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Novel Mixed EWMA Dual-Crosier CUSUM Mean Charts without and with Auxiliary Information.
- Source :
- Mathematical Problems in Engineering; 3/29/2022, p1-15, 15p
- Publication Year :
- 2022
-
Abstract
- The classical cumulative SUM (CUSUM) chart is commonly used to monitor a particular size of the mean shift. In many real processes, it is assumed that the shift level varies within a range, and the exact level of the shift size is mostly unknown. For detecting a range of shift size, the dual-CUSUM (DC) and dual-Crosier CUSUM (DCC) charts are used to provide better detection ability as compared to the CUSUM and Crosier CUSUM (CC) charts, respectively. This paper introduces a new mixed exponentially weighted moving average (EWMA)-DCC (EDCC) chart to monitor process mean. In addition, AIB-based EWMA-DC (EDC) and EDCC charts (namely, AIB-EDC and AIB-EDCC charts) are suggested to detect shifts in the process mean level. Monte Carlo simulations are used to compute the run length (RL) characteristics of the proposed charts. A detailed comparison of the proposed schemes with other competing charts is also provided. It turns out that the proposed chart provides better performance than the counterparts when detecting a range of mean shift sizes. A real-life application is also presented to illustrate the implementation of the existing and proposed charts. [ABSTRACT FROM AUTHOR]
- Subjects :
- CUSUM technique
MONTE Carlo method
MOVING average process
Subjects
Details
- Language :
- English
- ISSN :
- 1024123X
- Database :
- Complementary Index
- Journal :
- Mathematical Problems in Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 155997730
- Full Text :
- https://doi.org/10.1155/2022/1362193