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System reliability estimation and cost analysis of series-parallel systems in the presence of repair dependence function

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  • K.C. Siju
  • M. Kumar

Abstract

In this paper, we consider two types of series-parallel systems with the following specifications: (a) subsystems having identical parallel components (b) subsystems having non-identical parallel components. Assume that s repairmen are available at each of the parallel subsystems. The time to failure and time to repair are assumed to be exponentially distributed. In this work, we introduce the repair dependence function that facilitates the s repairmen to provide service individually or together with respect to the number of failed components. The continuous time Markov model is used to study the effect of repair dependence function on the reliability and availability of the respective systems. The cost analysis and cost-benefit analysis based on mean time to failure and steady state availability are also presented. Finally, we illustrate our results through MATLAB programming by considering some examples.

Suggested Citation

  • K.C. Siju & M. Kumar, 2016. "System reliability estimation and cost analysis of series-parallel systems in the presence of repair dependence function," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 10(1), pages 48-71.
    • Handle: RePEc:ids:ijrsaf:v:10:y:2016:i:1:p:48-71
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    Cited by:

    1. Mellal, Mohamed Arezki & Zio, Enrico & Al-Dahidi, Sameer & Masuyama, Naoki & Nojima, Yusuke, 2023. "System design optimization with mixed subsystems failure dependencies," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    2. Mohamed Arezki Mellal & Enrico Zio, 2019. "An adaptive cuckoo optimization algorithm for system design optimization under failure dependencies," Journal of Risk and Reliability, , vol. 233(6), pages 1099-1105, December.

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