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A bilevel optimization approach of energy transition in freight transport: SOS1 method and application to the Ecuadorian case

Author

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  • Daniel Villamar

    (Université de Perpignan Via Domitia
    Escuela Politécnica Nacional)

  • Didier Aussel

    (Université de Perpignan Via Domitia)

Abstract

In this work, we propose a new model to evaluate the impact of potential governmental policy as a green transition to decarbonise road freight transport. Contrary to the classical literature on the topic, our approach employs a bilevel structure optimization scheme. More precisely, a single-leader-multi-follower (SLMF) model is developed, where the state represents the leader and the freight companies act as the followers. A carbon tax is the selected public policy to foster the shift to less polluting freight technologies. The model responds to an exogenously determined demand that must be satisfied by a fleet that remains constant in size through time. The aim is thus to determine to what extent the tax policy will generate an evolution of the fleets of the different companies towards greener vehicles. An additional scientific contribution of the paper is that the SLMF model is solved thanks to a new numerical approach based on the so-called SOS1 technique. The implementation is applied in the case of the Ecuadorian freight transport and the results highlight an interesting evolution of the fleets.

Suggested Citation

  • Daniel Villamar & Didier Aussel, 2024. "A bilevel optimization approach of energy transition in freight transport: SOS1 method and application to the Ecuadorian case," Computational Management Science, Springer, vol. 21(2), pages 1-30, December.
  • Handle: RePEc:spr:comgts:v:21:y:2024:i:2:d:10.1007_s10287-024-00520-3
    DOI: 10.1007/s10287-024-00520-3
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    References listed on IDEAS

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    1. Xi, Haoning & Aussel, Didier & Liu, Wei & Waller, S.Travis. & Rey, David, 2024. "Single-leader multi-follower games for the regulation of two-sided mobility-as-a-service markets," European Journal of Operational Research, Elsevier, vol. 317(3), pages 718-736.
    2. Didier Aussel & Anton Svensson, 2019. "Towards Tractable Constraint Qualifications for Parametric Optimisation Problems and Applications to Generalised Nash Games," Journal of Optimization Theory and Applications, Springer, vol. 182(1), pages 404-416, July.
    3. Elisabetta Allevi & Didier Aussel & Rossana Riccardi, 2018. "On an equilibrium problem with complementarity constraints formulation of pay-as-clear electricity market with demand elasticity," Journal of Global Optimization, Springer, vol. 70(2), pages 329-346, February.
    4. Stephan Dempe, 2020. "Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography," Springer Optimization and Its Applications, in: Stephan Dempe & Alain Zemkoho (ed.), Bilevel Optimization, chapter 0, pages 581-672, Springer.
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