Economic - Statistical Design of a Control Chart for High Yield Processes When the Inspection is Imperfect

CCC-r chart is a technique applied when nonconforming items are rarely observed. It is usually assumed that the inspection process is perfect in the implementation control charts imperfect inspections may have a significant impact on the performance of the control chart and setting the control limits. This paper investigates the effect of inspection errors on the formulation of CCC-r chart, then an economic model is presented to design control chart so that the average cost per item minimized. The r parameter in the chart is optimized with respect to the economic objective function, Modified Consumer Risk, and Modified Producer Risk.