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Liping Liu published an academic paper in the journal of the operational research society

    A basic assumption in almost all the integrated models of statistical process control and preventive maintenance in the literature is that the system will be as good as new after the maintenance. This however is not practically true, as in real world, a maintenance repair will shorten the system life. Any system cannot live through infinitely many maintenance repairs. Therefore, there must be a limited number of times of maintenance beyond which it is not economically worth to consider another maintenance repair but simply to replace the entire system with a new one. To fill this void, we propose a geometric process to study a system that cannot be as good as new after a maintenance repair and it can only survive a certain number of preventive maintenances in the paper with the title “An integrated model of statistical process control and conditional based maintenance for deteriorating systems”. A mathematical formula is derived for the expected cycle time and for the expected cycle cost of the system using geometric process and renewal theory. A practically adaptive model of statistical process control with limited number of preventive maintenances is developed for an optimal termination time in minimizing the expected cycle cost. The paper is published in the journal of the operational research society, which is indexed in Social Sciences Citation Index(SSCI) and Science Citation Index(SCI).