Cumulative Conforming Control Chart Assuming Discrete Weibull Distribution

被引:8
作者
Ali, Sajid [1 ]
Zafar, Tanzila [1 ]
Shah, Ismail [1 ]
Wang, Lichen [2 ]
机构
[1] Quaid I Azam Univ, Dept Stat, Islamabad 45320, Pakistan
[2] Linyi Univ, Coll Life Sci, Linyi 276000, Peoples R China
来源
IEEE ACCESS | 2020年 / 8卷
关键词
Average run length; discrete Weibull distribution; coefficient of variation; process monitoring; TIME; COUNT; MODEL;
D O I
10.1109/ACCESS.2020.2964602
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Time Between Events (TBE) charts have advantages over the traditional control charts when monitoring high quality processes with very low defect rates. This article introduces a new discrete TBE control chart following discrete Weibull distribution. The design of the proposed chart is derived analytically and discussed numerically. Moreover, the performance is assessed by using the Average Run Length (ARL) and the Coefficient of Variation of Run Length (CVRL). Besides simulation studies, the proposed scheme is also illustrated using four real data examples.
引用
收藏
页码:10123 / 10133
页数:11
相关论文
共 50 条
[21]   Time truncated attribute control chart for the Weibull distribution using multiple dependent state sampling [J].
Aslam, Muhammad .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2019, 48 (04) :1219-1228
[22]   MaxEWMA Control Chart for a Weibull Process with Individual Measurements [J].
Wang, Fu-Kwun .
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2017, 33 (02) :369-379
[23]   A new sudden death chart for the Weibull distribution under complexity [J].
Osama H. Arif ;
Muhammad Aslam .
Complex & Intelligent Systems, 2021, 7 :2093-2101
[24]   A new sudden death chart for the Weibull distribution under complexity [J].
Arif, Osama H. ;
Aslam, Muhammad .
COMPLEX & INTELLIGENT SYSTEMS, 2021, 7 (04) :2093-2101
[25]   Bayesian Estimation and Prediction for Discrete Weibull Distribution [J].
Monthira Duangsaphon ;
Rateeya Santimalai ;
Andrei Volodin .
Lobachevskii Journal of Mathematics, 2023, 44 :4693-4703
[26]   Discrete Weibull geometric distribution and its properties [J].
Jayakumar, K. ;
Babu, M. Girish .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (07) :1767-1783
[27]   When is the discrete Weibull distribution infinitely divisible? [J].
Kreer, Markus ;
Kizilersu, Ayse ;
Thomas, Anthony W. .
STATISTICS & PROBABILITY LETTERS, 2024, 215
[28]   A moving average control chart for monitoring the fraction non-conforming [J].
Khoo, MBC .
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2004, 20 (06) :617-635
[29]   Improving Shewhart control chart performance for monitoring the Weibull mean [J].
Ho, Linda Lee ;
Fernandes, Fidel Henrique ;
Quinino, Roberto C. ;
Bourguignon, Marcelo .
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2021, 37 (03) :984-996
[30]   New V control chart for the Maxwell distribution [J].
Hossain, M. Pear ;
Omar, M. Hafidz ;
Riaz, Muhammad .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2017, 87 (03) :594-606