Search

AbstractThis study focuses on implementing a group acceptance sampling plan (GASP) for simultaneous inspection of objects with complex lifespan patterns described by the odd exponential logarithmic (OEL) Fréchet distribution. The inspiration from the proposed model stems from the challenges posed by the objects that exhibited right-skewed, j-shaped, reversed j-shaped and nearly symmetric densities, along with decreasing and increasing hazard rates. A mathematical function is derived to identify key points in the distribution, crucial for designing the inspection process based on factors like testing duration and acceptable risk levels. Performance is assessed across various quality levels, with a simulation study providing insights into parameter changes. The results are clarified via visual representations. The minimum ratios of actual to expected lifespan at specific risk levels, utilizing real-world data to validate the approach are computed. Finally, a comparison is driven in the quest of highlighting the efficacy and versatility of the proposed acceptance sampling plan (ASP) under the inverse log-logistic and generalized exponential (GE) models.

AbstractIn this study, we presented a group acceptance sampling plan for situations in which the lifetime of an item followed a flexible new Kumaraswamy exponential distribution for applications to quality control reliability. This study includes a detailed analysis of the operating characteristic function values, producer risk, and minimum required group size for the acceptance number, which are determined by three shape parameters. To determine the quality index, we used the median and tested various parametric values to obtain the optimized values. These optimized values are presented in the tables and graphically for a better understanding. In addition, we explain the results of our study using two real-life datasets and an example. Comparison has been also made between GASP and OSP.