Closed-form multiclass cell transmission model enhanced with overtaking, lane-changing, and first-in first-out properties

Kamonthep Tiaprasert, Yunlong Zhang, Chaodit Aswakul, Jian Jiao, Xin Ye

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


A novel multiclass macroscopic model is proposed in this article. In order to enhance first-in, first-out property (FIFO) and transmission function in the multiclass traffic modeling, a new multiclass cell transmission model with FIFO property (herein called FM-CTM) is extended from its prior multiclass cell transmission model (M-CTM). Also, to enhance its analytical compactness and resultant computational convenience, FM-CTM is formulated in this paper as a set of closed-form matrix equations. The objective is to improve the accuracy of traffic state estimation by enforcing FIFO property when a fast vehicle cannot overtake a slow vehicle due to a limitation of a single-lane road. Moreover, the proposed model takes into account a different priority for vehicles of each class to move forward through congested road conditions, and that makes the flow calculation independent from their free-flow speeds. Some hypothetical and real-world freeway networks with a constant or varying number of lanes are selected to verify FM-CTM by comparing with M-CTM and the conventional CTM. Observed densities of VISSIM and real-world dataset of I-80 are selected to compare with the simulated densities from the three CTMs. The numerical results show that FM-CTM outperforms the other two models by 15% of accuracy measures in most cases. Therefore, the proposed model is expected to be well applicable to the road network with a mixed traffic and varying number of lanes.

Original languageEnglish (US)
Pages (from-to)86-110
Number of pages25
JournalTransportation Research Part C: Emerging Technologies
StatePublished - Dec 2017
Externally publishedYes


  • Cell transmission model
  • Heterogeneous mobility
  • Multiclass macroscopic modeling
  • Traffic flow theory
  • Traffic network

ASJC Scopus subject areas

  • Transportation
  • Automotive Engineering
  • Civil and Structural Engineering
  • Management Science and Operations Research


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