MONITORING THE PROCESS VARIANCE USING GWMA FOR EXPONENTIALLY DISTRIBUTED CHARACTERISTICS
In this article, we will describe the designing of control chart for monitoring the process variance using generally weighted moving average (GWMA) chart when the quality characteristic follows the exponential distribution. Monte Carlo simulation technique has been used for the construction of the proposed control chart. The variations in the proposed process parameters have been considered for developing this control chart. The design algorithm based upon optimal setting of the parameters with powerful efficiency of detecting the process has small shifts. The average run lengths have been estimated for different levels of the process shifts. The performance and the diagnostic ability of the proposed control chart are examined through the average values of the run length distribution. The proposed control chart is efficient in detecting and monitoring small shifts in the process variance. The practical life application of the proposed control chart has been illustrated with the help of an example.
control chart, generally weighted moving average statistic, Monte Carlo simulation, exponential distribution, the variance of the process, average run length.