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Relations of Imperfect Repairs to Critical Infrastructure Maintenance Costs

Author

Listed:
  • Agnieszka Blokus

    (Department of Mathematics, Faculty of Navigation, Gdynia Maritime University, 81-87 Morska St., 81-225 Gdynia, Poland)

  • Przemysław Dziula

    (Department of Navigation, Faculty of Navigation, Gdynia Maritime University, 3 Al. Jana Pawła II St., 81-225 Gdynia, Poland)

Abstract

This article presents an analysis of maintenance costs and maintenance policy of critical infrastructure systems, considering the case of imperfect repair. The maintenance costs of the systems, considering a multistate approach and imperfect repairs, are analyzed with reference to the renewal stream and renewal process theory. Availability characteristics of repairable critical infrastructure systems with non-negligible renovation time, necessary for the cost analysis, are determined based on classical renewal theory. We assume that the system is renewed after exceeding its critical reliability state. The multistate approach proposed to availability analysis, including imperfect repairs, allows considering various configurations of the system’s renewals. The procedure for determining the total cost of maintenance up to certain point in time is proposed. Furthermore, the procedure comparing the costs of repair and operation of the system until a certain moment for different configurations of the number of repairs to various reliability states is put forward and its exemplary application is presented. Conducting perfect renewals of infrastructure to the state of entire availability seems to be the most profitable in the case study analyzed in the article. The exception is when imperfect repairs are much cheaper than perfect repairs (they are up to half of the perfect repair cost), or when costs of an infrastructure’s renewals are considered in the short period of its exploitation (up to one year). The summary provides a conclusion on maintenance policy based on the proposed procedure analysis and a comparison of maintenance costs for various configurations of perfect and imperfect repairs.

Suggested Citation

  • Agnieszka Blokus & Przemysław Dziula, 2021. "Relations of Imperfect Repairs to Critical Infrastructure Maintenance Costs," Sustainability, MDPI, vol. 13(9), pages 1-19, April.
    • Handle: RePEc:gam:jsusta:v:13:y:2021:i:9:p:4917-:d:544707
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    References listed on IDEAS

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    1. Adolfo Crespo Márquez, 2007. "The Maintenance Management Framework," Springer Series in Reliability Engineering, Springer, number 978-1-84628-821-0, December.
    2. Shaomin Wu & Frank P. A. Coolen & Bin Liu, 2017. "Optimization of maintenance policy under parameter uncertainty using portfolio theory," IISE Transactions, Taylor & Francis Journals, vol. 49(7), pages 711-721, July.
    3. Rehak, David & Senovsky, Pavel & Hromada, Martin & Lovecek, Tomas, 2019. "Complex approach to assessing resilience of critical infrastructure elements," International Journal of Critical Infrastructure Protection, Elsevier, vol. 25(C), pages 125-138.
    4. Chuanzhou Jia & Chi Zhang, 2020. "Joint optimization of maintenance planning and workforce routing for a geographically distributed networked infrastructure," IISE Transactions, Taylor & Francis Journals, vol. 52(7), pages 732-750, July.
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    Cited by:

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    3. Jacek Paś & Adam Rosiński & Michał Wiśnios & Marek Stawowy, 2022. "Assessing the Operation System of Fire Alarm Systems for Detection Line and Circuit Devices with Various Damage Intensities," Energies, MDPI, vol. 15(9), pages 1-23, April.

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