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Title of Article

CONSTRUCTION AND INVESTIGATION OF A PROBABILISTIC MODEL FOR THE CYCLIC CONTROL OF LOW INTENSITY FLOWS


Issue
4
Date
2014

Article type
scientific article
UDC
519.21
Pages
370-376
Keywords
conflict flows, Lyapunov-Yablonsky cybernetic approach, non-ordinary Poisson flow, Markov chain, stationary mode


Authors
Rachinskaya M.A.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Fedotkin M.A.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
A probabilistic model for the system of a cyclic control of independent conflicting flows and a service awaiting in-homogeneous calls in the form of a three-dimensional Markov chain is constructed on the basis of the Lyapunov-Yablonsky cybernetic approach. The chain states are classified. An existence criterion for the stationary mode is derived. The results are interpreted for the problem of controlling low-intensity traffic flows at the crossroads.

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