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Optimal Control of Manufacturing Systems

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Solution of a Fluid Approximation and Tracking by a Queueing Model.

We consider the optimal control of a large manufacturing system, over a finite time horizon, e.g. a semiconductor wafer fabrication plant.

We model this as a multi-class queueing network. We approximate the queueing network by a fluid network, and obtain an optimal fluid solution by solving a separated continuous linear program (SCLP).

To track this fluid solution we model the deviations of the real system from the fluid by a multi-class queueing network with infinite virtual queues (IVQ). By keeping these deviations stable we obtain an asymptotically optimal control policy.

We shall explain our motivation and the main features of this approach. We will then introduce the two themes on which it is based: A novel simplex like algorithm for the solution of SCLP , and the modeling device of IVQs.

Joint work with Anat Kopzon and Yoni Nazarathy

This talk is part of the Optimization and Incentives Seminar series.

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