Numerical methods for stochastic control problems in continuous time
Numerical methods for stochastic control problems in continuous time
Hierarchical decision making in stochastic manufacturing systems
Hierarchical decision making in stochastic manufacturing systems
Hedging point policy improvement
Journal of Optimization Theory and Applications
Design and Analysis of Experiments
Design and Analysis of Experiments
Mathematical and Computer Modelling: An International Journal
Journal of Intelligent Manufacturing
| Hi-index | 0.00 |
This paper deals with the control of corrective and preventive maintenance rates in the production planning of a manufacturing system with machines subject to random failures and repairs. The introduction of preventive and corrective maintenance will increase the availability of the production system which guarantees the improvement of the system's productivity if the production planning is well done. The objective of this study is to minimize a discounted overall cost consisting of maintenance cost, inventory holding and backlog cost. The decision variables are the production, the machine preventive and repair rates which influence the inventory levels and the system capacity respectively. In the proposed model, the failure rate of a machine depends on its age; hence, the corrective and preventive maintenance policies are machine-age dependent. A computational algorithm, based on numerical methods, is used for solving the optimal control problem. Finally, a numerical example and a sensitive analysis are presented to illustrate the usefulness of the proposed approach. The structure of the optimal control policy is presented and extensions to more complex manufacturing systems are discussed.