Designing an economical acceptance sampling plan in the presence of inspection errors based on maxima nomination sampling method

An acceptance sampling plan is one of the most useful and eective methods with an extensive application range in companies with the purpose of examining the quality of the raw material and nal products. The inspection process is assumed free of errors in most designs of acceptance sampling plans. However, this assumption may not be true. In this research, an optimization model was presented for the acceptance sampling plan based on the Maxima Nomination Sampling (MNS) method, developed for the single acceptance sampling plan, in the presence of inspection errors. This study managed to propose an economical model which involved two types of inspection errors and investigated the impact of these errors from an economical point of view. Then, to prove its eciency, it was compared with a classical method. Furthermore, the sensitivity analysis was carried out to analyze the behavior of the MNS schemeʹs optimal solution. The numerical studies indicated that the MNS method is always more economical than classical one is.