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A deteriorating two-system with two repair modes and sojourn times phase-type distributed

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  • Montoro-Cazorla, Delia
  • Pérez-Ocón, Rafael

Abstract

We study a two-unit cold standby system in steady-state. The online unit goes through a finite number of stages of successive degradation preceding the failure. The units are reparable, there is a repairman and two types of maintenance are considered, preventive and corrective. The preventive repair aims to improve the degradation of a unit being operative. The corrective repair is necessary when the unit fails. We will assume that the preventive repair will be interrupted in favour of a corrective repair in order to increase the availability of the system. The random operational and repair times follow phase-type distributions. For this system, the stationary probability vector, the replacement times, and the involved costs are calculated. An optimisation problem is illustrated by a numerical example. In this, the optimal degradation stage for the preventive repair of the online unit is determined by taking into account the system availability and the incurred costs.

Suggested Citation

  • Montoro-Cazorla, Delia & Pérez-Ocón, Rafael, 2006. "A deteriorating two-system with two repair modes and sojourn times phase-type distributed," Reliability Engineering and System Safety, Elsevier, vol. 91(1), pages 1-9.
    • Handle: RePEc:eee:reensy:v:91:y:2006:i:1:p:1-9
    DOI: 10.1016/j.ress.2003.12.013
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    References listed on IDEAS

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    1. Frank A. Van der Duyn Schouten & Pieter Wartenhorst, 1994. "Transient Analysis of a Two-Unit Standby System with Markovian Degrading Units," Management Science, INFORMS, vol. 40(3), pages 418-428, March.
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    Cited by:

    1. Chen, Jinyuan & Li, Zehui, 2008. "An extended extreme shock maintenance model for a deteriorating system," Reliability Engineering and System Safety, Elsevier, vol. 93(8), pages 1123-1129.
    2. Csenki, Attila, 2009. "Stochastic demand patterns for Markov service facilities with neutral and active periods," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 382-393.
    3. Liu, Baoliang & Cui, Lirong & Wen, Yanqing & Shen, Jingyuan, 2015. "A cold standby repairable system with working vacations and vacation interruption following Markovian arrival process," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 1-8.
    4. 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.
    5. Gao, Hongda & Cui, Lirong & Yi, He, 2019. "Availability analysis of k-out-of-n: F repairable balanced systems with m sectors," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    6. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael & del Carmen Segovia, Maria, 2009. "Replacement policy in a system under shocks following a Markovian arrival process," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 497-502.
    7. Montoro Cazorla, Delia & Pérez-Ocón, Rafael, 2008. "An LDQBD process under degradation, inspection, and two types of repair," European Journal of Operational Research, Elsevier, vol. 190(2), pages 494-508, October.
    8. Delia, Montoro-Cazorla & Rafael, Perez-Ocon, 2008. "A maintenance model with failures and inspection following Markovian arrival processes and two repair modes," European Journal of Operational Research, Elsevier, vol. 186(2), pages 694-707, April.

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