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System-Optimal Routing of Traffic Flows with User Constraints in Networks with Congestion

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Listed:
  • Jahn, Olaf
  • Möhring, Rolf
  • Schulz, Andreas
  • Stier Moses, Nicolás

Abstract

The design of route-guidance systems faces a well-known dilemma. The approach that theoretically yields the system-optimal traffic pattern may discriminate against some users, for the sake of favoring others. Proposed alternate models, however, do not directly address the system perspective and may result in inferior performance. We propose a novel model and corresponding algorithms to resolve this dilemma. We present computational results on real-world instances and compare the new approach with the well-established traffic assignment model. The quintessence is that system-optimal routing of traffic flow with explicit integration of user constraints leads to a better performance than the user equilibrium while simultaneously guaranteeing a superior fairness compared to the pure system optimum.

Suggested Citation

  • Jahn, Olaf & Möhring, Rolf & Schulz, Andreas & Stier Moses, Nicolás, 2004. "System-Optimal Routing of Traffic Flows with User Constraints in Networks with Congestion," Working papers 4394-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    • Handle: RePEc:mit:sloanp:7380
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    File URL: http://hdl.handle.net/1721.1/7380
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    References listed on IDEAS

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    1. Larsson, Torbjörn & Patriksson, Michael, 1995. "An augmented lagrangean dual algorithm for link capacity side constrained traffic assignment problems," Transportation Research Part B: Methodological, Elsevier, vol. 29(6), pages 433-455, December.
    2. Larsson, Torbjörn & Patriksson, Michael, 1999. "Side constrained traffic equilibrium models-- analysis, computation and applications," Transportation Research Part B: Methodological, Elsevier, vol. 33(4), pages 233-264, May.
    3. Yang, Hai & Yagar, Sam, 1994. "Traffic assignment and traffic control in general freeway-arterial corridor systems," Transportation Research Part B: Methodological, Elsevier, vol. 28(6), pages 463-486, December.
    4. Papageorgiou, Markos, 1990. "Dynamic modeling, assignment, and route guidance in traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 24(6), pages 471-495, December.
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    Keywords

    Intelligent Transportation Systems; Route Guidance; Traffic Flow; System Optimum; User Equilibrium; Multicommodity Flow; Constrained Shortest Path;

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