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Solution to the user equilibrium dynamic traffic routing problem using feedback linearization

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  • Kachroo, Pushkin
  • Özbay, Kaan

Abstract

In this paper, the Dynamic Traffic Routing problem is defined as the real-time point diversion of traffic during non-recurrent congestion. This dynamic traffic routing problem is then formulated as a feedback control problem that determines the time-dependent split parameters at the diversion point for routing the incoming traffic flow onto the alternate routes in order to achieve a user-equilibrium traffic pattern. Feedback linearization technique is used to solve this specific user-equilibrium formulation of the Dynamic Traffic Routing problem. The control input is the traffic split factor at the diversion point. By transforming the dynamics of the system into canonical form, a control law is obtained which cancels the nonlinearities of the system. Simulation results show that the performance of this controller on a test network is quite promising.

Suggested Citation

  • Kachroo, Pushkin & Özbay, Kaan, 1998. "Solution to the user equilibrium dynamic traffic routing problem using feedback linearization," Transportation Research Part B: Methodological, Elsevier, vol. 32(5), pages 343-360, June.
    • Handle: RePEc:eee:transb:v:32:y:1998:i:5:p:343-360
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    References listed on IDEAS

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    1. Bin Ran & David E. Boyce & Larry J. LeBlanc, 1993. "A New Class of Instantaneous Dynamic User-Optimal Traffic Assignment Models," Operations Research, INFORMS, vol. 41(1), pages 192-202, February.
    2. Terry L. Friesz & Javier Luque & Roger L. Tobin & Byung-Wook Wie, 1989. "Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem," Operations Research, INFORMS, vol. 37(6), pages 893-901, December.
    3. 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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    Cited by:

    1. Kotsialos, Apostolos & Papageorgiou, Markos, 2004. "Motorway network traffic control systems," European Journal of Operational Research, Elsevier, vol. 152(2), pages 321-333, January.
    2. Pi, Xidong & Qian, Zhen (Sean), 2017. "A stochastic optimal control approach for real-time traffic routing considering demand uncertainties and travelers’ choice heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 710-732.

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