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

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

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.

Suggested Citation

  • Nagurney, Anna & Liu, Zugang & Cojocaru, Monica-Gabriela & Daniele, Patrizia, 2007. "Dynamic electric power supply chains and transportation networks: An evolutionary variational inequality formulation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 624-646, September.
    • Handle: RePEc:eee:transe:v:43:y:2007:i:5:p:624-646
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    Citations

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    Cited by:

    1. Longfei He & Qinxu Gu & Junsong Bian & Kin Keung Lai & Xiao Zhang, 2023. "To Pool or Not to Pool in Carbon Quotas: Analyses of Emission Regulation and Operations in Supply Chain Supernetwork under Cap-and-Trade Policy," Annals of Operations Research, Springer, vol. 324(1), pages 311-353, May.
    2. Nagurney, Anna & Nagurney, Ladimer S., 2012. "Dynamics and equilibria of ecological predator–prey networks as nature’s supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 89-99.
    3. Shipra Singh & Aviv Gibali & Simeon Reich, 2021. "Multi-Time Generalized Nash Equilibria with Dynamic Flow Applications," Mathematics, MDPI, vol. 9(14), pages 1-23, July.
    4. Liu, Zugang & Nagurney, Anna, 2011. "Supply chain outsourcing under exchange rate risk and competition," Omega, Elsevier, vol. 39(5), pages 539-549, October.
    5. Toyasaki, Fuminori & Daniele, Patrizia & Wakolbinger, Tina, 2014. "A variational inequality formulation of equilibrium models for end-of-life products with nonlinear constraints," European Journal of Operational Research, Elsevier, vol. 236(1), pages 340-350.
    6. Tsao, Yu-Chung & Vu, Thuy-Linh, 2019. "Power supply chain network design problem for smart grid considering differential pricing and buy-back policies," Energy Economics, Elsevier, vol. 81(C), pages 493-502.
    7. Zugang Liu & Anna Nagurney, 2009. "An integrated electric power supply chain and fuel market network framework: Theoretical modeling with empirical analysis for New England," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(7), pages 600-624, October.
    8. Shipra Singh & Aviv Gibali & Simeon Reich, 2024. "Multidimensional Evolution Effects on Non-Cooperative Strategic Games," Mathematics, MDPI, vol. 12(16), pages 1-30, August.
    9. Patrizia Daniele & Sofia Giuffrè, 2015. "Random Variational Inequalities and the Random Traffic Equilibrium Problem," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 363-381, October.
    10. Guo, Zhaomiao & Fan, Yueyue, 2017. "A Stochastic Multi-Agent Optimization Model for Energy Infrastructure Planning Under Uncertainty and Competition," Institute of Transportation Studies, Working Paper Series qt89s5s8hn, Institute of Transportation Studies, UC Davis.
    11. Tao, Zhang Gui & Guang, Zhong Yong & Hao, Sun & Song, Hu Jin & Xin, Dai Geng, 2015. "Multi-period closed-loop supply chain network equilibrium with carbon emission constraints," Resources, Conservation & Recycling, Elsevier, vol. 104(PB), pages 354-365.
    12. Anna Nagurney & Patrizia Daniele & Ladimer S. Nagurney, 2020. "Refugee migration networks and regulations: a multiclass, multipath variational inequality framework," Journal of Global Optimization, Springer, vol. 78(3), pages 627-649, November.
    13. Vahl, Fabrício Peter & Rüther, Ricardo & Casarotto Filho, Nelson, 2013. "The influence of distributed generation penetration levels on energy markets," Energy Policy, Elsevier, vol. 62(C), pages 226-235.
    14. Elisabetta Allevi & Adriana Gnudi & Igor V. Konnov & Giorgia Oggioni, 2017. "Dynamic Spatial Auction Market Models with General Cost Mappings," Networks and Spatial Economics, Springer, vol. 17(2), pages 367-403, June.
    15. Zhaobo Chen & Chunying Tian & Ding Zhang & Dongyan Chen, 2020. "Dynamic model of a supply chain network with sticky price," Operational Research, Springer, vol. 20(2), pages 649-670, June.
    16. Yamada, Tadashi & Imai, Koji & Nakamura, Takamasa & Taniguchi, Eiichi, 2011. "A supply chain-transport supernetwork equilibrium model with the behaviour of freight carriers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 887-907.

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