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A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations

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  • Renbin Liu
  • Yong Wu

Abstract

Based on the renewal process theory we develop a decomposition method to analyze the reliability of the repair facility in an n -unit series system with vacations. Using this approach, we study the unavailability and the mean replacement number during ( 0 , t ] of the repair facility. The method proposed in this work is novel and concise, which can make us see clearly the structures of the facility indices of a series system with an unreliable repair facility, two convolution relations. Special cases and numerical examples are given to show the validity of our method.

Suggested Citation

  • Renbin Liu & Yong Wu, 2012. "A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-16, July.
    • Handle: RePEc:hin:jnljam:182975
    DOI: 10.1155/2012/182975
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