Hafeez Waqar, Wu Simin, Aziz Nazrina, Abbas Zameer, Imran Muhammad
School of Sciences , Guangdong University of Petrochemical Technology, Maoming, China.
School of Quantitative of Sciences, Universiti Utara Malaysia, Sintok, Malaysia.
Sci Rep. 2025 Feb 19;15(1):6095. doi: 10.1038/s41598-025-89740-4.
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.
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。