Repetitive group sampling plan based on the process capability index for the lot acceptance problem

Abstract

An acceptance sampling plan is a method used to make a decision about acceptance or rejection of a product, based on adherence to a standard. Meanwhile, process capability indices (PCIs) have been applied in different manufacturing industries as capability measures based on specified criteria which include process departure from a target, process consistency, process yield and process loss. In this paper, a repetitive group sampling (RGS) plan based on PCI is introduced for variables' inspection. First, the optimal parameters of the developed RGS plan are obtained considering constraints related to the risk of consumers and producers and also a double sampling plan, a multiple dependent state sampling plan and a sampling plan for resubmitted lots have been designed. Finally, after the development of variable sampling plans based on the Bayesian and exact approach, a comparison study has been performed between the developed RGS plan and other types of sampling plans and the results are elaborated. ARTICLE HISTORY

A Rectifying Acceptance Sampling Plan Based on the Process Capability Index

“…This process capability information measures the effectiveness of the production process. Since the use of the PCI and acceptance sampling plans became popular, numerous papers have combined the two to develop variables in sampling plans for lot sentencing [4][5][6][7][8][9][10][11][12][13][14]. These papers are designed for different purposes 2 of 12 or sampling skills.…”

“…Wu et al [7] proposed a PCI-based sampling plan for resubmitted lots which examined the situation where resampling is permitted on lots not accepted on original inspection. Yen et al [8] and Fallah-Nezhad and Seifi [10] used PCI to design repetitive group sampling (RGS) plans for determination of lot.…”

Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index

“…In the above researches, the index was used to only reflect the process capability. In recent years, some variable sampling plans based on the process capability indices have been proposed with the objective of building the determination rules for the acceptance or rejection of product lots [33][34][35][36]. Two risks are simultaneously taken into consideration in the proposed variable sampling plans by utilizing the inference property of the natural estimator̂.…”

“…Distinguished from the objective of minimizing cost in the sampling inspection for lot acceptance decision [34], the in-line process control aims to reach the control goal of minimizing total cost. The total cost constraint restricts the in-constant process to keep constant at right capability level.…”

نمونه‌گیری پذیرش و افزونگی اجزاء: تعیین سناریوی بهینه در سیستم‌های k از m

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