A cell-based dynamic congestion pricing scheme considering travel distance and time delay

Qixiu Cheng, Zhiyuan Liu, W. Y. Szeto

Research output: Journal article publicationJournal articleAcademic researchpeer-review

40 Citations (Scopus)


This study introduces the dynamic congestion pricing (DCP) problem with the consideration of the actual travel distance and time delay (i.e. a joint distance and time-delay toll, JDTDT) in a dynamic network, which is more equitable and effective compared with existing tolling scheme. The system dynamics can be reflected in two aspects: (a) travelers' path choice decisions follow the dynamic user equilibrium principle and (b) the joint distance and time-delay toll takes a time-varying pattern. A multiperiod demand scheme is adopted during the entire modeling horizon and a bi-level programming model for the DCP is formulated to obtain the optimal toll value. Numerical results indicate that the percentage reductions of the minimum total system travel time in the dynamic JDTDT scheme are 6.28%, 4.30% and 7.45% compared to that obtained by the static joint JDTDT, the dynamic joint distance and time toll, and the dynamic pure distance toll, respectively.

Original languageEnglish
Pages (from-to)1286-1304
Number of pages19
JournalTransportmetrica B
Issue number1
Publication statusPublished - 23 Dec 2019
Externally publishedYes


  • bi-Level programming model
  • dynamic user equilibrium
  • Joint distance and time-delay toll
  • path-Based cell transmission model
  • variational inequality

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Transportation


Dive into the research topics of 'A cell-based dynamic congestion pricing scheme considering travel distance and time delay'. Together they form a unique fingerprint.

Cite this