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Parallel simulation algorithm for maintenance optimization based on directed Acyclic Graph

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  • BriÅ¡, Radim

Abstract

An efficient simulation algorithm for the quantification of reliability performance indicators of a complex system is demonstrated in the paper that is based on Monte Carlo method. A directed Acyclic Graph is used as a useful system representation. A parallel simulation technique is used in the algorithm which is based on the construction of the special course of life sequence of transformed transition times subjected to the corresponding part of the Acyclic Graph. The parts of the Acyclic Graph represent individual subsystems of a given system and may be effectively evaluated from the reliability point of view. The wide range of models for both deterministic and stochastic processes applied on the terminal nodes of the Acyclic Graph is allowed in the algorithm. The use of the algorithm for comparative theoretical calculations as well as for industrial applications is shown by a visual demonstration. A cost-optimization problem is shortly introduced which may be fully solved by the algorithm using additional genetic algorithms as an applicable optimization technique. The problem takes into account also additional objective that is defined as a prescribed constraint of a selected reliability performance indicator. The solution of the cost-optimization problem is demonstrated on two practical examples.

Suggested Citation

  • BriÅ¡, 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.
    • Handle: RePEc:eee:reensy:v:93:y:2008:i:6:p:874-884
    DOI: 10.1016/j.ress.2007.03.036
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    Citations

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    Cited by:

    1. Briš, Radim, 2010. "Exact reliability quantification of highly reliable systems with maintenance," Reliability Engineering and System Safety, Elsevier, vol. 95(12), pages 1286-1292.
    2. Markus Bohlin & Mathias Wärja, 2015. "Maintenance optimization with duration-dependent costs," Annals of Operations Research, Springer, vol. 224(1), pages 1-23, January.
    3. Radim Briš & Pavel Jahoda, 2022. "Really Ageing Systems Undergoing a Discrete Maintenance Optimization," Mathematics, MDPI, vol. 10(16), pages 1-17, August.
    4. Sleptchenko, Andrei & Turan, Hasan Hüseyin & Pokharel, Shaligram & ElMekkawy, Tarek Y., 2019. "Cross-training policies for repair shops with spare part inventories," International Journal of Production Economics, Elsevier, vol. 209(C), pages 334-345.
    5. Bris, Radim & Medonos, Sava & Wilkins, Chris & Zdráhala, Adam, 2014. "Time-dependent risk modeling of accidental events and responses in process industries," Reliability Engineering and System Safety, Elsevier, vol. 125(C), pages 54-66.
    6. KanÄ ev, DuÅ¡ko & ÄŒepin, Marko & Gjorgiev, Blaže, 2014. "Development and application of a living probabilistic safety assessment tool: Multi-objective multi-dimensional optimization of surveillance requirements in NPPs considering their ageing," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 135-147.
    7. Briš, 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.
    8. Pinciroli, Luca & Baraldi, Piero & Zio, Enrico, 2023. "Maintenance optimization in industry 4.0," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    9. Kaegi, M. & Mock, R. & Kröger, W., 2009. "Analyzing maintenance strategies by agent-based simulations: A feasibility study," Reliability Engineering and System Safety, Elsevier, vol. 94(9), pages 1416-1421.
    10. Akl, Amany M. & El Sawah, Sondoss & Chakrabortty, Ripon K. & Turan, Hasan Hüseyin, 2022. "A Joint Optimization of Strategic Workforce Planning and Preventive Maintenance Scheduling: A Simulation–Optimization Approach," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    11. Radim Briš & Petr Byczanski, 2017. "On innovative stochastic renewal process models for exact unavailability quantification of highly reliable systems," Journal of Risk and Reliability, , vol. 231(6), pages 617-627, December.
    12. Radim Briš & Nuong Thi Thuy Tran, 2023. "Discrete Model for a Multi-Objective Maintenance Optimization Problem of Safety Systems," Mathematics, MDPI, vol. 11(2), pages 1-18, January.

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