350 rub
Journal Nonlinear World №1 for 2015 г.
Article in number:
Тhe marginal probability model of traffic jams
Keywords: traffic jam the probability of formation of a traffic jam power series theorem about deductions
Authors:
I.N. Aliev - Dr. Sc. (Phys.-Math.), Professor. Bauman Moscow State Universit. E-mail: alievprof@yandex.ru P.P. Poluektov - Dr. Sci. (Phys.-Math.), Bochvara Russian Scientific Research Institute of Inorganic Materials. E-mail:ppp@bochvar.ru
Abstract:
In this work the problem of the probability of occurrence of traffic jams homogeneous type, where one slowly moving car slows some number of cars, moving her, had been considered. When calculating the resulting combinatorial sums coefficient method had been used. The analytical results obtained is decreasing exponentially with the size of the column.
Pages: 55-58
References

 

  1. Per Bak.Kak rabotaet priroda. Teorija samoorganizovannojj kritichnosti. M.:URSS. 2014.
  2. Nagel K., Paczuski M. Emergent Traffic Jams // Physical Review. 1995. E51. P. 2909.
  3. Egorychev G.P. Kombinatornye summy i metod proizvodjashhikh funkcijj. Krasnojarsk: Izd-vo Krasnojarskogo gos. un-ta. 1974.
  4. Leontev V.K.Izbrannye zadachi kombinatornogo analiza. M.: Izd-vo MGTU. 2001.
  5. Gutenberg B. Richter C. Seismicity of the earth. Princeton. NJ: Princeton University Press. 1949.
  6. Mandelbrot B. How long is the coast of Britain? // Science. 1967. V.156.
  7. Mandelbrot Benua B. Fraktalnaja geometrija prirody. M.: Institutkompjuternykhissledovanijj.  2002.
  8. Helbing D. Traffic and related self-driven many-particle systems // Reviews of modern physics. 2001. V.73. P.1067.