THE RELIABILITY MEASURES COMPUTATION OF THE SERIES CONNECTED AND RESERVED ELEMENTS WITHOUT RECOVERY FOR DIFFUSION-NONMONOTONIC DISTRIBUTION OF THEIR FAILURES

Volodymyr I. Mirnenko, Serhii O. Pustovyi, Petro M. Yablonskyi

Abstract


In the article is carried out the computation of reliability function and mean time between failures of the series connected and reserved elements without recovery for diffusion-nonmonotonic distribution of their failures. Calculations are carried out for the wares of electronic type. The shown dependence of function of DN-distribution is at the different values of coefficients of scale and shape. Taking into account, that failure rate carries information about a failure density and distribution function, the dependence over of failure rate on current time for the different values of coefficients of scale and shape was given. Calculations are carried out for the hypothetical elements of electronic wares. If the t→∞, the failure rate go to some constant magnitude which is characteristic for DN-distribution. Mean operating time between failures decreases with increasing the quantity consistently of united elements, and with increasing the scale and shape coefficient – increasing. The increase of number of in-parallel united elements does not allow substantially promoting mean operating time between failures of the system on the whole at low reliability of elements. Increasing the scale coefficient leads to increasing probability of consistently and in-parallel united elements. The increase of redundancy ratio results leads to increasing mean operating time between failures for in-parallel united elements. For the consistently united elements increasing the number of elements leads to decreasing mean operating time between failures. The probability comparison of the mean time between failures for series and parallel connected elements for exponential and diffusion-nonmonotonic distribution laws is given.

Keywords


reliability function; mean operating time between failures; scale and shape coefficients of diffusion-nonmonotonic law

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