A feed-back model of control chart for supplier

In the supply chain system, prompt response of supplier to the feed-back trouble from the maker is important, and has become a key point of the supplier competitive edge. In the setting of the due time of the treatment to the various assignable causes, because idle cost and delay cost are the trade-off relation, setting the optimal due date becomes an important problem to the supplier. On the other hand, recently, to improve supplier quality, there has been an increased interest in IT (information technology) control charts which are used to monitor online production processes. To resolve the above problem, in this paper, first, a feed back model of control chart is proposed for supplier. Then, the cost elements of the feed-back case are analyzed and the mathematical formulations which correspond to the case are shown. Finally, to clarify the trade-off relation, the behaviors of idle and delay costs are studied. In addition, the setting of the optimal due time is discussed in detail.