Ets-rt - 2002-002 Hierarchical Control of Production and Maintenance Rates in Manufacturing Systems
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چکیده
Electronic version of this technical report is available on the École de technologie supérieure web site The quoting of excerpts or the reproduction of short sections of this report are permitted only if the name of the author and reference to the document are given. Reproduction of all quantitatively or qualitatively important sections of the report requires authorization of the owner of the copyright. types de pièces. ABSTRACT This paper deals with the production and preventive maintenance planning control problem for a multi-machine flexible manufacturing system (FMS). A two-level hierarchical control model is developed according to the discrepancy between the time scale of the discounting cost event and the one of the machines states process. The proposed model extends the classical singular perturbation approach by considering age dependent machines failure rates and controlling both production and preventive maintenance rates. We replace the stochastic optimal control problem by a deterministic control problem called limiting control problem. With this approach, we compute an age dependent near-optimal control policy of the stochastic initial control problem from the optimal solution of the equivalent limiting control problem. A numerical example is used to illustrate the procedure and to show the reduction of the control problem size.
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تاریخ انتشار 2009