Design of bayesian MDS sampling plan based on process capability index

In this paper, a variable multiple dependent state (MDS) sampling plan is developed based on process capability index using Bayesian approach. The optimal parameters of developed sampling plan with respect to constraints related to the risk of consumer and producer are presented. Two comparison studied have been done. First the methods of double sampling model, sampling plan for resubmitted lots and repetitive group sampling (RGS) plan are elaborated and average sample numbers of developed MDS plan and other classical methods are compared. A comparison study between developed MDS plan based on Bayesian approach and exact probability distribution is carried out.

Keywords:

MDS sampling plan , RGS plan , sampling plan for resubmitted lots , Process capability index (PCI) , Average sample number (ASN) , Bayesian approach