Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

APPROXIMATE CONFIDENCE LIMITS OF THE RELIABILITY PERFORMANCES FOR A COLD STANDBY SERIES SYSTEM

  • SHI YIMIN (Department of Applied Mathematics, Northwestern Polytecnical University) ;
  • SRI XIAOLIN (University of Hong Kong) ;
  • XU YONG (Department of Applied Mathematics, Northwestern Polytecnical University)
  • Published : 2005.09.01

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Abstract

This paper is to investigate the approximate confidence limits of the reliability performances (such as failure rate, reliability function and average life) for a cold standby series system. The Bayesian approximate upper confidence limit of failure rate is obtained firstly, and next Bayesian approximate lower confidence limits for reliability function and average life are presented. The expressions for calculating Bayesian lower confidence limits of the reliability function and average life are also obtained, and an illustrative example is examined numerically by means of the Monte-Carlo simulation. Finally, the accuracy of confidence limits is discussed.

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