Journal of Mathematical and Fundamental Sciences
Vol. 52 No. 1 (2020)

One-sided Downward Control Chart for Monitoring the Multivariate Coefficient of Variation with VSSI Strategy

XinYing Chew (School of Computer Sciences, Universiti Sains Malaysia, 11800 Pulau Pinang)
Khai Wah Khaw (School of Management, Universiti Sains Malaysia, 11800 Pulau Pinang)



Article Info

Publish Date
28 Apr 2020

Abstract

In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today's competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example.

Copyrights © 2020






Journal Info

Abbrev

jmfs

Publisher

Subject

Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

Description

Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, ...