臺灣博碩士論文加值系統

本論文對 X-bar 管制圖提出兩個建構管制界限的新方法，這兩個方法可以讓使用者在製程的初期就可以去監控製程。儘管只有使用少數的資料來建立管制界限，但所建立的管制界限也會與真實的管制界限的連串長度分配的特定百分比結果相差無幾。模擬的結果顯示，當使用少數的資料去建構管制界限時，我們的方法所建構的管制界限皆比傳統方法所建構的管制界限要來的接近真實的管制界限。

This paper presents two approaches for constructing control limits of X-bar control chart that can enable the user to begin monitoring the process mean at an earlier stage than the standard approaches. The proposed control limits can be constructed easily and are closed to any specific percentile of run length distribution of the true limits, even when only a few initial subgroups are available. Performances of the proposed approaches are studied by Monte Carlo simulation. The simulation results show that the proposed control limits perform similarly to the true limits even when the limits are estimated using data from only a few initial subgroups.

第一章 緒 論 .…………...…………………………… 1
1.1 前言…………….………………………………..… 1
1.2 研究目的與動機.…………….….………………… 1
1.3 論文架構 .…………………………………………. 3
第二章 文獻探討 ……………………………………… .5
第三章 改良後計量值管制圖之管制界限 …………….13
3.1方法Ⅰ ……………………………………………….13
3.2方法Ⅱ ……………………………………………….17
第四章 實際案例之應用………………………………. 24
4.1方法Ⅰ ……………………………………………….24
4.2方法Ⅱ ……………………………………………….25
第五章 電腦模擬與比較 ….……….………….………28
第六章 結論 …………………….………….…………31
參考文獻 .……….………………………….…...………41

Hillier, F. S. (1969). ” X-bar and R-Chart Control Limits Based on A Small Number of Subgroups”. Journal of Quality Technology 1, pp. 17-26.
Montgomery D. C. (2001). Introduction to Statistical Quality Control 4/e. John Wiley & Sons, New York, NY.
Nedumaran, G. and Pignatiello, J. J. (2001). “On Estimating X-bar Control Chart Limits“. Journal of Quality Technology 33, pp. 206-212.
Quesenberry, C. P. (1993). “The effect of Sample Size on Estimated Limits for X-bar and X Control Charts“. Journal of Quality Technology 25, pp. 237-247
Ryan T. P. (2000). Statistical Mothods for Quality Improvement 2/e. John Wiley & Sons, New York, NY.