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Reliability Analysis of 6-Component Star Markov Repairable System with Spatial Dependence

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  • Liying Wang
  • Qing Yang
  • Yuran Tian

Abstract

Star repairable systems with spatial dependence consist of a center component and several peripheral components. The peripheral components are arranged around the center component, and the performance of each component depends on its spatial “neighbors.” Vector-Markov process is adapted to describe the performance of the system. The state space and transition rate matrix corresponding to the 6-component star Markov repairable system with spatial dependence are presented via probability analysis method. Several reliability indices, such as the availability, the probabilities of visiting the safety, the degradation, the alert, and the failed state sets, are obtained by Laplace transform method and a numerical example is provided to illustrate the results.

Suggested Citation

  • Liying Wang & Qing Yang & Yuran Tian, 2017. "Reliability Analysis of 6-Component Star Markov Repairable System with Spatial Dependence," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-7, February.
    • Handle: RePEc:hin:jnlmpe:9728019
    DOI: 10.1155/2017/9728019
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    Cited by:

    1. Brown, Bodunrin & Liu, Bin & McIntyre, Stuart & Revie, Matthew, 2022. "Reliability analysis of load-sharing systems with spatial dependence and proximity effects," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    2. Mateusz Oszczypała & Jarosław Ziółkowski & Jerzy Małachowski, 2022. "Analysis of Light Utility Vehicle Readiness in Military Transportation Systems Using Markov and Semi-Markov Processes," Energies, MDPI, vol. 15(14), pages 1-24, July.

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