On the reliability of complex systems with three dependent components per element

Authors

  • Mostafa Razmkhah Department of Statistics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran.
  • Zahra Saberzade
Abstract:

‎The complex system containing n elements‎, ‎each having three dependent components‎, ‎is described‎. ‎The reliability function of such systems is investigated using a trivariate binomial model‎. ‎In addition‎, ‎the mean residual life function of a complex system with intact components at time t is derived‎. ‎The results are simplified for a trivariate Farlie-Gumbel-Morgenstern family with standard exponential marginal distribution functions‎. ‎The effect of various parameters on the reliability and mean residual life functions are studied via some graphical representations.

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Journal title

volume 16  issue None

pages  1- 17

publication date 2017-06

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