Title: Reliability analysis of non-repairable weighted k-out-of-n system using belief universal generating function

Authors: Namita Jaiswal; Seema Negi; S.B. Singh

Addresses: Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, India

Abstract: In this study reliability analysis of non-repairable weighted k-out-of-n: G (F) systems by incorporating uncertainties namely aleatory and epistemic have been considered. To remove these uncertainties the combination of mass distribution, fuzzy exponential distribution and belief universal generating function have been used. The failure rate (λ) of each component is taken as trapezoidal fuzzy number. Using the proposed method fuzzy reliability function of each component have been calculated and then distributed masses among the components. With the help of these masses reliability and MTTF of the proposed system have been obtained. Lastly, a numerical example is taken to understand the proposed method.

Keywords: weighted k-out-of-n system; fuzzy exponential distribution; belief universal generating function; BUGF; system reliability; mean time to failure.

DOI: 10.1504/IJISE.2018.089741

International Journal of Industrial and Systems Engineering, 2018 Vol.28 No.3, pp.300 - 318

Received: 04 Nov 2015
Accepted: 05 Feb 2016
Published online: 09 Feb 2018 *

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