UDC 004.94; 004.02
DEVELOPMENT AND ANALYSIS OF STOCHASTIC MODEL OF ROAD TRAFFIC WITH NON-DETERMINISTIC VEHICLES ARRIVALS TIME LAW
A. S. Alyoshkin, Ph.D. (technical sciences), associate Professor of the Department of intelligent technologies and systems of the Moscow University of Technology (MIREA), Moscow, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.
S. A. Lesko, Ph.D. (technical sciences), associate Professor of the Department of system control and simulation of the Moscow University of Technology (MIREA), Moscow, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.
D. O. Zhukov, Ph.D. (technical sciences), full professor, Head of the Department of intelligent technologies and systems of the Moscow University of Technology (MIREA), Moscow, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.
The purpose of current article is to develop a traffic model to do some optimization of traffic flows. Based on the consideration of schemes of transition probabilities between transport node states a differential equation of the second order was obtained and a boundary-value problem whose solution describes the dependence of the probability of blocking individual nodes of transport network from characteristics of the road traffic in time was formulated. A study of the lengths formed at traffic lights queue shows approximately two-fold reduction in the number of jams with the use of the developed model of "controlled" traffic lights compared with the "classical movement" with fixed time.
Key words: transportation network, stochastic dynamics of network nodes blocking, flow balancing, boundary value problem.