Title :
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
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;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261732
