SYNERGETIC APPROACH TO MODELING OF PHASE TRANSITIONS IN TRANSPORTATION PASSENGER FLOWS

Galina Cherneva; Hristina Spiridonova

Scientific paper ID 1533 : 2017/3

SYNERGETIC APPROACH TO MODELING OF PHASE TRANSITIONS IN TRANSPORTATION PASSENGER FLOWS

Galina Cherneva, Hristina Spiridonova

The passenger flows in transport systems can be viewed as a collection of discrete units, witch to moving a designated channel in the system, called transport flows. The passenger flows depend on many factors - random factors or factors determined by the state of the transport system. These factors generate various fluctuations.

The passenger flows have some common characteristics: waves of compression and dilution, frequency during round the clock, week and year etc.

If filtered periodic fluctuations of the data remains considerable ”noise” (interference), whose character is stochastic or dynamic, i.e. in the passenger flows are monitored signs of random or deterministic chaotic behavior. Between different states are realized transitions, which under definite conditions may induce a process of self-organization.

Those characteristics of passenger flows allow it to be viewed as a complex non-linear dynamic system (NDS) and to study with synergetic methods.

In the work is proposed a model which can be tested processes transitions and self-organization in them, based on the analysis of the characteristics of the passenger flows in transport systems of synergistic positions.

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пътникопоток транспортни системи синергетика нелинейна динамична система самоорганизацияpassenger flow transport systems synergetic nonlinear dynamical system self-organisingGalina Cherneva Hristina Spiridonova

BIBLIOGRAPHY

[1] Stoilova V. Modeli na trafik v avtomagistrali. Godishnik TU Sofiya, t.63, kn.1, 2013, str.63-79 (Stoilova V. Modeli na traffic v avtomagistrali. Godishnik TU Sofia, v.63/1, 2013, pp.63-79)
( [1] Стоилова В. Модели на трафик в автомагистрали. Годишник ТУ София, т.63, кн.1, 2013, стр.63-79 (Stoilova V. Modeli na traffic v avtomagistrali. Godishnik TU Sofia, v.63/1, 2013, pp.63-79) )

[2] Prigogine I., Herman R. Kinetic theory of vehicular traffic. American Elsevier, N.Y. 1971.

[3] Helbing D. Improved fluid-dynamic model for vehicular traffic. Phys. Rev.E. Vol.51.1995, pp.3163-3169.

[4] Adewumi A., J. Kagamba, A. Alochukwu. Application of Chaos Theory in the Prediction of Motorised Traffic Flows on Urban Networks. Mathematical Problems in Engineering.V.2016, Article ID 5656734,pp. 15-31

[5] Shu-Zhi Zhao, Tong-He Ni, Yang Wang, Janice P.Li Train station passenger flow study. Proceedings of the Winter Simulation Conference. 2000. pp1173-1177

[6] Xiang-Tao Gao. A new approach to the prediction of passenger flow in a transit system. Computers and Mathematics with Applications 61/2011, pp. 1968–1974

[7] Kolesnichenko A. Self-organizing of Synchronized Traffic Flows under Influence of Noise-induced Transitions. IPM №57/2013, pp.19-39.

[8] Jackson E.A. Perspectives of Nonlinear Dinamics. Vol. I, II, Cambridge Univ. Press, Cambridge, 1990.

[9] Haken H. Synergetics. Introduction and Advanced Topics. Springer-Verlag Berlin Heidelberg, 2004.

[10] Olemskoi А. Тheory of stochastic systems with singular multiplicative noise. UFN, 1998, Volume 168, Number 3, Pages 287–321

[11] Shang P., M.Wanq S. Kama. Fractal nature of highway traffic data. Computers and Mathematics with Applications 54/2007, pp. 107–116

[12] Tihonov V., Mironov M. Markovskie protsessy. M. Sovetskoe radio, 1977. (Tihonov V., Mironov M. Markov processes. M. Sovetskoe radio,1977.)
( [12] Тихонов В., Миронов М. Марковские процессы. М. Советское радио, 1977. (Tihonov V., Mironov M. Markov processes. M. Sovetskoe radio,1977.) )