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Establishment of the optimal time interval between periodic inspections for redundant systems

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  • Alebrant Mendes, Angélica
  • Coit, David W.
  • Duarte Ribeiro, José Luis

Abstract

For redundant systems with periodic inspections, the establishment of the optimal time interval between inspections that maximize availability and minimize costs is a challenging issue. This paper develops a model to analyze the reliability and determine the optimal interval between inspections of redundant systems subjected to periodic inspections. It uses discrete time Markov Chains to define the transition probabilities between the state of the systems and the costs related with each state. To optimize the time between inspections, the total cost per cycle was minimized using the Markov Chain properties followed by a numerical search technique. Four models of systems are analyzed and numerical examples for systems comprised of two and three components are presented: Model I – Active redundancy without component repair; Model II – Active redundancy with component repair; Model III – Standby redundancy without component repair and Model IV – Standby redundancy with component repair. The main advantage of the model used in this paper is the inclusion of costs for unavailability and production losses through the definition of the downtime costs that penalize the model when the system fails. This model can also be extended and generalized to determine the optimal interval between inspections in systems with active or inactive redundancies and with n components.

Suggested Citation

  • Alebrant Mendes, Angélica & Coit, David W. & Duarte Ribeiro, José Luis, 2014. "Establishment of the optimal time interval between periodic inspections for redundant systems," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 148-165.
    • Handle: RePEc:eee:reensy:v:131:y:2014:i:c:p:148-165
    DOI: 10.1016/j.ress.2014.06.021
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    References listed on IDEAS

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    Cited by:

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    2. Sharifi, Mani & Taghipour, Sharareh & Abhari, Abdolreza, 2021. "Inspection interval optimization for a k-out-of-n load sharing system under a hybrid mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    3. Xian Zhao & Jing Zhang & Xiaoyue Wang, 2019. "Joint optimization of components redundancy, spares inventory and repairmen allocation for a standby series system," Journal of Risk and Reliability, , vol. 233(4), pages 623-638, August.
    4. Liu, Yongchao & Wang, Guanjun & Liu, Peng, 2024. "A condition-based maintenance policy with non-periodic inspection for k-out-of-n: G systems," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    5. Hajipour, Yassin & Taghipour, Sharareh, 2016. "Non-periodic inspection optimization of multi-component and k-out-of-m systems," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 228-243.
    6. Golmohammadi, Elnaz & Ardakan, Mostafa Abouei, 2022. "Reliability optimization problem with the mixed strategy, degrading components, and a periodic inspection and maintenance policy," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    7. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    8. Edson Ruschel & Eduardo Alves Portela Santos & Eduardo de Freitas Rocha Loures, 2020. "Establishment of maintenance inspection intervals: an application of process mining techniques in manufacturing," Journal of Intelligent Manufacturing, Springer, vol. 31(1), pages 53-72, January.
    9. Peng, Rui & Liu, Bin & Zhai, Qingqing & Wang, Wenbin, 2019. "Optimal maintenance strategy for systems with two failure modes," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 624-632.

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