Integrated design of preventive maintenance and quality control policy parameters with CUSUM chart

Performance of a production system depends on breakdown-free operation of equipment and processes. Maintenance and quality control play an important role in achieving this goal. This paper presents an integrated model for joint optimization of preventive maintenance and quality control policy with cumulative sum (CUSUM) control chart parameters. Two types of maintenance policies are considered, namely minimal corrective maintenance and imperfect preventive maintenance. The proposed model enables the determination of the optimal value of each of the five decision variables, i.e. sample size ( n ), sample interval ( h ), the reference value ( K ), the decision interval ( h 1 ) and preventive maintenance interval ( t PM ), that minimize the expected total system cost per unit time. A numerical example is presented to demonstrate the effect of the cost parameters on the integrated design of preventive maintenance and quality control policy. It also compares the system performance employing the proposed integrated approach with that obtained by considering maintenance and CUSUM chart independently. Substantial economic benefit of 19 % is seen in the joint optimization.