Comparing the sequential and the repetitive Cpk sampling plans

Author:

Costa Antonio Fernando Branco1

Affiliation:

1. IEPG‐Instituto de Engenharia de Produção e Gestão UNIFEI – Universidade Federal de Itajubá Itajubá Brazil

Abstract

AbstractThe index Cpk was created to quantify the ability of the process to produce products within the upper and lower specified limits (USL/LSL); but in the last two decades, the sample estimator of the capability index Cpk has also been used to decide whether a lot should be accepted or not; if the value of a sample of size n, randomly taken from the lot, is lower/larger than a threshold, then the lot is rejected/accepted. The sampling plan based on the value is known as the Cpk sampling plan. In recent publications, the Cpk sampling plan has been combined with the repetitive sampling scheme. In short, with the repetitive sampling scheme the Cpk sampling plan might be applied m times, consequently, the lot has m chances to be accepted; if the Cpk sampling plan is applied m times and the lot is not accepted, then the lot is finally rejected. The average number of inspected items per lot (ANI) the repetitive Cpk sampling plan (where m > 1) requires to decide whether the lot should be accepted or not is larger than the sample size n of the standard Cpk sampling plan (where m = 1), because of that the repetitive sampling strategy is not recommended. In this article, we propose the sequential Cpk sampling plan where the is compared with two thresholds (c1; c2) with c1 < c2; if the is lower (larger) than c1 (c2), then the lot is rejected (accepted); otherwise, the decision is left to the next sample. The ANI of the sequential Cpk sampling plan is a function of c1 and c2; depending on the choice of these two design parameters, the ANI of the sequential Cpk sampling plan is substantially lower than the sample size n of the standard Cpk sampling plan.

Publisher

Wiley

Subject

Management Science and Operations Research,Safety, Risk, Reliability and Quality

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Comparing the performance of the Cpk and (X‐bar, S) sampling plans;Quality and Reliability Engineering International;2024-06-13

2. Determination and economic design of repetitive group sampling plan under two parameter Lindley distribution;Quality Technology & Quantitative Management;2024-05-24

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