Abstract

Acceptance sampling is the statistical method used to accept or reject product based on a random sample of the products. When done correctly, accepting sampling is effective for quality control. The acceptance number (c) and the sample size (n) are the basic objectives of any sampling plan. This study aims to construct two goal programing models for the determination of (n) and (c) with regard to four conflicting criteria. It applies non-linear integer goal programing techniques. The first model is assumed, a known and constant lot fraction defective, whereas the other model expected that it is a random variable having a Gamma prior distribution. The resulting two models were non-linear integer goal programing models. Consequently, these models could be worked out using any non-linear integer goal programing package.