VSI X and R Control Charts with B&L Switching Rule

Author

Guo, Zhifang ; Cheng, Longsheng

Author_Institution

Sch. of Econ. & Manage., Nanjing Univ. of Sci. & Technol., Nanjing, China

Volume

1

fYear

2011

fDate

24-25 Sept. 2011

Firstpage

60

Lastpage

62

Abstract

Based on the existing VSI X̅ and R charts, a model of performance analysis on a VSI X̅ and R charts is developed with application of B&L switching rule. The Markov chain approach is used to obtain the expressions of ATS, AATS, and ANSW. At the same time, a comparison of the developed and existing VSI X̅ and R charts is presented. The results show the developed model can detect process shifts quickly and reduce the average number of switches between short and long sampling intervals parameters while they are comparable with respect to the average time to signal. With the application of B&L Switching rule, the shortcoming of excessive number of switches among different parameters can be effectively solved. And the recommend switching parameter L is 3.

Keywords

Markov processes; control charts; AATS; ANSW; ATS; B&L switching rule; Markov chain approach; R control chart; VSI X̅ control chart; adjusted average time to signal; average number of switch; average time to signal; performance analysis model; process shift detection; variable sampling interval parameter; Adaptive control; Control charts; Economics; Educational institutions; Markov processes; Process control; Switches; Control chart; Markov chain; Switching rule; Variable sampling interval;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Technology, Computer Engineering and Management Sciences (ICM), 2011 International Conference on

Conference_Location

Nanjing, Jiangsu

Print_ISBN

978-1-4577-1419-1

Type

conf

DOI

10.1109/ICM.2011.43

Filename

6113355