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Proportionally fair flow markets for transportation networks

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  • Aalami, Soheila
  • Kattan, Lina

Abstract

The concept of proportionally fair markets for transportation networks is studied. The goal is to find methods for flow allocation to origin/destination pairs in urban communities which is fair, efficient, and able to dynamically adapt to the changes in origin/destinations and traffic network. Two flow markets are designed and studied. Distributed and dynamic algorithms are developed to find the proportional fair allocation of flow among competing origin/destinations. Additionally, existence, uniqueness and stability of the equilibrium points are proved for both markets. Our numerical simulations supplement the stability and practicality of our proposed algorithms.

Suggested Citation

  • Aalami, Soheila & Kattan, Lina, 2022. "Proportionally fair flow markets for transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 157(C), pages 24-41.
    • Handle: RePEc:eee:transb:v:157:y:2022:i:c:p:24-41
    DOI: 10.1016/j.trb.2021.12.012
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