A Synthetic Variable Parameter X¯bar Control Charts to Detect Small and Moderate Shifts
Keywords:
Control charts, Markov chain, synthetic control chart, VP control chartAbstract
Due to the technological advances, the use of control charts is more important than ever. The
variable parameters (VP) control charts are based on the varying all chart parameters, sample size
, sampling interval
and the
used to determine the action limits. In this paper, we introduce the synthetic-VP
chart for monitoring changes in the process mean especially moderate and small shifts. The optimal charting parameters of the proposed chart are obtained using the Markov chain approach. An example is also presented to show the performance of the proposed chart against other charts.
References
Costa AFB. X¯ charts with variable parameters. J Qual Technol. 1999a; 31: 408-416.
Costa AFB. Joint X¯ and R charts with variable sample sizes and sampling intervals. J. Qual. Technol.
b; 31: 387-397.
Costa AFB. The AATS for the X¯ chart with variable parameters. J Qual Technol. 1999c; 31: 455-458.
Davis RB, Woodall WH. Evaluating and improving the synthetic control chart. J Qual Technol. 2002;
: 200-208.
Khoo MBC, Lee HC, Wu Z, Chen CH, Castagliola P. A synthetic double sampling control chart for
the process mean. IIE Trans. 2011; 43: 23-38.
Khoo MBC, Wong VH, Wu Z, Castagliola P. Optimal design of the synthetic chart for the process
mean based on median run length. IIE Trans. 2012; 44: 765-779.
Shewhart WA. Economic Control of Quality of Manufactured Product.1931.
Wan Q, Zhu M, Liu Y. Monitoring the process mean using a synthetic X¯ control chart with two
sampling intervals. J Intell Fuzzy Syst. 2020; 38(4): 4191-4203.
Wu Z, Spedding TA. A synthetic control chart for detecting small shifts in the process mean. J Qual
Technol. 2000; 32: 32-38.
Wu Z, Ou Y, Castagliola P, Khoo MBC. A combined synthetic & X¯ chart for monitoring the process
mean. Int J Prod Res. 2010; 48: 7423-7436.
Yeong WC, Lim SL, Khoo MBC, Castagliola P. Monitoring the coefficient of variation using a variable parameters chart. Qual Eng. 2018; 30(2): 212-235.
Zhou W, Liu N, Zheng Z. A synthetic control chart for monitoring the small shifts in a process mean
based on an attribute inspection. Commun Stat Theor M. 2020; 49(9): 2189-2204.
Zhang Y, Castagliola P, Wu Z, Khoo MBC. The synthetic X- chart with estimated parameters. IIE
Trans. 2011; 43: 676-687.
Downloads
Published
How to Cite
Issue
Section
License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
