Economic statistical design of the adaptive exponentially weighted moving average control chart with known and estimated parameters / Rania Mamdouh Kamal Mostafa ; Supervised Mahmoud Alsaid Mahmoud , Mahmoud Mostafa Rashwan

Thesis (M.Sc.) - Cairo University - Faculty of Economics and Political Science - Department of Statistics

The control chart technique is an important tool in statistical quality control. The adaptive exponentially weighted moving average (AEWMA) control chart is one of the important control charts. The AEWMA control chart was introduced for monitoring the process mean by capizzi and masarotto (2003). Usually, the control chart has been designed with respect to statistical criteria only. However, the design of a control chart has economic impacts. Thus, the approach of economic design of control charts is appeared. However, the economic design does not consider the statistical performance of the control chart. For this reason, some statistical constraints should be added to the economic design to make it an economic - statistical design. Hence, this study presents the economic and economic statistical designs of the AEWMA control chart. The results show substantial improvement in the statistical performance at the expense of a small increase in expected cost, once adding the statistical constrains in the chart design. The effects of the input parameters on performance the economic-statistical design of the AEWMA chart are also investigated. As, the process parameters are usually unknown and need to be estimated, this study investigates the effect of estimated process parameters on the economic performance of the AEWMA chart. In addition to comparing it with the economic performance of the exponentially weighted moving average (EWMA) and shewhart charts with economic - statistical design. generally, these comparisons reveal that the AEWMA chart provides a balanced performance at small and large shift

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