Economic Design of X-bar Chart Using Genetic Algorithm

Abstract

Control chart is a key tool in Statistical Process Control. This chart is one type of statistical tool which is used to monitor the quality of a process. It gives a visual representation of the status of the process indication whether the process is under control or not. It is used for finding any variation present in any process. Control charts display the variation in a process, so that anyone can easily determine whether the process is within control or it is out of control. For the design of X-bar control chart we need to find the optimal values of sample size, sampling frequency and width of control limit. In our work, we made a computer program in MATLAB based on Genetic Algorithm for finding the optimal values of above three parameters so that the total expected cost is minimized. Our result showed that Genetic Algorithm provides better result as compared to others reported in the literature.