Group chain acceptance sampling plans (GChSP) for truncated life test by using minimum angle method

Abstract

Acceptance sampling is a fundamental statistical quality control procedure widely used in industries to decide whether to accept or to reject a product lot. Currently, the development of acceptance sampling plans focuses on the group chain acceptance sampling plans (GChSP) since the plans have many advantages compared to the established plans. However, the development of GChSP only focuses on the consumer’s risk (CR) and the researchers overlook at the other risk associated with the acceptance sampling, which is producer’s risk (PR). Therefore, this paper introduces GChSP for truncated life test at a pre-assumed time by using minimum angle method. The proposed method is an approach, where both risks associated with acceptance sampling namely consumer’s and producer’s are considered. There are four phases needed in order to develop the proposed plans, which are (i) identifying the design parameters, (ii) developing the operating steps, (iii) deriving the probability of lot acceptance, and (iv) measuring the performance. The results would show that the number of optimal groups obtained satisfies both parties, consumer and producer, compared to the established plan, where the number of group only satisfies the consumer, not the producer. Practically, the plans should offer alternatives to industrial practitioners. Among suitable applications are (but not limited to) electronic components of transportation electronics system, wireless devices, global positioning systems and computer aided and integrated manufacturing systems.