Monitoring the Coefficient of Variation Using a Variable Sampling Interval EWMA Chart

被引:60
作者
Yeong, W. C. [1 ]
Khoo, Michael B. C. [2 ]
Tham, L. K. [3 ]
Teoh, W. L. [4 ]
Rahim, M. A. [5 ]
机构
[1] Univ Malaya, Fac Business & Accountancy, Kuala Lumpur 50603, Malaysia
[2] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia
[3] Univ Tunku Abdul Rahman, Fac Sci, Perak 31900, Malaysia
[4] Heriot Watt Univ Malaysia, Sch Math & Comp Sci, Putrajaya 62200, Malaysia
[5] Univ New Brunswick, Fac Business Adm, Fredericton, NB, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Average Time to Signal; Expected Average Time to Signal; Exponentially Weighted Moving; Average Chart; Markov Chain; ESTIMATED PARAMETERS; STATISTICAL DESIGN; VARIABILITY; (X)OVER-BAR; PERFORMANCE; STRENGTH; SIZES;
D O I
10.1080/00224065.2017.11918004
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In recent years, the coefficient of variation (CV) chart is receiving increasing attention in quality control. A number of studies demonstrated that adaptive charts could detect process shifts faster than traditional charts. This paper proposes an EWMA chart with variable sampling interval (VSI) to monitor the CV. Formulas for computing the performance measures of the VSI EWMA-gamma(2) chart are derived using Markov chain, where gamma(2) denotes the CV squared. Comparative studies show that the VSI EWMA-gamma(2) chart significantly outperforms other competing charts. An example using real manufacturing data shows that the VSI EWMA-gamma(2) chart performs well in applications.
引用
收藏
页码:380 / 401
页数:22
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