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An LDQBD process under degradation, inspection, and two types of repair

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  • Montoro Cazorla, Delia
  • Pérez-Ocón, Rafael

Abstract

A warm standby n-system with operational and repair times following phase-type distributions is considered. The online unit goes through degradating levels, determined by inspections. Two types of repairs are performed, preventive and corrective, depending on the degradation level. The standby units undergo corrective repair. This systems is governed by a level-dependent-quasi-birth-and-death proces (LDQBD process), whose generator is constructed. The availability, rate of occurrence of failures, and other quantities of interest are calculated. A numerical example including an optimization problem and illustrating the calculations is presented. This system extend other previously studied in the literature.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:190:y:2008:i:2:p:494-508
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    1. 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.
    2. Perez-Ocon, Rafael & Montoro-Cazorla, Delia, 2006. "A multiple warm standby system with operational and repair times following phase-type distributions," European Journal of Operational Research, Elsevier, vol. 169(1), pages 178-188, February.
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    Cited by:

    1. Wu, Hui & Li, Yan-Fu & Bérenguer, Christophe, 2020. "Optimal inspection and maintenance for a repairable k-out-of-n: G warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 193(C).

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