A Repetitive Sampling-based Control Chart for Multivariate Weighed Poisson Distribution with Two Different Indexes‎

Abstract

‎Control charts using repetitive group sampling have been an attractive topic in the last few years‎. ‎This paper presents a control chart for multivariate weighed Poisson distribution by repetitive sampling with two different indexes‎. ‎The effect of these two indexes on the performance of the control chart will be investigated based on the average sequence length criterion‎. ‎Unlike almost all the research studies on this topic‎, ‎this paper considers those cases in which the process parameters in the out-of-control situation are not necessarily a constant proportion of the process parameters in the control situation‎. ‎In this paper‎, ‎we will show that choosing appropriate statistics can be useful in the performance of the control chart and increasing its efficiency.