Reliability evaluation of repairable weighted system using interval valued universal generating function

Abstract

Purpose

To find the reliability characteristics of repairable weighted (u, v)- out-of-(x, y) system using the interval valued universal generating function (IUGF).

Design/methodology/approach

In this paper (u, v)-out-of-(x, y) system is an extension of the k-out-of-n system. Here, the interval valued universal generating function (UGF) is present and the corresponding operators are defined.

Findings

The present paper proposes a interval valued universal generating function (IUGF) to compute the reliability indices of the considered system. The current study investigates the reliability and sensitivity of the proposed system with respect to system parameters by applying Markov process with the help of the interval valued UGF approach.

Originality/value

In this work, the considered system, i.e. repairable weighted (u, v)-of-the- (x, y) is the extension of k-out-of-n system for the assessment of reliability characteristics using the interval valued UGF.

Citation

Bisht, S., Singh, S.B. and Tamta, R. (2020), "Reliability evaluation of repairable weighted system using interval valued universal generating function", International Journal of Quality & Reliability Management, Vol. 37 No. 6/7, pp. 957-981. https://doi.org/10.1108/IJQRM-08-2019-0269