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Weighted-loss-function CUSUM chart for monitoring mean and variance of a production process
Titel:
Weighted-loss-function CUSUM chart for monitoring mean and variance of a production process
Auteur:
Wu, Zhang Tian, Yu
Verschenen in:
International journal of production research
Paginering:
Jaargang 43 (2005) nr. 14 pagina's 3027-3044
Jaar:
2005-07-15
Inhoud:
In a production process, when Statistical Process Control (SPC) deals with a quality characteristic (e.g. a dimension) that is a variable, it is usually necessary to monitor both the mean value of the quality characteristic and its variability. The CUSUM scheme comprising a few cooperative CUSUM charts is quicker than the traditional Shewhart [image omitted]&S charts for this purpose. However, the designs and analyses of such a multi-chart CUSUM scheme are mathematically intractable and the operation is very laborious. Based on the Weighted Loss Function, this article proposes a CUSUM chart (called the WLC chart) that detects both mean shift and variance shift by inspecting a single statistic WL (Weighted Loss Function). The most useful feature of the WLC chart is its simplicity for implementation and design compared with the CUSUM scheme using a few CUSUM charts. This is mainly attributable to the use of a single statistic WL. Moreover, based on the results of a factorial experiment, it is found that the WLC chart is, on average, more effective than the [image omitted]&S charts and the multi-chart CUSUM scheme by about 30 and 14%, respectively. A step-by-step procedure is also presented to facilitate practitioners in designing the WLC chart.
Uitgever:
Taylor & Francis
Bronbestand:
Elektronische Wetenschappelijke Tijdschriften
Details van artikel 129 van 129 gevonden artikelen
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