Signature reliability of linear multi-state sliding window system

Abstract

Purpose

The purpose of this paper is to deal with a linear multi-state sliding window coherent system which generalizes the consecutive k-out-of-r-from-n:F system in the multi-state case. The system has n linearly ordered multi-state elements consisting of m parallel independent and identically distributed elements. Every element of the system can have two states: completely working or totally failed. The system fails if the sum of performance rate is lower than the given weight.

Design/methodology/approach

The authors proposed to compute the signature, MTTF and Barlow–Proschan index with the help of UGF technique of multi-state SWS which consists of m parallel i.i.d. components in each multi-state window.

Findings

In the present study, the authors have evaluated the signature reliability, expected lifetime, cost analysis and Barlow–Proschan index.

Originality/value

In this study, the authors have studied a linear multi-state sliding window system which consists of n ordered multi-state element, and each multi-state element also consists of m parallel windows. The focus of the present paper is to evaluate reliability metrices of the considered system with the help of signature from using the universal generating function.

Citation

Kumar, A. and Singh, S.B. (2018), "Signature reliability of linear multi-state sliding window system", International Journal of Quality & Reliability Management, Vol. 35 No. 10, pp. 2403-2413. https://doi.org/10.1108/IJQRM-04-2017-0083