Optimal average cost manufacturing flow controllers: convexity and differentiability

The authors consider the control of a production facility consisting of a single workstation with multiple failure modes and part types using a continuous flow control model. Technical issues concerning the convexity and differentiability of the differential cost function are investigated. It is pro...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1999-04, Vol.44 (4), p.779-783
Main Authors: Veatch, M.H., Caramanis, M.C.
Format: Article
Language:English
Subjects:
Applied sciences
Automatic control
Boundaries
Computer science
control theory
systems
Control systems
Control theory
Control theory. Systems
Controllers
Convexity
Cost function
Exact sciences and technology
Failure modes
Linear systems
Manufacturing
Nonlinear control systems
Optimal control
Optimization
Output feedback
Stability
Switching
Workstations
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Summary:The authors consider the control of a production facility consisting of a single workstation with multiple failure modes and part types using a continuous flow control model. Technical issues concerning the convexity and differentiability of the differential cost function are investigated. It is proven that under an optimal control policy the differential cost is C/sup 1/ on attractive control switching boundaries.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.754817