Optimal control representation of the mathematical programming model for supply chain dynamic reconfiguration

Dmitry Ivanov (1) , Alexandre Dolgui (2, 3, 4) , Boris Sokolov (5) , Marina Ivanova (1)

1 Berlin School of Economics and Law
2 IMT Atlantique - DAPI - Département Automatique, Productique et Informatique
3 IMT Atlantique - IMT Atlantique
4 LS2N - Laboratoire des Sciences du Numérique de Nantes
5 SPIIRAS - Science of St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences

In this article, we develop an optimal control model of supply chain reconfiguration that has been previously investigated with the help of mathematical programming approach. The developed model can be used to represent the dynamics of a continuous-flow supply chain system with a hybrid discretecontinuous state space. Dynamics of the supply chain reconfiguration can be modelled more detailed using the aggregate optimal parameters determined in the mathematical programming representation. The results of this study allow to distribute parameters and variables between mathematical programming and optimal control models in order to exploit their advantages in a joint manner.

Mots clés: control; supply chain; mathematical programming; dynamics

Domaines: Automatique; Recherche opérationnelle [math.OC]

Dmitry Ivanov, Alexandre Dolgui, Boris Sokolov, Marina Ivanova. Optimal control representation of the mathematical programming model for supply chain dynamic reconfiguration. IFAC World Congress, Jul 2017, Toulouse, France. pp.4994 - 4999, ⟨10.1016/j.ifacol.2017.08.900⟩. ⟨hal-01687963⟩