Economical Group and Modified Group Chain Sampling Plans for Weibull Distribution

Abstract

The acceptance sampling plan/strategy is one of the essential techniques in statistical quality control. When the testing is very destructive and expensive, a generally small sample is reserved from the lot with zero acceptance number. This situation is biased for the producer because, with the minimum increase in the proportion of defective, the lot acceptance probability drops immediately. In order to save time, money, and sample size, the Group chain sampling plan (GChSP) and Modified Group Chain Sampling plan (MGChSP) are highly beneficial in destructive testing for high-quality items. They also provide a more accurate lot acceptance probability ????(????) than the chain sampling plan. In this study, the economic model of the group chain and modified group chain are constructed for the minimum total cost of Weibull distribution, and these plans are compared. The study is generally divided into three phases; first, to develop minimized total cost procedures for Weibull distribution; the second stage is to obtain OC function using Weibull distributions; the last stage is to compare the total cost of GChSP and MGChSP. The result displays the minimum sample size, lot acceptance probability, and proportion defective for GChSP and MGChSP. Tables and the total cost needed for the life test are presented