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Dynamic electric power supply chains and transportation networks: An evolutionary variational inequality formulation

By Anna Nagurney, Zugang Liu, Monica-Gabriela Cojocaru and Patrizia Daniele

Abstract

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.Electric power Supply chain networks Dynamic transportation network equilibrium Evolutionary variational inequalities

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