TY - JOUR
N2 - A problem of optimization for production and storge costs is studied. The problem consists in manufacture of n types of products, with some given restrictions, so that the total production and storage costs are minimal. The mathematical model is built using the framework of driftless control affine systems. Controllability is studied using Lie geometric methods and the optimal solution is obtained with Pontryagin Maximum Principle. It is proved that the economical system is not controllable, in the sense that we can only produce a certain quantity of products. Finally, some numerical examples are given with graphical representation.
L1 - http://so.czasopisma.pan.pl/Content/121920/PDF-MASTER/art06.pdf
L2 - http://so.czasopisma.pan.pl/Content/121920
PY - 2021
IS - No 4
EP - 881
DO - 10.24425/acs.2021.139734
KW - optimal control
KW - Pontryagin Maximum Principle
KW - controllability
KW - production and storage
A1 - Popescu, Liviu
A1 - Dimitrov, Ramona
PB - Committee of Automatic Control and Robotics PAS
VL - vol. 31
DA - 2021.12.27
T1 - Application of maximum principle to optimization of production and storage costs
SP - 865
UR - http://so.czasopisma.pan.pl/dlibra/publication/edition/121920
T2 - Archives of Control Sciences
ER -