Title :
Optimal control law for lot-sizing in a single production facility
Author :
Febbraro, A. Di ; Minciardi, R. ; Sacone, S.
Author_Institution :
Dept. of Commun. Comput. & Syst. Syst., Genoa Univ., Italy
Abstract :
The optimal control of a single machine processing a certain number of jobs and modelled as a discrete-event dynamic system is considered. The sequence of jobs is fixed, whereas their timing and sizes represent the control variables of the system. The objective function to be optimised is a weighted sum of the inventory cost and of the quadratic deviations of job lot-sizes and completion times from those specified by the production demand. The problem is formalised as a multistage optimal control problem and solved by a procedure making use of dynamic programming techniques; in this way, a proper real time control scheme is obtained
Keywords :
closed loop systems; decision theory; discrete event systems; distributed control; dynamic programming; optimal control; production control; completion times; discrete-event dynamic system; inventory cost; lot-sizing; multistage optimal control problem; production demand; quadratic deviations; real time control scheme; single production facility; timing; Automatic control; Control systems; Cost function; Distributed control; Lot sizing; Manufacturing systems; Mathematical programming; Optimal control; Production; Timing;
Conference_Titel :
Robotics and Automation, 2000. Proceedings. ICRA '00. IEEE International Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-5886-4
DOI :
10.1109/ROBOT.2000.846423
