A homogenously weighted moving average scheme for observations under the effect of serial dependence and measurement inaccuracy
- 1 January 2021
- journal article
- research article
- Published by Growing Science in International Journal of Industrial Engineering Computations
- Vol. 12 (4), 401-414
- https://doi.org/10.5267/j.ijiec.2021.5.003
Abstract
The combined effect of serial dependency and measurement errors is known to negatively affect the statistical efficiency of any monitoring scheme. However, for the recently proposed homogenously weighted moving average (HWMA) scheme, the research that exists concerns independent and identically distributed observations and measurement errors only. Thus, in this paper, the HWMA scheme for monitoring the process mean under the effect of within-sample serial dependence with measurement errors is proposed for both constant and linearly increasing measurement system variance. Monte Carlo simulation is used to evaluate the run-length distribution of the proposed HWMA scheme. A mixed-s&m sampling strategy is incorporated to the HWMA scheme to reduce the negative effect of serial dependence and measurement errors and its performance is compared to the existing Shewhart scheme. An example is given to illustrate how to implement the proposed HWMA scheme for use in real-life applications.Keywords
This publication has 28 references indexed in Scilit:
- Monitoring the process location by using new ranked set sampling-based memory control chartsQuality Technology & Quantitative Management, 2019
- A Multivariate Homogeneously Weighted Moving Average Control ChartIEEE Access, 2019
- On auxiliary information-based control charts for autocorrelated processes with application in manufacturing industryThe International Journal of Advanced Manufacturing Technology, 2018
- New sampling strategies to reduce the effect of autocorrelation on the synthetic T2 chart to monitor bivariate processQuality and Reliability Engineering International, 2018
- Homogeneously weighted moving average control chart with an application in substrate manufacturing processComputers & Industrial Engineering, 2018
- Measurement errors in statistical process monitoring: A literature reviewComputers & Industrial Engineering, 2017
- Measurement error effect on the CUSUM control chartJournal of Applied Statistics, 2012
- Effect of measurement error and autocorrelation on theX¯chartJournal of Applied Statistics, 2011
- Effects of imprecise measurement on the two dependent processes control for the autocorrelated observationsThe International Journal of Advanced Manufacturing Technology, 2004
- EWMA Chart and Measurement ErrorJournal of Applied Statistics, 2004