Gamma Lindley distribution in acceptance sampling plans in terms of truncated life tests with an application to industrial data

Abstract

Acceptance sampling plans (ASP) are needed in areas where 100% inspection is impractical or expensive. They help ensure product quality meets requirements, reduce inspection costs, and prevent nonconforming goods from reaching customers. The ASP that are well-planned offer an efficient and dependable way to maintain quality control in manufacturing procedures and supply chains. The Gamma Lindley distribution (GaLD) is used to design acceptance sampling plans in this study when the life test is truncated at a pre-specified (pre-determined) time. The mean is used as the quality parameter. The smallest sample size is required to guarantee that the desired life mean is reached at the risk of the particular consumer. In addition to the producer's risk, the operating characteristic values of the sample plans are presented. In order to evaluate the suggested sampling plans, a real data from the first failure of 20 electric carts utilized for internal transportation and delivery in a big manufacturing facility is provided.