Title :
A Petri net approach for the evaluation and command of a supply chain using the max plus algebra
Author :
Elmahi, Ilham ; Grunder, Olivier ; Elmoudni, Abdellah
Author_Institution :
Lab. S.e.T, Univ. de Technologie Belfort-Monbeliard, Belfort, France
Abstract :
We propose a modelling technique for the control of a supply link. We analyse it using a Petri net model, particularly a timed event graph (TEG). The proposed model allows establishing the state equations. They are developed in the (max,+) algebra to control the supply chain and estimate performance. Finally, numerical examples show the use of this model.
Keywords :
Petri nets; modelling; supply chain management; transportation; Petri net approach; max plus algebra; modelling technique; state equations; supply chain management; supply link control; timed event graph; Algebra; Costs; Equations; Logistics; Mathematical model; Petri nets; Stochastic processes; Supply chain management; Supply chains; Vehicles;
Conference_Titel :
Systems, Man and Cybernetics, 2002 IEEE International Conference on
Print_ISBN :
0-7803-7437-1
DOI :
10.1109/ICSMC.2002.1173269