Designing of multiple dependent state sampling plan for Exponentiated Frechet Distribution

Abstract

An approach for making decisions regarding the lot being inspected is acceptance sampling. A decision regarding the entire lot under inspection is made based on a representative sample. The majority of current strategies take consumer risk into account while ignoring producer loss. In order to satisfy both parties, this study will take into account the risks posed by both producers and consumers. This paper introduces a multiple dependent state (MDS) sampling plan for a time-truncated life test, assuming that the product’s lifetime follows an Exponentiated Fréchet Distribution (EFD). The quality of the product is evaluated in terms of its percentile lifetime. The optimal plan parameters, such as the sample size, acceptance and rejection criteria, and the number of preceding lots required for making decisions are obtained using the two-point method on the operating characteristic (OC) curve. Regarding sample size, a comparison between the suggested MDS sampling plan and a single sampling plan is taken into consideration. Therefore, we propose MDS as a more effective alternative to lot inspection in the manufacturing sector, especially for those involved in destructive testing of high-quality items. Additionally, tables are provided for different shape parameter values, and the results are discussed. We also demonstrate the plan’s application in industry through real data analysis and compare its performance with existing plans.