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Original Articles

Mathematical modelling of network traffic flow

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Pages 333-338 | Received 15 Jun 2009, Accepted 03 Nov 2009, Published online: 27 Oct 2010

References

  • Akgüngör , A. P. 2008a . A new delay parameter dependent on variable analysis periods at signalized intersections. Part 1: Model development . Transport , 23 (1) : 31 – 36 . doi:10.3846/1648–4142.2008.23.31–36
  • Akgüngör , A. P. 2008b . A new delay parameter dependent on variable analysis periods at signalized intersections. Part 2: Validation and application . Transport , 23 (2) : 91 – 94 . doi:10.3846/1648–4142.2008.23.91–94
  • Antov , D. , Abel , K. , Sürje , P. , Rõuk , H. and Rõivas , T. 2009 . Speed reduction effects of urban roundabouts . The Baltic Journal of Road and Bridge Engineering , 4 (1) : 22 – 26 . doi:10.3846/1822–427X.2009.4.22–26
  • Berezhnoy , A. , Grakovsky , A. and Nesterov , A. 2007 . The “green wave” mode production on the two‐lane highways during the construction works time period . Transport , 22 (4) : 263 – 268 .
  • Bonzani , I. 2007 . Hyperbolicity analysis of a class of dynamical systems modeling traffic flow . Applied Mathematics Letters , 20 (8) : 933 – 937 . doi:10.1016/j.aml.2006.06.022
  • Chalons , C. and Goatin , P. 2008 . Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling . Interface and Free Boundaries , 10 (2) : 197 – 221 .
  • Daunoras , J. , Bagdonas , V. and Gargasas , V. 2008 . City transport monitoring and routes optimal management system . Transport , 23 (2) : 144 – 149 . doi:10.3846/1648–4142.2008.23.144–149
  • Flötteröd , G. and Nagel , K. High speed combined micro/ macro simulation of traffic flow . 2007 IEEE Intelligent Transportation Systems Conference . September 30 2007 , Bellevue, WA. pp. 926 – 931 . 3 October
  • Gasser , I. 2003 . On non‐entropy solutions of scalar conservation laws for traffic flow . ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik , 83 (2) : 137 – 143 . doi:10.1002/zamm.200310013
  • Gning , A. , Mihaylova , L. and Boel , R. An interval compositional vehicular traffic model for real‐time applications . 2008 IEEE Intelligent Vehicles Symposium . June 4–6 2008 , Eindhoven, Netherlands. pp. 494 – 499 .
  • Gowri , A. and Sivanandan , R. 2008 . Evaluation of left turn channelization at a signalized intersection under heterogeneous traffic conditions . Transport , 23 (3) : 221 – 229 . doi:10.3846/1648–4142.2008.23.221–229
  • Helbing , D. and Greiner , A. 1997 . Modeling and simulation of multi‐lane traffic flow . Physical Review E , 55 (5) : 5498 – 5508 . doi:10.1103/PhysRevE.55.5498
  • Jakimavičius , M. and Burinskiene , M. 2007 . Automobile transport system analysis and ranking in Lithuanian administrative regions . Transport , 22 (3) : 214 – 220 .
  • Jakimavičius , M. and Burinskiene , M. 2009 . A GIS and multi‐criteria‐based analysis and ranking of transportation zones of Vilnius city . Technological and Economic Development of Economy , 15 (1) : 39 – 48 . doi:10.3846/1392–8619.2009.15
  • Junevičius , R. and Bogdevičius , M. 2007 . Determination of traffic flow parameters in different traffic flow interaction cases . Transport , 22 (3) : 236 – 239 .
  • Junevičius , R. , Bogdevičius , M. and Hunt , U. October 2007 . “ Roundabout traffic flow intersection ” . In Transport Means 2007, Proceedings , October , 18 – 19 . 10 – 14 . Lithuania : Kaunas . 2007
  • Kerner , B. S. and Klenov , S. L. 2006 . Deterministic microscopic three‐phase traffic flow models . Journal of Physics A: Mathematical and General , 39 (8) : 1775 – 1809 . doi:10.1088/0305–4470/39/8/002
  • Kim , Y. and Keller , H. March 2002 . “ On‐line traffic flow model applying the dynamic flow‐density relation ” . In Eleventh International Conference on Road Transport Information and Control March , 19 – 21 . 486 141 – 145 . London, , England 2002
  • Knowles , J. K. 2008 . On entropy conditions and traffic flow models . ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik , 88 (1) : 64 – 73 . doi:10.1002/zamm.200700093
  • Li , L. and Xu , L. 10–12 September 2008 . “ Linear stability analysis of a multi‐vehicle car‐following traffic flow model ” . In 2008 International Conference on Management Science & Engineering (15th) 10–12 September , 1642 – 1647 . Long Beach, CA 2008
  • Liu , T. , Jia , L. and Zhu , W. A new traffic flow model with the effects of backward looking and relative current . Fifth International Conference on Fuzzy Systems and Knowledge Discovery . October 18–20 2008 , Jinan Shandong, China. pp. 5 438 – 442 .
  • Nikolov , E. Traffic flow model based on the green‐function . IS'08. 4th International IEEE Conference Intelligent Systems . September 6–8 2008 , Varna, Bulgaria. pp. 1 20084–25–4–32
  • Prigogine , I. and Herman , R. C. 1971 . Kinetic Theory of Vehicular Traffic , 1st edition 100 Elsevier
  • Safanov , L. A. , Tomer , E. , Strygin , V. V. and Havlin , S. 2000 . Periodic solutions of a non‐linear traffic model . Physica A: Statistical Mechanics and its Applications , 285 (1–2) : 147 – 155 .
  • Sivilevičius , H. and Šukevičius , Š . 2007 . Dynamics of vehicle loads on the asphalt pavement of European roads which cross Lithuania . The Baltic Journal of Road and Bridge Engineering , 2 (4) : 147 – 154 .
  • Tampère , C. M. J. 2004 . Human‐Kinetic Multiclass Traffic Flow Theory and Modeling. With Application to Advanced Driver Assistance Systems in Congestion , 309 Delft University of Technology . PhD ThesisAvailable from Internet: <http://etdindividuals.dlib.vt.edu:9090/293/1/proefschrift_final.pdf>
  • Yousefi , S. and Fathy , M. 2008 . Metrics for performance evaluation of safety applications in vehicular ad hoc networks . Transport , 23 (4) : 291 – 298 . doi:10.3846/1648–4142.2008.23

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