Used models and algorithms


  • User Equilibrium (Traffic Assignment problem) or All-or-Nothing assignment
    • This model is computed by Dial’s B algorithm (Dial 2006) that is fully optimized and parallelized.
  • The network model can reflect
    • cost of turning, and
    • turning bans

Origin-Destination matrix estimation

  • calibration of Origin-Destination matrix (ODM) using traffic count – least squares method
    • computed by Spiess’s heuristic algorithm

Our publications


Potuzak, T., & Kolovsky, F. (2022). Parallelization of the B static traffic assignment algorithm. Ain Shams Engineering Journal13(2), 101576.

Kolovský, F., & Kolingerová, I. (2022). The Piecewise Constant/Linear Solution for Dynamic User Equilibrium. Networks and Spatial Economics, 1-29.


Beran, D., Jedlička, K., Kumar, K., Popelka, S., & Stoter, J. The Third Dimension in Noise Visualization – a Design of New Methods for Continuous Phenomenon Visualization. The Cartographic Journal, 2021 Download


Jedlicka, K., Beran, D., Martolos, J., Kolovský, F., Kepka, M., Mildorf, T., Sháněl, J. Traffic Modellingfor the Smart City of Pilsen. The 8th International Conference on Cartography and GIS 2020. Bulgaria Download


Beran, D., Jedlička, K., Kolovský, F., Kepka, M., Martolos, J., Sháněl, J., Uhlíř, P., Bouchal, J. Interaktivní modelování dopravních intenzit. VŠB-TUO, Ostrava, Česká republika, 2019.

Kolovský, František. Algorithms in transportation. Plzeň, 2019. The State of the Art and Concept of PhD Thesis. University of West Bohemia. Supervisor Ivana Kolingerová. Download

Kolovský, F., Ježek, J., & Kolingerová, I. (2019). The ε-approximation of the time-dependent shortest path problem solution for all departure times. ISPRS International Journal of Geo-Information, 8(12), 538.


Kolovský, F., Ježek, J., and Kolingerová, I. (2018). The Origin-Destination matrix estimation for large transportation models in an uncongested network. In 2018 International Conference on Mathematical Applications, pages 17–22, Madeira – Portugal. Download


Jedlička, K., Hájek, P., Cada, V., Martolos, J., Šťastný, J., Beran, D., … & Kozhukh, D. (2016, May). Open Transport Map—Routable OpenStreetMap. In 2016 IST-Africa Week Conference (pp. 1-11). IEEE.


(Dial 2006) Dial, Robert B. “A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration.” Transportation Research Part B: Methodological 40.10 (2006): 917-936.

(Spiess 1990) Spiess, Heinz. “A gradient approach for the OD matrix adjustment problem.” (1990): 2.