Optimum time-censored lot sampling inspection based on type-I half-logistic Nadarajah-Haghighi-percentile lifetimes

Optimal single sampling inspection plans with fixed acceptance numbers are developed to provide the appropriate protection to consumers when the lifetime of products follows a type-I half-logistic Nadarajah-Haghighi (TIHLNH) distribution. The best inspection plan using percentile life as a measure of reliability is determined when the conventional consumer risk is specified. Operating characteristic (OC) values for the different quality level options are reported. A minimum ratio between the true median life and the pre-specified life has been supplied for the specific producer’s risk. The optimal single sampling plans are then derived using prior knowledge on fraction defective by controlling the expected consumer risk in the Bayesian setting. The results show that the proposed Bayesian sampling plans is more efficient than the current sampling plans in terms of sample size. For illustrative purposes, the proposed methods are applied to a real data set.