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

Anna Nagurney, Zugang Liu, Monica Gabriela Cojocaru, Patrizia Daniele

Research output: Contribution to journalArticle

54 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)624-646
Number of pages23
JournalTransportation Research Part E: Logistics and Transportation Review
Volume43
Issue number5
DOIs
StatePublished - Sep 2007

All Science Journal Classification (ASJC) codes

  • Business and International Management
  • Civil and Structural Engineering
  • Transportation

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