Title :
Optimal average cost manufacturing flow controllers: convexity and differentiability
Author :
Veatch, Michael H. ; Caramanis, Michael C.
Author_Institution :
Dept. of Math., Gordon Coll., Wenham, MA, USA
fDate :
4/1/1999 12:00:00 AM
Abstract :
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 C1 on attractive control switching boundaries
Keywords :
costing; dynamic programming; optimal control; production control; state-space methods; average cost; convexity; differentiability; differential cost function; dynamic programming; manufacturing flow control; multiple failure modes; optimal control; production control; state space; Automatic control; Control systems; Control theory; Cost function; Linear systems; Manufacturing; Nonlinear control systems; Optimal control; Output feedback; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on