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Effective computing algorithm for maintenance optimization of highly reliable systems

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  • BriÅ¡, Radim
  • Byczanski, Petr

Abstract

This paper describes a new iterative numerical algorithm for optimal maintenance strategy respecting a given reliability constraint. It stems from the previous author's research work which brings a new direct analytical method that enables exact reliability quantifications of highly reliable systems with maintenance (both preventive and corrective), i.e. the instantaneous unavailability function is computed in full machine accuracy. The method takes into account systems with highly reliable and maintained components, including repairable components undergoing to hidden failures. The new numerical algorithm for maintenance optimization introduced in this article fully respects previously developed exact computing methodology to solve a cost optimization problem where decision variable is maintenance. The algorithm, which is based on merits of a high performance language for technical computing MATLAB, results from linear approximation of total system cost that is supposed to be a linear function of frequency of maintenance and from limiting unavailability approximation in each iteration step. The optimization method is demonstrated on two systems from practice—a real power distribution network and high pressure injection system of a nuclear power plant.

Suggested Citation

  • BriÅ¡, Radim & Byczanski, Petr, 2013. "Effective computing algorithm for maintenance optimization of highly reliable systems," Reliability Engineering and System Safety, Elsevier, vol. 109(C), pages 77-85.
    • Handle: RePEc:eee:reensy:v:109:y:2013:i:c:p:77-85
    DOI: 10.1016/j.ress.2012.08.010
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    References listed on IDEAS

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    1. Samrout, M. & Châtelet, E. & Kouta, R. & Chebbo, N., 2009. "Optimization of maintenance policy using the proportional hazard model," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 44-52.
    2. Briš, Radim, 2008. "Parallel simulation algorithm for maintenance optimization based on directed Acyclic Graph," Reliability Engineering and System Safety, Elsevier, vol. 93(6), pages 874-884.
    3. Konak, Abdullah & Coit, David W. & Smith, Alice E., 2006. "Multi-objective optimization using genetic algorithms: A tutorial," Reliability Engineering and System Safety, Elsevier, vol. 91(9), pages 992-1007.
    4. R Briš & P Byczanski, 2010. "Direct unavailability computation of a maintained highly reliable system," Journal of Risk and Reliability, , vol. 224(3), pages 159-170, September.
    5. Briš, Radim, 2010. "Exact reliability quantification of highly reliable systems with maintenance," Reliability Engineering and System Safety, Elsevier, vol. 95(12), pages 1286-1292.
    6. Galante, Giacomo & Passannanti, Gianfranco, 2009. "An exact algorithm for preventive maintenance planning of series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 94(10), pages 1517-1525.
    7. Certa, Antonella & Galante, Giacomo & Lupo, Toni & Passannanti, Gianfranco, 2011. "Determination of Pareto frontier in multi-objective maintenance optimization," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 861-867.
    8. Martorell, S. & Carlos, S. & Villanueva, J.F. & Sanchez, A.I & Galvan, B. & Salazar, D. & Cepin, M., 2006. "Use of multiple objective evolutionary algorithms in optimizing surveillance requirements," Reliability Engineering and System Safety, Elsevier, vol. 91(9), pages 1027-1038.
    9. Podofillini, Luca & Zio, Enrico, 2008. "Designing a risk-informed balanced system by genetic algorithms: Comparison of different balancing criteria," Reliability Engineering and System Safety, Elsevier, vol. 93(12), pages 1842-1852.
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    Cited by:

    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.
    2. Briš, Radim & Byczanski, Petr & Goňo, Radomír & Rusek, Stanislav, 2017. "Discrete maintenance optimization of complex multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 80-89.

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