Optimal Control Applications in the Study of Production Management
Liviu Popescu, Nicolae Daniel Militaru, Mircea Ovidiu Mitucă · International Journal of Computers Communications & Control · 2020
A mathematical model for an economic problem of production management is proposed. The continuous optimal control problem is solved, by using the Pontryagin Maximum Principle at the level of a new space, called Lie algebroid. The controllability of the economic system is studied by using Lie geometric methods and involves restrictions on the final stock quantities. Finally, a numerical application is given.