z-logo
Premium
Evaluation of Shewhart time‐between‐events‐and‐amplitude control charts for correlated data
Author(s) -
Rahali Dorra,
Castagliola Philippe,
Taleb Hassen,
Khoo Michael Boon Chong
Publication year - 2021
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2731
Subject(s) - control chart , weibull distribution , statistics , amplitude , mathematics , exponential function , exponential distribution , gamma distribution , shewhart individuals control chart , distribution (mathematics) , computer science , ewma chart , physics , mathematical analysis , process (computing) , quantum mechanics , operating system
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 ratioX 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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here