The effects of misclassification errors on multiple deferred state attribute sampling plan

Multiple deferred state (MDS) sampling plan by attribute in which current lot and future lots information is utilised on sentencing submitted lot, is constructed under the assumption of perfect inspection. But sometimes the inspection may not be free of inspection errors. In this paper, we develop MDS-plan by attribute to the state where misclassification errors exist during the inspection. In the following, we consider effects of the inspection errors on operating characteristic curve, expected disposition time and average sample number (ASN) for decision in MDS- plan. In order to discuss influence of the inspection errors on these mentioned measures, we have more focus on a specific feature of MDS(0,1,2)-plan. Also, some applicable examples are given to make more understanding. The results show that accuracy and performance of MDS(0,1,2)-plan can be affected by the inspection errors. Also we show that the inspection errors not only cause the considerable difference between true and observed curves of the expected disposition time in MDS(0,1,2)-plan but also have a negative influence on the ASN curve of the mentioned plan.