Optimal lot splitting on parallel machines

The control of manufacturing systems consisting of a certain number of parallel machines processing a given number of jobs is addressed in this work. A decentralised scheme composed of two decisional levels is defined in which, at a local level, the optimal control of each single machine is considered, whereas, at a higher level, the performances of a manufacturing system consisting of several machines are optimised. The relevant optimisation problem, with a quadratic cost function and non-linear constraints, is stated and solved as a multistage control problem to which dynamic programming techniques are applied to determine the sequence of optimal control closed-loop policies.

[1]  W. M. Wonham,et al.  The control of discrete event systems , 1989 .

[2]  Christos G. Cassandras,et al.  Modeling, Analysis, and Optimal Control of a Class of Hybrid Systems , 1998, Discret. Event Dyn. Syst..

[3]  P. Ramadge,et al.  Supervisory control of a class of discrete event processes , 1987 .

[4]  Simona Sacone,et al.  Optimal control law for lot-sizing in a single production facility , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[5]  Y. Wardi,et al.  Optimal release times in a single server: an optimal control perspective , 1998, IEEE Trans. Autom. Control..

[6]  Christos G. Cassandras,et al.  Introduction to Discrete Event Systems , 1999, The Kluwer International Series on Discrete Event Dynamic Systems.

[7]  Christos G. Cassandras,et al.  Optimal control of systems with time-driven and event-driven dynamics , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).