Constructing group chain acceptance sampling plans (Gchsp) for gamma distribution

Abstract

This article develops group chain acceptance sampling plans (GChSP) for Gamma distribution when the life test is truncated at a pre-specified time. The Gamma distribution is chosen as most electronic products such as carbon-film resistors, light-emitting diodes and integrated logic family follow this distribution. The design parameters such as the total of minimum groups, and probability of lot acceptance, are calculated by minimizing the consumer’s risk, at a certain specified design parameter. Quality parameter is describe in terms of mean with assumption that the test termination time,, the specified constant,, the number of allowable preceding lots, and the number of products, are pre-fixed. An example is given for determination purpose for the GChSP. The article continues with performances comparison between the GChSP and the group acceptance sampling plan (GSP). The article concludes that the GChSP has better performances compared to the GSP in terms of the number of minimum groups,, the probability of lot acceptance,, the cost and the inspection time.