Classification of the traffic flow mathematical modeling methods

Due to the expansion of the transportation networks it becomes more and more challenging to analyze their operating parameters such as traffic capacity, average speed and rate of vehicles traffic flow on the chosen legs of the route, as well as the efficiency and volume of freight traffic etc. In this regard, we have analyzed the existing traffic flows formalization methods. It is estab-lished that the most popular one is a multiagent modeling method. Due to the consideration of the traffic participants’ individual characteristics, for example, the speed in the traffic flow, it allows us to develop a model close to the reality. This approach can be improved with the object of considering the drivers mental and physical condition impact on the decisions that they make.

References

[1] Gasnikov A.V., ed. Vvedenie v matematicheskoe modelirovanie transportnykh potokov [Introduction in mathematical modelling of traffic flows]. Moscow, MTsNMO publ., 2013, 215 p.

[2] Shvetsov V.I. Mathematical modeling of traffic flows. Avtomatika i telemekhanika, 2003, no. 11, pp. 3–46. (Eng. version: Automation and Remote Control, 2003, vol. 64, no. 11, pp. 1651–1689.)

[3] Nagel K., Schreckenberg M. A cellular automaton model for freeway traffic. Journal de Physique I, 1992, vol. 2, no. 12, pp. 2221–2229.

[4] Ivashkin Yu.A. Mul’tiagentnoe modelirovanie v imitatsionnoy sisteme Simplex 3 [Multi-agent modelling in Simplex 3 simulation system]. Moscow, Laboratoriya znaniy publ., 2016, 361 p.

[5] Stone P., Veloso M., Multiagent systems: a survey from a machine learning perspective. Autonomous Robots, 2000, vol. 8, no. 3, pp. 345–383.

[6] Wooldridge M. An introduction to multiagent systems. Wiley, 2009, 484 p.

[7] Doran J., Franklin S., Jenkins N.R., Norman T.J. On cooperation in multi-agent systems. UK Workshop on Foundations of Multiagent Systems, Warwick, 1996.

[8] Russel S., Norvig P. Artificial intelligence: a modern approach. Prentice Hall, 1995, 932 p.

[9] Rehtanz C., ed. Autonomous systems and intelligent agents in power system control and operation. Springer, 2003, 306 p.