Piecewise Deterministic Markov Process Model For Flexible Manufacturing Systems With Preventive Maintenance

Authors

E. K. Boukas, Ecole Polytechnique de Montreal
Qiji Jim Zhu, Western Michigan UniversityFollow
Q. Zhang, Ecole Polytechnique de Montreal

Document Type

Article

Publication Date

1994

Abstract

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.

Comments

https://doi.org/10.1007/BF02191664

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.
https://scholarworks.wmich.edu/math_pubs/1

Published Citation

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