Design of an interrelated quality system for a single product manufacturing process with assembly

The design of a single product manufacturing system with assembly is considered. The processing is on a lot-by-lot basis with the lot size fixed. The decision variables include interrelated single sampling plans, manufacturing process quality levels, incoming raw material quality levels and assembly process quality levels. A solution procedure is given to minimize the expected total of the costs associated with the quality of the finished product subject to a limit on the Average Outgoing Quality Limit of the finished product. An example is provided.