Title :
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
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;
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
DOI :
10.1109/ICM.2011.43
