Minimax production planning in failure prone manufacturing systems

Author

Boukas, E.K. ; Yang, H. ; Zhang, Q.

Author_Institution

Dept. of Mech. Eng., Ecole Polytechnique de Montreal, Que., Canada

Volume

3

fYear

1995

Firstpage

3134

Abstract

Considers a minimax production planning model of a flexible manufacturing system with machines that are subject to random breakdown and repair. The objective is to choose the rate of production that minimizes the related minimax cost of production and inventory/shortage. The value function is shown to be the unique viscosity solution to the associated Hamilton-Jacobi-Isaacs (HJI) equation. Under certain conditions, it is shown that the value function is continuously differentiable. A verification theorem is given to provide a sufficient condition for optimal control. Finally, two examples are solved explicitly

Keywords

flexible manufacturing systems; minimax techniques; production control; random processes; associated Hamilton-Jacobi-Isaacs equation; failure prone manufacturing systems; minimax cost; minimax production planning; optimal control; random breakdown; random repair; sufficient condition; unique viscosity solution; value function; verification theorem; Costs; Electric breakdown; Equations; Flexible manufacturing systems; Manufacturing systems; Minimax techniques; Optimal control; Production planning; Sufficient conditions; Viscosity;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.478628

Filename

478628