Hierarchical controls in stochastic manufacturing systems with convex costs

Hierarchical controls in stochastic manufacturing systems with convex costs

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Article ID: iaor2000992
Country: United States
Volume: 80
Issue: 2
Start Page Number: 299
End Page Number: 317
Publication Date: Feb 1994
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Abstract:

This paper presents an extension of earlier research on hierarchical control of stochastic manufacturing systems with linear production costs. A new method is introduced to construct asymptotically optimal open-loop and feedback controls for manufacturing systems in which the rates of machine breakdown and repair are much larger than the rate of fluctuation in demand and rate of discounting of cost. This new approach allows us to carry out an asymptotic analysis on manufacturing systems with convex inventory/backlog and production costs as well as obtain error bound estimates for constructed open loop controls. Under appropriate conditions, an asymptotically optimal Lipschitz feedback control law is obtained.

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