Designing of Multiple Dependent State Sampling Plan for Inverted Nadarajah-Haghighi distribution

Abstract

A novel approach to quality control is proposed through the development of a multiple dependent state (MDS) sampling plan for time-truncated life tests. The proposed plan assumes that product lifetimes follow an inverted Nadarajah–Haghighi (INH) distribution, with product quality evaluated using a specified percentile lifetime. The sampling plan parameters, namely the sample size, acceptance and rejection numbers and the required number of preceding lots for decision-making are determined using a two-point approach based on the operating characteristic (OC) curve. Extensive tables are constructed for different values of the shape parameter, and the performance of the plan is thoroughly analyzed. The practical applicability of the proposed sampling scheme is illustrated using real-world data and its efficiency is compared with existing sampling plans. The results demonstrate that the proposed plan provides improved protection for both producers and consumers.