Optimality of hedging point policies in the production control of failure prone manufacturing systems

Author

Hu, Jian-Qiang ; Vakili, Pirooz ; Yu, Guo-Xiang

Author_Institution

Dept. of Manuf. Eng., Boston Univ., MA, USA

Volume

39

Issue

9

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

1875

Lastpage

1880

Abstract

We study the necessary and sufficient conditions for the optimality of the hedging point policy for production systems in which the failure rate of machines depends on the rate of production. We focus on a one machine one part-type and infinite horizon discounted cost problem. It is shown that when the failure rate is independent of the rate of production and a constant, the hedging point policy is provably optimal. The main result of this paper is to show that the linearity of the failure rate function is both necessary and sufficient for the optimality of the hedging point policy

Keywords

failure analysis; optimal control; optimisation; production control; failure prone manufacturing systems; failure rate; hedging point policies; infinite horizon discounted cost problem; linearity; necessary conditions; one machine one part-type; optimality; production control; production rate; sufficient conditions; Adaptive control; Control systems; Manufacturing systems; Motion control; Motion planning; Optimal control; Production control; Production systems; Robotics and automation; Robots;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.317116

Filename

317116