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Article Navigation> JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY> 2009> 18(1): 117-120
ZHENG Zhi-hua, CUI Li-rong. Availability Analysis of Parallel Repairable System with Omitted Failures[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2009, 18(1): 117-120.
Citation: ZHENG Zhi-hua, CUI Li-rong. Availability Analysis of Parallel Repairable System with Omitted Failures[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2009, 18(1): 117-120.
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Availability Analysis of Parallel Repairable System with Omitted Failures

  • 1.

    School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;School of Management, Inner Mongolia University of Technology, Hohhot 010051, China

  • 2.

    School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China

  • Received Date:2008-07-11
    Abstract
  • The new model for parallel repairable system is introduced, and it is based on the practice problems of maintenance and the idea of Ion-Channel modeling. In the new model, repair times that are sufficiently short (less than some critical value) do not result in system failure, and such a repair interval is omitted from the downtime record. Usually, the underlying process is Markov process if the durations of working and repair time have the negative-exponential distributions, but the new system has not the Markov properties, which is worth to study. The reliability indexes such as instantaneous availability and steady-state availabilities for the new system are given through probability analysis. A numerical example is given to illustrate the results.
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    • References (10)
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    Hawkes A G, Jalali A, Colquhoun D. Asymptotic distributions of apparent open times and shut times in a single channel record allowing for the omission of brief events[J]. Phil Trans R Soc London B, 1992, 337: 511-538.
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    Cui Lirong, Li Haijun, Li Jinlin. Markov repairable systems with history dependent up and down states[J]. Stochastic Models, 2007, 23: 665-681.
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    Chaudhary A, Naresh S K, Varshney G. A two non-identical unit parallel/standby system model with single or double phase(s) of repair[J]. International Journal of Agricultural and Statistical Sciences, 2007, 3(1): 249-259.
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    Zheng Zhihua, Cui Lirong, Hawkes A G. A study on a single-unit Markov repairable system with repair time omission[J]. IEEE Transactions on Reliability, 2006, 55(2): 182-188.
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    Zheng Zhihua, Cui Lirong, Gao Song. A study on a single-unit Markov repairable system with omitted failures //Risk, Reliability and Societal Safety. Norway: Taylor & Francis, 2007: 1893-1897.
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    Zheng Zhihua, Cui Lirong, Alan G Hawkes. A further study on a single-unit repairable system //Proceedings of the seventh international conference on reliability, maintainability and safety. Beijing: China Astronautic Publishing House, 2007: 151-155.
    [8]
    Zheng Zhihua. A study on a single-unit markov repairable system with effects neglected or delayed of failures . Beijing: School of Management & Economics, Beijing Institute of Technology, 2006. (in Chinese)
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