Stochastic cell transmission model for traffic network with demand and supply uncertainties

R. X. Zhong, Agachai Sumalee, T. L. Pan, Hing Keung William Lam

Research output: Journal article publicationJournal articleAcademic researchpeer-review

40 Citations (Scopus)


This article extends the stochastic cell transmission model (SCTM) to simulate traffic flows on networks with stochastic demand and supply. The SCTM divides a roadway segment into cells and accepts the means and variances of stochastic travel demand and supply functions as exogenous inputs, and produces the corresponding cell traffic densities over time. This article defines the rules of flow propagation for freeway corridors, traffic merges/diverges and signalised junctions based on a kind of link-node model. In the numerical studies, we simulate the proposed model with a hypothetical network. We apply the SCTM to estimate the queues and delays at signalised intersections. Compared with some well-known delay and queue estimation formulas, e.g. Webster, Beckmann, McNeil and Akcelik, the results show good consistency between the SCTM and these formulas. In addition, the SCTM describes the temporal behaviour of the queue and delay distributions at signalised junctions with stochastic supply functions and (non-stationary) arrivals.
Original languageEnglish
Pages (from-to)567-602
Number of pages36
JournalTransportmetrica A: Transport Science
Issue number7
Publication statusPublished - 11 Sept 2013


  • probabilistic distribution
  • queue length
  • signal delay
  • spillback
  • stochastic cell transmission model
  • traffic density

ASJC Scopus subject areas

  • Transportation
  • General Engineering


Dive into the research topics of 'Stochastic cell transmission model for traffic network with demand and supply uncertainties'. Together they form a unique fingerprint.

Cite this