Paper Info
Title
The dual CUSUM charts with auxiliary information for process mean
Abstract
The CUSUM chart is usually designed based on a known shift size when monitoring the process mean. In practice, shift size is rarely known but it can be assumed to vary within an interval. With such a range of shift size, the dual CUSUM (DCUSUM) chart provides more sensitivity than the CUSUM chart. In this paper, auxiliary information based (AIB) DCUSUM and dual Crosier CUSUM (DCCUSUM) charts with and without fast initial response (FIR) features are proposed for efficiently monitoring the infrequent changes in the process mean, named the AIB-DCUSUM and AIB-DCCUSUM charts, respectively. Monte Carlo simulations are used to compute the run length characteristics of these control charts. The AIB-DCUSUM and AIB-DCCUSUM charts with and without FIR features are compared with the DCUSUM, DCCUSUM and AIB-CUSUM charts in terms of the integral relative average run length. It is found that the proposed charts show better performance when detecting mean shifts in different ranges. A simulated dataset is considered to illustrate the implementation of existing and proposed charts.
Year
DOI
Venue
2022
10.1080/03610918.2019.1648824
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
DocType
Volume
Auxiliary information, Average run length, Control chart, CUSUM, DCUSUM, Process mean, Statistical Process Control
Journal
51
Issue
ISSN
Citations 
1
0361-0918
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Abdul Haq16318.42
Lubna Bibi200.68