Two sided group chain acceptance sampling plan (TSGChSP) for Marshall Olkin Extended Lomax (MOEL) distribution

This paper is the first to introduce Marshall Olkin extended Lomax (MOEL) distribution in a two-sided group chain acceptance sampling plan (TSGChSP). The plan's benefit is that it allows multiple product inspections concurrently. For constructing the plan, the methodology is based on the following six phases: (i) identifying design parameters, (ii) implementing operating procedure, (iii) deriving the probability of lot acceptance, (iv) deriving the probability of zero or one defective, (v) deriving the proportion defective), and (vi) measuring the performance. The findings prove that the optimal number of groups, g, and probability of lot acceptance, L(p) reduce when the design parameter increases. As anticipated, when the value of the mean ratio increases, L(p) also increases. This plan can help to decrease the consumer's risk as the number of defectives can be minimized, by taking into account both the prior information as well as future information about the variability in the process. The proposed TSGChSP should be an alternative to conventional group chain sampling plans which are focused only on current lot information.