Geodesic
Investigation of a~mathematical model of a~signal-controlled junction
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 4, pp. 108-119

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Efficient traffic organization is one of the most urgent problems of the modern society. The choice of optimal control regimes for intersecting traffic flows is a component of this problem. At present, a detailed description of the motion of an individual car and of a traffic flow is developed, which made it possible to create simulation programs that model traffic flows at a signal-controlled junction accurately enough. However, the the problem of developing a compact mathematical description of traffic motion at a junction is still important. We propose a model describing traffic flows through a signal-controlled junction; the model is based on the theory of queuing systems.
Keywords: control, Markov stochastic processes, traffic flows. 
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D. S. Zavalishchin; G. A. Timofeeva. Investigation of a~mathematical model of a~signal-controlled junction. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 4, pp. 108-119. http://geodesic.mathdoc.fr/item/TIMM_2009_15_4_a9/