On the performance of VSI Shewhart control chart for monitoring the coefficient of variation in the presence of measurement errors

• DOI: 10.1007/s00170-019-03352-7
• Publication Date: 2019-02-11T01:48:13Z
• Authors: Huu Du Nguyen; Quoc Thong Nguyen; Kim Phuc Tran; Dang Phuc Ho
• Keywords: 519; VSI control chart; Measurement errors; [STAT.AP]Statistics [stat]/Applications [stat.AP]; Coefficient of variation; [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]; [INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY]; 0101 mathematics; [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation; 01 natural sciences

In this paper, we propose a variable sampling interval Shewhart control chart to monitor the coefficient of variation (CV) squared, denoted by VSI SH-γ2. The new model overcomes the ARL-biased (average run length) property of the control chart monitoring the CV in a previous study by designing two one-sided charts rather than one two-sided chart. Moreover, the effect of measurement error on the performance of the VSI SH-γ2 control chart is investigated. The incorrect formula for the distribution of the CV in the presence of measurement error in a former study is fixed. Numerical simulations show that the precision errors and accuracy errors do have negative influences on the VSI SH-γ2 chart. An appropriate strategy based on the obtained results is suggested to reduce these negative effects.