Applying Bootstrap Method to Construct Individual-moving Range Control Chart for Start-up process

• Main Authors: Chen, Lin-Ze, 陳林澤
• Other Authors: Tong, Lee-Ing
• Format: Others
• Language: zh-TW
• Published: 2017
• Online Access: http://ndltd.ncl.edu.tw/handle/k7dad7

碩士 === 國立交通大學 === 工業工程與管理系所 === 105 === The most commonly used control chart in industry is Shewhart control chart, which requires at least 100 sample data to accurately estimate the parameters of process and then construct the Shewhart’s control chart. There are more and more start-up process now. Because the start-up process will only produce a small number of products for testing. There are not enough samples to construct the Shewhart’s control chart. The objective of this study is to utilize the Bootstrap simulation method and Bootstrap confidence intervals to construct the individual and moving range control charts for start-up process. The sensitivity analysis is utilized to demonstrate the effectiveness of the proposed method. When the process is stable, the result indicates that under various values of Weibull parameters and sample sizes the proposed bootstrap control charts using PB method performed better than the traditional individual-moving range control charts and Q chart in terms of the average run length. When the mean of process is shifted, the proposed bootstrap control chart is superior to the traditional individual-moving range control chart and Q chart. The bootstrap control chart constructed by the PB confidence interval is better than all the other control charts no matter the process distribution is right skewed、near normal distribution or raving high peak pattern.