TY - JOUR
T1 - Dynamic electric power supply chains and transportation networks
T2 - An evolutionary variational inequality formulation
AU - Nagurney, Anna
AU - Liu, Zugang
AU - Cojocaru, Monica Gabriela
AU - Daniele, Patrizia
N1 - Funding Information:
The authors acknowledge support provided by the Radcliffe Institute for Advanced Study at Harvard University. This support is gratefully acknowledged and appreciated.
PY - 2007/9
Y1 - 2007/9
N2 - In this paper, we develop a static electric power supply chain network equilibrium model with known demands and establish the equivalence between the model and a transportation network equilibrium model with fixed demands over an appropriately constructed supernetwork. This equivalence yields a new interpretation of electric power supply chain network equilibria in path flows. We then exploit this equivalence to propose a dynamic electric power supply chain network model in which the demand varies over time using an evolutionary variational inequality formulation. Finally, we demonstrate how numerical dynamic electric power supply chain network problems can be solved utilizing recently obtained theoretical results in the unification of evolutionary variational inequalities and projected dynamical systems.
AB - In this paper, we develop a static electric power supply chain network equilibrium model with known demands and establish the equivalence between the model and a transportation network equilibrium model with fixed demands over an appropriately constructed supernetwork. This equivalence yields a new interpretation of electric power supply chain network equilibria in path flows. We then exploit this equivalence to propose a dynamic electric power supply chain network model in which the demand varies over time using an evolutionary variational inequality formulation. Finally, we demonstrate how numerical dynamic electric power supply chain network problems can be solved utilizing recently obtained theoretical results in the unification of evolutionary variational inequalities and projected dynamical systems.
UR - http://www.scopus.com/inward/record.url?scp=34250857553&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34250857553&partnerID=8YFLogxK
U2 - 10.1016/j.tre.2006.03.002
DO - 10.1016/j.tre.2006.03.002
M3 - Article
AN - SCOPUS:34250857553
SN - 1366-5545
VL - 43
SP - 624
EP - 646
JO - Transportation Research Part E: Logistics and Transportation Review
JF - Transportation Research Part E: Logistics and Transportation Review
IS - 5
ER -