Economic Design of Variable Sampling Intervals EWMA Control Charts under Binomial Distribution

摘要

Objective-The purpose of this paper is to investigate the economic design of EWMA charts with variable sampling intervals (VSI) under binomial distribution to reduce the cost of control process. Methods-First, the economic model of VSI EWMA control chart under binomial distribution is developed, the optimal values of the parameters will be determined such that the expected total cost is minimized. Further, the genetic algorithms will be used to search for the optimal values of the parameters of the VSI EWMA control chart under binomial distribution. Finally, the sensitivity analysis of this model is done to investigate the effect of model parameters on the solution of the economic model. Result-The result shows that the larger the the quality cost per hour while producing in control and the parameters shift of binomial distribution, the smaller the total expected cost and so on. Conclusions-This research not only provides the ideas and method to other VSI EWMA control charts economic design, but also provides the theoretical basis to reduce the cost of out-control process and improves the production efficiency in the actual production.