New group chain acceptance sampling plan for Marshall-Olkin Extended Lomax (MOEL) distribution

Abstract

In this paper, a new group chain sampling plan (NGChSP) for a truncated life-test is established when product lifetime follows Marshall-Olkin extended Lomax (MOEL) distribution. The minimum number of groups, g, and the operating characteristic value are calculated by satisfying the specified consumer's risk, the test termination time, and the mean ratio. In this new group chain approach, the MOEL distribution determines the probability of acceptance that considers risks towards the consumer. MOEL distributions have a dynamic class of distributions with vast applications in areas such as reliability theory, stress strength analysis, distribution theory, and modeling of time series. Therefore, it is widely used in various industries such as financial, manufacturing and agriculture food production for pattern recognition, forecasting and quality control. There are six phases in constructing NGChSP, which are: (a) identifying the design parameter, (b) implementing the operating procedure, (c) deriving the probability of acceptance, (d) deriving the probability of zero or one defective, (e) deriving the proportion defective, and (f) computing g and probability of acceptance. The findings show that as consumer's risk increases, the minimum number of groups, g also increases. In addition, an increment of the mean ratio also shows an increment in the probability of lot acceptance because a higher mean ratio reflects higher product quality and has better chances of acceptance. Comparison between GChSP and NGChSP show that the operating characteristic (OC) curve of NGChSP is closer to the ideal OC curve than the GChSP.