[J75-C72] Stable local dynamics for day-to-day departure time choice

Published in Transportation Research Part B, 2021

Recommended citation: Jin, W. L. (2021). Stable local dynamics for day-to-day departure time choice. Transportation Research Part B, 149, 463-479. https://doi.org/10.1016/j.trb.2021.05.013

Highlights:

  • Present a new dynamical system with local shifting of departure times.
  • Establish the asymmetrical upper bounds of the deferral and advance coefficients.
  • Derive the continuous version as a kinematic wave model.
  • Prove the stability of the user equilibrium with Lyapunov’s second method.
  • Verify the analytical results with numerical examples.
  • Provide guidelines for the derivation of new day-to-day dynamical system models.

Download paper here

A companion Jupyter Notebook for reproducible simulation results

The paper is also presented at ISTTT24 on 7/24/2022. The recorded video is available at bilibili.

Recommended citation: Jin, W. L. (2021). Stable local dynamics for day-to-day departure time choice. Transportation Research Part B, 149, 463-479.


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