Piecewise Deterministic Markov Process Model For Flexible Manufacturing Systems With Preventive Maintenance
In this paper, we consider a maintenance and production model of a flexible manufacturing system. The maintenance activity involves lubrication, routine adjustments, etc., which reduce the machine failure rates and therefore reduce the aging of the machines. The objective of the problem is to choose the rate of maintenance and the rate of production that minimize the overall costs of inventory/shortage, production, and maintenance. It is shown that the value function is locally Lipschitz. Then, the existence of the optimal control policy is shown, and necessary and sufficient conditions for optimality are obtained.
WMU ScholarWorks Citation
Boukas, E. K.; Zhu, Qiji Jim; and Zhang, Q., "Piecewise Deterministic Markov Process Model For Flexible Manufacturing Systems With Preventive Maintenance" (1994). Math Faculty Publications. 1.
Boukas, E.K., Zhu, Q. & Zhang, Q. Piecewise deterministic Markov process model for flexible manufacturing systems with preventive maintenance. Journal of Optimization Theory and Applications 81, 259–275 (1994). https://doi.org/10.1007/BF02191664