Designing different Sampling Plans Based on Process Capability Index

Abstract

Acceptance sampling plan is a method to make decision on either accepting or rejecting a specific lot or more generally to inspect the quality of products that can be used by different methods. Along with this, one suitable measure to improve manufacturing processes is to analyze process capability indices. These indices have many applications in production environments. In this paper, a repetitive group sampling (RGS) plan based on process capability index is introduced for variables inspection. Repetitive group sampling plan is useful when sampling costs are expensive. In this paper, considering constraints related to the risk of consumers and producers, the optimal parameters of developed repetitive group sampling plan are obtained and also a new double sampling model, a multiple dependent state (MDS) sampling plan and a sampling plan for resubmitted lots have been proposed. Finally after the development of variable sampling plan based on the Bayesian approach, a comparison study has been performed between developed repetitive sampling plan and other sampling plans and the results are elaborated.