The optimum \(CSP\)-2(k\(=i)\) plan that minimises inspection when incoming quality p follows a distribution (Q758072)

A continuous sampling plan CSP-2 is given by a tripel (i,k,f), where i denotes the number of defect-free consecutive items leading to a change from 100\%-inspection to 100f\%-inspection, and k denotes the minimum spacing between two defectives in the sampling phase of inspection which permits sampling to be continued. For the special case \(k=i\) it is shown that for given AOQL and given discrete distributions of the incoming quality level p there exists a unique CSP-2 minimising the amount of inspection provided that the smallest possible p-value exceeds the AOQL.