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Optimal control of manufacturing flow and preventive maintenance

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2 Author(s)
Boukas, E.K. ; Dept. of Mech. Eng., Ecole Polytech. de Montreal, Que., Canada ; Yang, H.

In this paper, we address the optimal control issues corresponding to the planning of the production rate and maintenance rate of a failure prone manufacturing system. The discounted cost of our optimization problem is assumed to be a function of the inventory and the maintenance rate, where certain cost rates are specified for positive and negative inventories and maintenance, and there is a constant demand rate for the commodity produced. The objective of this paper is to choose the rates of production and maintenance to minimize a discounted cost over infinite horizon and to partially characterize the optimal solution. In the case where the maximum maintenance rate ν¯ is equal to a constant coefficient times the maximum production rate u¯, we obtain a solution and show that the optimal solution is characterized by a critical surface, namely “hedging surface”. Its description is also given

Published in:

Automatic Control, IEEE Transactions on  (Volume:41 ,  Issue: 6 )