A Discrete Day-to-Day Route Flow Dynamic Model for the Mixed Equilibrium Behavior

This study investigates a travelers’ day-to-day route flow dynamic model under a predefined market penetration of advanced traveler information system (ATIS). It is assumed that some travelers equipped with ATIS will follow the deterministic user equilibrium route choice behavior due to the complete traffic information provided by ATIS, while the other travelers unequipped with ATIS will follow the stochastic user equilibrium route choice behavior. The interaction between these two groups of travelers will result in a mixed equilibrium state. The authors first propose a discrete day-to-day route flow adjustment process for this mixed equilibrium behavior by specifying the travelers’ route adjustment principle and adjustment ratio. The convergence of proposed day-to-day flow dynamic model to the mixed equilibrium state is rigorously demonstrated under certain assumptions on route adjustment principle and adjustment ratio. In addition, without affecting the convergence of proposed day-to-day flow dynamic model, the assumption on the adjustment ratio is further relaxed, thus making the proposed model more appealing in practice. Finally, numerical experiments are conducted to illustrate the performance of proposed day-to-day flow dynamic model.

• Supplemental Notes:
  • This paper was sponsored by TRB committee ADB30 Standing Committee on Transportation Network Modeling. Alternate title: Discrete Day-to-Day Route Flow Dynamic Model for Mixed Equilibrium Behavior.
• Corporate Authors:

  Transportation Research Board

  500 Fifth Street, NW
  Washington, DC  United States  20001
• Authors:
  • Zhou, Bojian
  • Xu, Min
  • Meng, Qiang
  • Huang, Zhongxiang
• Conference:
  • Transportation Research Board 96th Annual Meeting
  • Location: Washington DC, United States
  • Date: 2017-1-8 to 2017-1-12
• Date: 2017

Language

• English

Media Info

• Media Type: Digital/other
• Pagination: 18p
• Monograph Title: TRB 96th Annual Meeting Compendium of Papers

Subject/Index Terms

• TRT Terms: Advanced traveler information systems; Route choice; Traffic equilibrium; Traffic flow; Traffic models
• Subject Areas: Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 01627526
• Record Type: Publication
• Report/Paper Numbers: 17-02258
• Files: TRIS, TRB, ATRI
• Created Date: Feb 27 2017 5:12PM