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Feedback Control Theory for Dynamic Traffic Assignment pp 249–266Cite as

Feedback Routing via Congestion Pricing

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Part of the book series: Advances in Industrial Control ((AIC))

Abstract

This chapter addresses a control design for performing dynamic congestion pricing as a method to perform traffic assignment to achieve certain objective. The design uses the methodology of optimal control theory. The formulation allows for modeling tolled and non-tolled lanes or routes. A logit model connects the toll price with the driver choice behavior. A feedback optimal tolling control law is designed based on deriving the corresponding Hamilton–Jacobi–Bellman equation for the model of the system. Simulations are also presented to illustrate the working of the control design. Some of the content of this chapter has been adapted from the following paper: \(\copyright \) 2016 IEEE. Reprinted, with permission, from: Kachroo P, Gupta S, Agarwal S, Özbay K., “Optimal Control for Congestion Pricing: Theory, Simulation, and Evaluation,” IEEE Transactions on Intelligent Transportation Systems. 2017 May; 18(5):1234–40.

Some of the content of this chapter has been adapted from the following paper: \(\copyright \) 2016 IEEE. Reprinted, with permission, from: Kachroo P, Gupta S, Agarwal S, Özbay K., “Optimal Control for Congestion Pricing: Theory, Simulation, and Evaluation,” IEEE Transactions on Intelligent Transportation Systems. 2017 May; 18(5):1234–40.

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Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Nevada, Las Vegas, NV, USA

    Pushkin Kachroo

  2. Department of Civil and Urban Engineering, New York University, Brooklyn, NY, USA

    Kaan M. A. Özbay

Authors
  1. Pushkin Kachroo
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  2. Kaan M. A. Özbay
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Correspondence to Pushkin Kachroo .

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Kachroo, P., Özbay, K.M.A. (2018). Feedback Routing via Congestion Pricing. In: Feedback Control Theory for Dynamic Traffic Assignment. Advances in Industrial Control. Springer, Cham. https://doi.org/10.1007/978-3-319-69231-9_10

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  • DOI: https://doi.org/10.1007/978-3-319-69231-9_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-69229-6

  • Online ISBN: 978-3-319-69231-9

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