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Volume 42 Issue 1
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Journal of Beijing University of Aeronautics and Astronautics  > 2016  >  42(1): 28-34.
YANG Yi, REN Sichao, YU Yongliet al. Theory analysis of system instantaneous availability under uniform distribution[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(1): 28-34. doi: 10.13700/j.bh.1001-5965.2015.0058(in Chinese)
Citation: YANG Yi, REN Sichao, YU Yongliet al. Theory analysis of system instantaneous availability under uniform distribution[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(1): 28-34. doi: 10.13700/j.bh.1001-5965.2015.0058(in Chinese)
shu

Theory analysis of system instantaneous availability under uniform distribution

doi: 10.13700/j.bh.1001-5965.2015.0058
  • 1.

    School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

  • 2. School of Sciences, Nanjing University of Science and Technology, Nanjing 210094, China

  • 3. Department of Equipment Command and Management, Ordnance Engineering College, Shijiazhuang 050003, China

Funds:  National Natural Science Foundation of China (61104132, 61573041)
  • Received Date: 29 Jan 2015
  • Publish Date: 20 Jan 2016
    Abstract
  • The early volatility of instantaneous availability which belonged to one-unit repairable system was analyzed in theory. Recent research progress on two kinds of availabilities was reported and the importance of research on the instantaneous availability was highlighted. It was respectively discussed that the failure time and repair time of system components obeyed the same as well as different uniform distribution, and then the renewal equation was transformed into piecewise ordinary differential equations or delay differential equations. The analytical expressions of instantaneous availability were obtained from the differential equations by the use of the continuity and initial value. A method was put forward to judge the volatility of instantaneous availability, that is, to judge whether there existed the value of instantaneous availability less than that of the steady-state availability. The method has been proved to be effective, and the conclusion demonstrates that the volatility exists regardless of any parameter combination under uniform distribution. The final simulation results are in good agreement with the theoretical results.

     

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