Title
Optimal Control of Production Rate in a Manufacturing System Prone to Failure With General Distribution for Repair Time.
Abstract
The hedging-point policy is shown to be the optimal production rate control policy minimizing the expected total inventory cost over an infinite time horizon for a single-product production-inventory system prone to failure with exponentially distributed time to failure and generally distributed repair time. Then, using Laplace transform techniques, general expressions of the steady state probabilities and the optimal policy parameter, minimizing the expected inventory cost per unit of time, are developed for the general case of repair time. These general expressions are in turn used to deal with the special cases of exponentially, deterministically, and discretely distributed repair time.
Year
DOI
Venue
2016
10.1109/TAC.2016.2547978
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Maintenance engineering,Optimal control,Manufacturing systems,Steady-state,Process control,Planning
Mathematical optimization,Time horizon,Optimal control,Laplace transform,Expression (mathematics),Inventory theory,Control theory,Exponential distribution,Process control,Steady state,Mathematics
Journal
Volume
Issue
ISSN
61
12
0018-9286
Citations 
PageRank 
References 
0
0.34
3
Authors
1
Name
Order
Citations
PageRank
B. N. Khoury1303.73