ANALYSIS OF CELL TRANSMISSION MODEL FOR TRAFFIC FLOW SIMULATION WITH APPLICATION TO NETWORK TRAFFIC

The cell transmission model (CTM) is a macroscopic model that describes the dynamics of traffic flow over time and space. The effectiveness and accuracy of the CTM are discussed in this paper. First, the CTM formula is recognized as a finite-volume discretization of the kinematic traffic model with...

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Veröffentlicht in:The ANZIAM journal Jg. 63; H. 1; S. 84 - 99
Hauptverfasser: MAULANA, A. S., PUDJAPRASETYA, S. R.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cambridge, UK Cambridge University Press 01.01.2021
Schlagworte:
Communications traffic
Exact solutions
Finite volume method
Flow simulation
Kinematics
Macroscopic models
Rarefaction
Roads & highways
Shock wave propagation
Shock waves
Simulation
Traffic flow
Traffic management
Traffic models
Travel time
junction
method of characteristics
cell transmission model
35L67
kinematic wave model
65M06
ISSN:1446-1811, 1446-8735
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Abstract The cell transmission model (CTM) is a macroscopic model that describes the dynamics of traffic flow over time and space. The effectiveness and accuracy of the CTM are discussed in this paper. First, the CTM formula is recognized as a finite-volume discretization of the kinematic traffic model with a trapezoidal flux function. To validate the constructed scheme, the simulation of shock waves and rarefaction waves as two important elements of traffic dynamics was performed. Adaptation of the CTM for intersecting and splitting cells is discussed. Its implementation on the road segment with traffic influx produces results that are consistent with the analytical solution of the kinematic model. Furthermore, a simulation on a simple road network shows the back and forth propagation of shock waves and rarefaction waves. Our numerical result agrees well with the existing result of Godunov’s finite-volume scheme. In addition, from this accurately proven scheme, we can extract information for the average travel time on a certain route, which is the most important information a traveller needs. It appears from simulations of different scenarios that, depending on the circumstances, a longer route may have a shorter travel time. Finally, there is a discussion on the possible application for traffic management in Indonesia during the Eid al-Fitr exodus.
AbstractList The cell transmission model (CTM) is a macroscopic model that describes the dynamics of traffic flow over time and space. The effectiveness and accuracy of the CTM are discussed in this paper. First, the CTM formula is recognized as a finite-volume discretization of the kinematic traffic model with a trapezoidal flux function. To validate the constructed scheme, the simulation of shock waves and rarefaction waves as two important elements of traffic dynamics was performed. Adaptation of the CTM for intersecting and splitting cells is discussed. Its implementation on the road segment with traffic influx produces results that are consistent with the analytical solution of the kinematic model. Furthermore, a simulation on a simple road network shows the back and forth propagation of shock waves and rarefaction waves. Our numerical result agrees well with the existing result of Godunov’s finite-volume scheme. In addition, from this accurately proven scheme, we can extract information for the average travel time on a certain route, which is the most important information a traveller needs. It appears from simulations of different scenarios that, depending on the circumstances, a longer route may have a shorter travel time. Finally, there is a discussion on the possible application for traffic management in Indonesia during the Eid al-Fitr exodus.
Author MAULANA, A. S.
PUDJAPRASETYA, S. R.
Author_xml – sequence: 1
  givenname: A. S.
  orcidid: 0000-0003-1495-6233
  surname: MAULANA
  fullname: MAULANA, A. S.
  email: adysulton@gmail.com
  organization: Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia; sr_pudjap@math.itb.ac.id
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  givenname: S. R.
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  surname: PUDJAPRASETYA
  fullname: PUDJAPRASETYA, S. R.
  email: sr_pudjap@math.itb.ac.id
  organization: Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia; sr_pudjap@math.itb.ac.id
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Cites_doi 10.1016/0191-2615(94)00022-R
10.1016/S1007-0214(10)70090-0
10.4208/eajam.210815.281215a
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Keywords junction
method of characteristics
cell transmission model
35L67
kinematic wave model
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Snippet The cell transmission model (CTM) is a macroscopic model that describes the dynamics of traffic flow over time and space. The effectiveness and accuracy of the...
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SubjectTerms Communications traffic
Exact solutions
Finite volume method
Flow simulation
Kinematics
Macroscopic models
Rarefaction
Roads & highways
Shock wave propagation
Shock waves
Simulation
Traffic flow
Traffic management
Traffic models
Travel time
Title ANALYSIS OF CELL TRANSMISSION MODEL FOR TRAFFIC FLOW SIMULATION WITH APPLICATION TO NETWORK TRAFFIC
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