Suppr超能文献

用于评估制造业中不合格产品平均数量的贝叶斯双组抽样计划:一种泊松-伽马分布方法。

Bayesian double group sampling plan for assessing the average number of nonconforming products in manufacturing: a Poisson-Gamma distribution approach.

作者信息

Hafeez Waqar, Wu Simin, Aziz Nazrina, Abbas Zameer, Imran Muhammad

机构信息

School of Sciences , Guangdong University of Petrochemical Technology, Maoming, China.

School of Quantitative of Sciences, Universiti Utara Malaysia, Sintok, Malaysia.

出版信息

Sci Rep. 2025 Feb 19;15(1):6095. doi: 10.1038/s41598-025-89740-4.

Abstract

To succeed in the global market, firms must prioritize quality over individual goals and preferences. Acceptance sampling is one of the two primary approaches for ensuring quality, which is used in statistical process control for attributes inspection of the product. In acceptance sampling based on predetermined acceptance criteria for inspection the lot is either accepted or not accepted. This research introduces a Bayesian double group sampling plan (BDGSP) for estimating average number of nonconforming products. Based on acceptance criteria the Poisson distribution is used to construct the likelihood function for both nonconforming and conforming products. To calculate the average probability of acceptance, the gamma distribution is used as a suitable prior distribution of the Poisson distribution. For various suggested producer's and consumer's risk levels four distinct quality regions are calculated. The producer's risk is related to acceptable quality level and consumer's risk is related to and limiting quality level. Operating characteristic curves are utilized to track the effects of changes in the values of the specified parameters. The applicability of the proposed plan for current industrial strategies is demonstrated using a real dataset.

摘要

为了在全球市场取得成功,企业必须将质量置于个人目标和偏好之上。验收抽样是确保质量的两种主要方法之一,用于产品属性检验的统计过程控制。在基于预定验收标准的验收抽样中,批次要么被接受,要么不被接受。本研究引入了一种贝叶斯双组抽样计划(BDGSP)来估计不合格产品的平均数量。基于验收标准,泊松分布用于构建不合格品和合格品的似然函数。为了计算平均接受概率,伽马分布被用作泊松分布的合适先验分布。针对各种建议的生产者和消费者风险水平,计算了四个不同的质量区域。生产者风险与可接受质量水平相关,消费者风险与极限质量水平相关。操作特征曲线用于跟踪指定参数值变化的影响。使用真实数据集证明了所提出计划对当前产业策略的适用性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ccec/11839946/de7885b7ffcd/41598_2025_89740_Fig1_HTML.jpg

文献检索

告别复杂PubMed语法,用中文像聊天一样搜索,搜遍4000万医学文献。AI智能推荐,让科研检索更轻松。

立即免费搜索

文件翻译

保留排版,准确专业,支持PDF/Word/PPT等文件格式,支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述,25分钟生成高质量综述,智能提取关键信息,辅助科研写作。

立即免费体验