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Binary Linear Programming as a Tool of Cost Optimization for a Water Supply Operator

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  • Przemysław Kowalik

    (Department of Quantitative Methods in Management, Faculty of Management, Lublin University of Technology, 20-618 Lublin, Poland)

  • Magdalena Rzemieniak

    (Department of Marketing, Faculty of Management, Lublin University of Technology, 20-618 Lublin, Poland)

Abstract

The problem of scheduling pumps is widely discussed in the literature in the context of improving energy efficiency, production costs, emissions, and reliability. In some studies, the authors analyze the available case studies and compare the results; others present their own computational methods. In the paper, a problem of pump scheduling in regular everyday operations of a water supply operator is considered. The issues of water production optimization and energy savings are part of the topic of sustainable development. The objective of the article is the minimization of the cost of electric power used by the pumps supplying water. It is achieved thanks to the variability of both the demand for water and the price of electric power during the day combined with the possibility of storing water. The formulation of an existing electric power cost optimization problem as a binary linear programming problem was improved. An essential extension of the above mathematical model, which enables more flexible management of the pump system, was also proposed. An example containing real-world input data was successfully solved using Microsoft Excel with a free OpenSolver add-in.

Suggested Citation

  • Przemysław Kowalik & Magdalena Rzemieniak, 2021. "Binary Linear Programming as a Tool of Cost Optimization for a Water Supply Operator," Sustainability, MDPI, vol. 13(6), pages 1-15, March.
    • Handle: RePEc:gam:jsusta:v:13:y:2021:i:6:p:3470-:d:521291
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    References listed on IDEAS

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    1. Diethard Klatte & Hans-Jakob Lüthi & Karl Schmedders (ed.), 2012. "Operations Research Proceedings 2011," Operations Research Proceedings, Springer, edition 127, number 978-3-642-29210-1, March.
    2. Jaroslav Vrchota & Martin Pech & Ladislav Rolínek & Jiří Bednář, 2020. "Sustainability Outcomes of Green Processes in Relation to Industry 4.0 in Manufacturing: Systematic Review," Sustainability, MDPI, vol. 12(15), pages 1-47, July.
    3. Luca O. Turci & Jingcheng Wang & Ibrahim Brahmia, 2020. "Adaptive and Improved Multi-population Based Nature-inspired Optimization Algorithms for Water Pump Station Scheduling," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(9), pages 2869-2885, July.
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    Cited by:

    1. Krzysztof Boryczko & Dawid Szpak & Jakub Żywiec & Barbara Tchórzewska-Cieślak, 2022. "The Use of a Fault Tree Analysis (FTA) in the Operator Reliability Assessment of the Critical Infrastructure on the Example of Water Supply System," Energies, MDPI, vol. 15(12), pages 1-13, June.
    2. Mariusz Pyra, 2023. "Simulation of the Progress of the Decarbonization Process in Poland’s Road Transport Sector," Energies, MDPI, vol. 16(12), pages 1-21, June.
    3. Flavia Fechete & Anișor Nedelcu, 2022. "Multi-Objective Optimization of the Organization’s Performance for Sustainable Development," Sustainability, MDPI, vol. 14(15), pages 1-20, July.

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