Effect of Sampling Errors on Single Sampling Plan Rectifying Inspection

Abstract

Quality control systems can be divided into process control and product control. Inspection plans play a vital role in
product control and must be used wisely. Recently, researchers in various quality control procedures consider the possibility
of inspection errors as an important issue. To assess the performance of Single Sampling Plan, Average Outgoing Quality
(AOQ) and , Average Total Inspection (ATI) are used. The impacts of inspection error for varying producer’s and
consumer’s risk are examined using AOQ and ATI to assess the performance. A statistical software R (R-package) was used
to obtain the two parameters and their plots at varying producer’s and consumer’s risk points. From the analyses, increase
in both producer’s and consumer’s risks (α, β) resulted in reduced AOQ for p < 0.06. Between p = 0.07 and p = 0.08, there
was no pattern. However, when p > 0.09, as α and β increase, AOQ also increases.