EVALUATION OF RELIABILITY AND MTSF OF A PARALLEL SYSTEM WITH WEIBULL FAILURE LAWS

  • S. K. Chauhan Department of Statistics, M.D. University, Rohtak, India
  • S. C. Malik Department of Statistics, M.D. University, Rohtak, India
Keywords: Parallel System, Reliability, MTSF, Weibull Distribution, Rayleigh Distribution

Abstract

The performance of systems can be improved by providing appropriate structural design of the components. And, therefore, the basic concentration of the scholars is to identify the most suitable technique that can be used to improve the reliability of operating systems. The provision of series and parallel structures of the components in the systems has been considered as the effective one to maintain life of the systems for a considerable period with least possible costs. The reliability and mean time to system failure (MTSF) of such systems have been evaluated by the researchers with a common assumption that the failure rate of the components follows negative exponential distribution. But there are several systems in which components may have monotonic failure rates and in such cases Weibull distribution can be used due to its versatile character and relative simplicity. Here, the reliability and MTSF of a parallel system are obtained by considering Weibull failure laws. The behaviour of these measures has been examined for arbitrary values of the failure rates, operating time, shape parameter (β) and number of components. The values of these measures have also been evaluated for a special case of Weibull distribution i.e. Rayleigh distribution.

 

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Published
2017-06-06
Section
Articles