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Vector network equilibrium problems with capacity constraints of arcs

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  • Xu, Y.D.
  • Li, S.J.
  • Teo, K.L.

Abstract

In this paper, we study a (weak) vector equilibrium principle with capacity constraints of arcs and common arcs in some different paths. We obtain some necessary and sufficient conditions for a (weak) vector minimum cost flow. By virtue of a (weak) Δ-equilibrium principle, we also derive some necessary and sufficient conditions for a weak vector equilibrium flow.

Suggested Citation

  • Xu, Y.D. & Li, S.J. & Teo, K.L., 2012. "Vector network equilibrium problems with capacity constraints of arcs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 567-577.
    • Handle: RePEc:eee:transe:v:48:y:2012:i:3:p:567-577
    DOI: 10.1016/j.tre.2011.11.002
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    References listed on IDEAS

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    2. Yao, Jia & Chen, Yanqin & Chen, Anthony & Liu, Zhiyuan, 2024. "Modeling link capacity constraints with physical queuing and toll in the bi-modal mixed road network including bus and car modes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 184(C).

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