Design of geometric moving average control chart to monitor poisson mean for an unstabilized production process
Author(s): Deva Arul S and Arunthadhi N
Abstract: Control chart is one of the important tools of Statistical Process Control to monitor the quality of goods or to improve the production process by identifying the assignable causes of variations. In this article we present a newly developed control chart to Monitor Poisson mean through Geometric Moving Average through EWMA Statistic. In a novice production process, the variations are inevitable and fluctuate between control or in-control process. Hence to suite the need of the un-stabilized process and to monitor the target TPEWMA is developed. The newly designed TPEWMA control charts and its parameters are determined based on the Truncated Poisson Distribution. The comparison on EWMA control chart with newly designed TPEWMA control charts shows better detection in small shifts. The Average Run Length of control chart is the measure of efficiency of the control chart and is larger for an in-control quality process. But at the same time ARL’s are smaller for small shifts. Hence one can give pressure on the producer to maintain the process through tightening the variable factor in a TPEWMA control chart.
Deva Arul S, Arunthadhi N. Design of geometric moving average control chart to monitor poisson mean for an unstabilized production process. Int J Stat Appl Math 2023;8(3):26-35. DOI: 10.22271/maths.2023.v8.i3a.975