以電腦模擬探討移動全距管制圖之平均連串長度

A Simulation Study on the Average Run Length of Moving Range Control Charts

洪鼎凱(Ding-Kai Hong)

指導教授 ： 周昭宇

國立臺中科技大學/商學院/財務金融系碩士班/碩士(2012年)

摘要

管制圖(Control chart)為七大品質管制工具之一，可針對製程做適當的監控與判斷，當製程處於非管制狀態下能夠快速地偵測出製程變異的原因，在更多不良品生產出來前能達到即時修正的效果。本研究以移動全距管制圖的架構下探討在不同的資料形態下，標準差的膨脹對於平均連串長度績效的影響。根據我們模擬結果中可以發現在不同的獨立資料中平均連串長度所表現的效能有所差異。在標準差的倍數增加使得平均連串長度效能提高，而不同的獨立資料型態中平均連串長度以 α_3=0.75,α_4=3 這組右偏資料表現最佳，而常態資料並不是最好的。在相關資料中，明顯的平均連串長度效能都較獨立資料來的差。

關鍵字

移動全距管制圖 ； 平均連串長度

並列摘要

Control chart is one of seven quality control tools which can be used on the process to give an appropriate monitoring and judgment. When the process is out of control, the control chart can detect the process variation such that some actions may be taken before producing much more defective products. In this study, we use the framework of the moving range control charts to probe the influence of expansion of standard deviation on average run length performance under different types of data. According to our simulation results, we find that there exist significantly different performances among average run lengths of moving range charts for different independent data. The performance of out-of-control average run lengths can be improved by increasing multiply of standard deviation. In the different single type of data, the right-skewed data of average run length with α3=0.75, α4=3 have the best performance, which means the normal distribution data are not the best. For the auto-correlated data, the out-of-control average run lengths of moving range chart is always longer than those for independent data.

並列關鍵字

Moving range control chart ； Average run length

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