Evaluation of Shewhart time‐between‐events‐and‐amplitude control charts for correlated data. (21st August 2020)

• Record Type: Journal Article
• Authors: Rahali, Dorra; Castagliola, Philippe; Taleb, Hassen; Khoo, Michael Boon Chong
• Is Part Of: Quality and reliability engineering international. Volume 37:Number 1(2021)
• Page Start: 219
• Page End: 241
• Publication Date: 2020-08-21
• Subjects: amplitude -- copulas -- machine breakdowns -- statistical process monitoring -- time between events; Reliability (Engineering) -- Periodicals; Quality control -- Periodicals; High technology -- Periodicals; 620.00452
• DOI: 10.1002/qre.2731
• Languages: English
• ISSNs: 0748-8017

Abstract

Abstract: In recent years, several techniques based on control charts have been developed for the simultaneous monitoring of the time interval T and the amplitude X of events, known as time‐between‐events‐and‐amplitude (TBEA) charts. However, the vast majority of the existing works have some limitations. First, they usually focus on statistics based on the ratio X T, and second, they only investigate a reduced number of potential distributions, that is, the exponential distribution for T and the normal distribution for X . Moreover, until now, very few research papers have considered the potential dependence between T and X . In this paper, we investigate three different statistics, denoted as Z 1, Z 2, and Z 3, for monitoring TBEA data in the case of three potential distributions (gamma, normal, and Weibull), for both T and X, using copulas as a mechanism to model the dependence. An illustrative example considering times between machine breakdowns and associated maintenance illustrates the use of TBEA control charts.