An Attribute Control Chart Based on the Birnbaum-Saunders Distribution Using Repetitive Sampling

被引:18
作者
Aslam, Muhammad [1 ]
Arif, Osama H. [1 ]
Jun, Chi-Hyuck [2 ]
机构
[1] King Abdulaziz Univ, Dept Stat, Fac Sci, Jeddah 21551, Saudi Arabia
[2] POSTECH, Dept Ind & Management Engn, Pohang 37673, South Korea
来源
IEEE ACCESS | 2016年 / 4卷
关键词
Attribute chart; Birnbaum-Saunders distribution; average run length (ARL); control chart; NON-CONFORMING PROPORTION; LIFE TESTS; DESIGN; PLANS;
D O I
10.1109/ACCESS.2016.2643692
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, an attribute control chart using repetitive sampling is proposed when the lifetime of a product follows the Birnbaum Saunders distribution. The number of failures is to be monitored by designing two pairs of upper and lower control limits. The necessary measurements are derived to assess the average run length (ARL). The various tables for ARLs are presented when the scale parameter and/or the shape parameter are shifted. The efficiency of the proposed control chart is compared with an existing chart. The proposed chart is shown to be more efficient than an existing control chart in terms of ARL. A real example is given for illustration purpose.
引用
收藏
页码:9350 / 9360
页数:11
相关论文
共 38 条
[11]   New Attributes and Variables Control Charts under Repetitive Sampling [J].
Aslam, Muhammad ;
Azam, Muhammad ;
Jun, Chi-Hyuck .
INDUSTRIAL ENGINEERING AND MANAGEMENT SYSTEMS, 2014, 13 (01) :101-+
[12]   Designing of a new monitoring t-chart using repetitive sampling [J].
Aslam, Muhammad ;
Khan, Nasrullah ;
Azam, Muhammad ;
Jun, Chi-Hyuck .
INFORMATION SCIENCES, 2014, 269 :210-216
[13]   Developing a variables repetitive group sampling plan based on process capability index C pk with unknown mean and variance [J].
Aslam, Muhammad ;
Wu, Chien-Wei ;
Jun, Chi-Hyuck ;
Azam, Muhammad ;
Itay, Negrin .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2013, 83 (08) :1507-1517
[14]   New acceptance sampling plans based on life tests for Birnbaum-Saunders distributions [J].
Aslam, Muhammad ;
Jun, Chi-Hyuck ;
Ahmad, Munir .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2011, 81 (04) :461-470
[15]   Designing of a hybrid exponentially weighted moving average control chart using repetitive sampling [J].
Azam, Muhammad ;
Aslam, Muhammad ;
Jun, Chi-Hyuck .
INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2015, 77 (9-12) :1927-1933
[16]   Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution [J].
Balakrishnan, N. ;
Leiva, Victor ;
Lopez, Jorge .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2007, 36 (03) :643-656
[17]   A NEW FAMILY OF LIFE DISTRIBUTIONS [J].
BIRNBAUM, ZW ;
SAUNDERS, SC .
JOURNAL OF APPLIED PROBABILITY, 1969, 6 (02) :319-&
[18]   Economic statistical design of non-uniform sampling scheme X bar control charts under non-normality and Gamma shock using genetic algorithm [J].
Chen, F. L. ;
Yeh, C. H. .
EXPERT SYSTEMS WITH APPLICATIONS, 2009, 36 (05) :9488-9497
[19]   Economic design of T2 control charts with the VSSI sampling scheme [J].
Chen, Yan-Kwang .
QUALITY & QUANTITY, 2009, 43 (01) :109-122
[20]   Attribute control chart for multivariate Poisson distribution [J].
Chiu, Jing-Er ;
Kuo, Tsen-I .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2008, 37 (01) :146-158