Statistical-economic design of X ̅ control chart under the newly generalized two-parameter Weibull shock model

Document Type : Original Article

Authors

1 Master, Department of Statistics, Faculty of Economics, Allameh Tabatabai University, Tehran, Iran

2 Professor, Department of Statistics, Faculty of Economics, Allameh Tabatabai University, Tehran, Iran

Abstract
The main function of a control chart is to help manage the detection of various sources of variability in a production process. Control charts are also widely used in the industry as a tool to monitor a production process to improve product quality. The most common control chart with one characteristic in mind is the control chart. In this paper, we propose and present an economic design model and statistical-economic design in order to optimally design control charts by considering the new generalized two-parameter Weibull distribution as a process failure mechanism. . From the comparison, we conclude that the statistical-economic model is better but more expensive than the economic model in terms of achieving the statistical properties of the desired control chart.

Keywords


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