Scientific journal
Scientific Review. Technical science
ISSN 2500-0799
ПИ №ФС77-57440

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THE DETERMINATION OF THE PARAMETERS OF THE DISTRIBUTION OF A GENERALIZED ERLANG LAW ON EXPERIMENTAL DATA IN THE STUDY OF TRANSPORT FLOWS

Naumova N.A. 1 Danovich L.M. 1 Danovich Y.I. 1
1 Kuban State Technological University
The problems of modeling and optimization of the distribution of traffic flow on the network t is urgent. The efficiency of solving tasks macro-modeling depends on the analytical forms of the functions of transport costs. In the paper we construct a mathematical model of functioning of the transport network, subject to the justice of a hypothesis about the distribution of intervals of time between vehicles in the flow of the generalized Erlang law. The density of the distribution, the cumulative distribution function and a method of calculating the theoretical moments for generalized Erlang distribution was given. The method of determining the parameters of a generalized Erlang law on experimental data was developed; the existence of solution of this problem was proved. The method for testing the hypothesis about the distribution of intervals of time between the cars in the stream was introduced.