics, MDPI, vol. 10(7), pages 1-24, April.
    2. Ruben Menke & Edo Abraham & Panos Parpas & Ivan Stoianov, 2016. "Exploring Optimal Pump Scheduling in Water Distribution Networks with Branch and Bound Methods," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 5333-5349, November.
    3. Ritu Arora & Kavita Gupta, 2018. "Branch and bound algorithm for discrete multi- level linear fractional programming problem," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 28(2), pages 5-21.

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