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A Mathematical Program for Scheduling Preventive Maintenance of Cogeneration Plants with Production

Author

Listed:
  • Khaled Alhamad

    (Laboratory Technology Department, College of Technological Studies, Public Authority for Applied Education and Training, P.O. Box 42325, Shuwaikh 70654, Kuwait
    These authors contributed equally to this work.)

  • Rym M’Hallah

    (Department of Engineering, Faculty of Natural, Mathematical, and Engineering Sciences, King’s College London, Strand S42.1, London WC2R 2ND, UK
    These authors contributed equally to this work.)

  • Cormac Lucas

    (Department of Mathematical Sciences, Brunel University, Uxbridge UB8 3PH, UK
    These authors contributed equally to this work.)

Abstract

This paper considers the scheduling of preventive maintenance for the boilers, turbines, and distillers of power plants that produce electricity and desalinated water. It models the problem as a mathematical program (MP) that maximizes the sum of the minimal ratios of production to the demand of electricity and water during a planning time horizon. This objective encourages the plants’ production and enhances the chances of meeting consumers’ needs. It reduces the chance of power cuts and water shortages that may be caused by emergency disruptions of equipment on the network. To assess its performance and effectiveness, we test the MP on a real system consisting of 32 units and generate a preventive maintenance schedule for a time horizon of 52 weeks (one year). The generated schedule outperforms the schedule established by experts of the water plant; it induces, respectively, 16% and 12% increases in the surpluses while either matching or surpassing the total production. The sensitivity analysis further indicates that the generated schedule can handle unforeseen longer maintenance periods as well as a 120% increase in demand—a sizable realization in a country that heavily relies on electricity to acclimate to the harsh weather conditions. In addition, it suggests the robustness of the schedules with respect to increased demand. In summary, the MP model yields optimal systematic sustainable schedules.

Suggested Citation

  • Khaled Alhamad & Rym M’Hallah & Cormac Lucas, 2021. "A Mathematical Program for Scheduling Preventive Maintenance of Cogeneration Plants with Production," Mathematics, MDPI, vol. 9(14), pages 1-12, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1705-:d:597659
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    References listed on IDEAS

    as
    1. Perez-Canto, Salvador & Rubio-Romero, Juan Carlos, 2013. "A model for the preventive maintenance scheduling of power plants including wind farms," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 67-75.
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    4. Alex J. Ruiz-Torres & Giuseppe Paletta & Rym M’Hallah, 2017. "Makespan minimisation with sequence-dependent machine deterioration and maintenance events," International Journal of Production Research, Taylor & Francis Journals, vol. 55(2), pages 462-479, January.
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    8. Canto, Salvador Perez, 2008. "Application of Benders' decomposition to power plant preventive maintenance scheduling," European Journal of Operational Research, Elsevier, vol. 184(2), pages 759-777, January.
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    Cited by:

    1. Khaled Alhamad & Yousuf Alkhezi & M. F. Alhajri, 2022. "Nonlinear Integer Programming for Solving Preventive Maintenance Scheduling Problem for Cogeneration Plants with Production," Sustainability, MDPI, vol. 15(1), pages 1-18, December.
    2. Anatoliy Alabugin & Sergei Aliukov & Tatyana Khudyakova, 2022. "Review of Models for and Socioeconomic Approaches to the Formation of Foresight Control Mechanisms: A Genesis," Sustainability, MDPI, vol. 14(19), pages 1-19, September.

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