Design of Single Acceptance Sampling Plan Using Maximum Allowable Proportion Defective (MAPD) and Producer’s Allowable Risk (PAR)

Abstract

This paper focuses on single acceptance sampling designs on incoming quality with Maximum Allowable percent Defective (MAPD) along with a specified probability of acceptance referred to Producer’s Allowable Risk (PAR) which is defined as the minimum probability of acceptance of the lot with a maximum allowable proportion defective. A statistical software (R) is used to obtain the table values and graphs. These tables and graphs are presented in order to compare the efficiency of this Single Sampling Plan so as to protect Acceptance Quality Level. Researchers thereafter suggest optimum criterion of sample size and acceptance number for a fixed ratio of PAR to MAPD within a reasonable sample size region.

Keywords: probability of acceptance (PA), operating characteristic, inflection point, Poisson distribution, optimum sampling plan, steepness angle.