Research on Setup Adjustment Problem Considering Adjustment Error Based on AR Model

Aiming at the short-run discrete manufacturing process with setup error, the optimal adjustment scheme to minimize the total process quality loss for the situation of adjustment with quadratic cost and considering adjustment error based on autoregressive (AR) model is developed. Based on the state-space process control model, the optimal adjustment scheme is derived by using Kalman filter on line estimation and linear quadratic Gaussian (LQG) theory. A simulation case is presented to illustrate the implement method of the optimal adjustment policy. Furthermore, the optimal adjustment scheme is compared with other quality control policy by simulations, and the results show that the adjustment solution presented by this paper is more effective than other to reduce the total quality loss of the process.