A New Cell Transmission Model with Priority Vehicles and Special Lanes

Daganzo (1997) proposed a kinematic wave model of a traffic system with priority vehicles and special lanes, where the priority vehicles can use both regular and special lanes, but the regular vehicles can only use the regular lanes. Further in Daganzo et al. (1997), the Incremental Transfer (IT) principle was applied to devise a Cell Transmission Model to numerically solve the model. In this paper the authors first derive the fundamental diagram of a traffic system with priority vehicles and special lanes based on Wardrop’s user equilibrium principle and then show after transforming the variables that there exist two auxiliary Lighthill-Whitham-Richards models, which can be used to define the demand and supply functions. The authors present a new junction flux function for the Cell Transmission Model, which is simpler than the IT principle, and more importantly, is a lane-based formulation. Comparing the proposed fluxes with the Godunov (or IT principle) ones analytically, the authors identify the cases where they are different. Nevertheless, with numerical experiments, the authors demonstrate that they are consistent in all the cases in the sense that the stationary states of both models are identical. Finally, the authors show numerical examples that demonstrate the IT principle is not invariant by using a non-triangular fundamental diagram.

• Record URL:
  • https://doi.org/10.1016/j.trpro.2018.11.010
• Record URL:
  • http://www.sciencedirect.com/science/article/pii/S2352146518302990
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/23521465
• Supplemental Notes:
  • © 2018 Wen-Long Jin and Kentaro Wada. Published by Elsevier B.V. Abstract reprinted with permission of Elsevier.
• Authors:
  • Jin, Wen-Long
  • Wada, Kentaro
• Conference:
  • International Symposium of Transport Simulation (ISTS’18) and the International Workshop on Traffic Data Collection and its Standardization (IWTDCS’18)
  • Location: Matsuyama , Japan
  • Date: 2018-8-6 to 2018-8-8
• Publication Date: 2018

Language

• English

Media Info

• Media Type: Web
• Features: Figures; References; Tables;
• Pagination: pp 28-35
• Serial:
  • Transportation Research Procedia
  • Volume: 34
  • Issue Number: 0
  • Publisher: Elsevier
  • ISSN: 2352-1465
  • Serial URL: http://www.sciencedirect.com/science/journal/23521465/
• Publication flags:

  Open Access (libre)

Subject/Index Terms

• TRT Terms: Managed lanes
• Uncontrolled Terms: Cell transmission models; Fundamental diagrams; Incremental transfer principle; Kinematic wave models; Priority vehicles
• Subject Areas: Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 01689695
• Record Type: Publication
• Files: TRIS
• Created Date: Dec 24 2018 2:56PM