Optimal Design of One-sided Synthetic Exponential Charts with Known and Estimated Parameters Based on the Median Run Length

被引：0

作者：

Qiao, Yulong ^{[1
]}

Hu, Xuelong ^{[2
]}

Sun, Jinsheng ^{[1
]}

Xu, Qin ^{[3
]}

Kong, Jianshou ^{[4
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing, Peoples R China

[2] Nanjing Univ Posts & Telecommun, Sch Management, Nanjing, Peoples R China

[3] Jinling Inst Technol, Sch Network & Commun Engn, Nanjing, Peoples R China

[4] Changshu Intelligent Mfg & Laser Equipment Res In, Changshu, Jiangsu, Peoples R China

来源：

PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020) | 2020年

基金：

中国国家自然科学基金;

关键词：

Control chart; Estimated parameters; Median run length; Exponential distribution; Synthetic X chart; MONITORING PROCESS DISPERSION; TIME-BETWEEN-EVENTS; EWMA CHART; ROBUSTNESS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The one-sided synthetic exponential chart is used to improve the performance of exponential Shewhart chart, which includes two sub-chart: an exponential Shewhart X sub-chart and a conforming run length (CRL) sub-chart. It is noticed that the shape of the run length distribution of the one-sided synthetic exponential chart is highly skewed, which makes the median run length (MRL) as a better alternative performance measure. Hence, MRL-based one-sided synthetic exponential charts with known and estimated parameters are focused in this article. Furthermore, an optimal procedure is developed to obtain the optimal parameter combinations for minimizing the out-of-control MRL based on a desired in-control MRL, and several optimal parameter combinations are presented for practitioners.

引用

页码：1301 / 1306

页数：6

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