Many existing continuous sampling plans are designed to provide a desired AOQL by requiring 100% inspection whenever incoming quality is found to be sufficiently poor. However, such extensive inspection is not practical for those cases where destructive testing is required, The continuous sampling procedure developed here is especially designed for these situations where the amount of inspection must be stringently limited. It uses certain a priori information about the quality behavior of the production process. It then improves upon this information by a limited amount of sampling inspection in order to determine when a process adjustment is needed.