An optimal control problem arising in flexible manufacturing systems

Author

Ghosh, Mrinal K. ; Arapostathis, Ari ; Marcus, Steven I.

Author_Institution

Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA

fYear

1991

fDate

11-13 Dec 1991

Firstpage

1844

Abstract

A controlled switching diffusion model is developed to study the hierarchical control of flexible manufacturing systems. The existence of a homogeneous Markov nonrandomized optimal policy is established by a convex analytic method. Using the existence of such a policy, the existence of a unique solution in a certain class to the associated Hamilton-Jacobi-Bellman equations is established, and the optimal policy is characterized as a minimizing selector of an appropriate Hamiltonian

Keywords

Markov processes; diffusion; flexible manufacturing systems; hierarchical systems; optimal control; optimisation; Hamilton-Jacobi-Bellman equations; controlled switching diffusion model; convex analytic method; flexible manufacturing systems; hierarchical control; homogeneous Markov nonrandomized optimal policy; minimizing selector; optimal control; optimisation; unique solution; Assembly; Buffer storage; Computer aided manufacturing; Control systems; Diffusion processes; Equations; Flexible manufacturing systems; Optimal control; Process control; Production; Workstations;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261732

Filename

261732