International Journal of Mathematical Research

Published by: Conscientia Beam
Online ISSN: 2306-2223
Print ISSN: 2311-7427
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No. 6

The Method of Determining the Function of Traffic Costs for the Node with Unregulated Flows of Requests

Pages: 45-57
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The Method of Determining the Function of Traffic Costs for the Node with Unregulated Flows of Requests

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Naumova N.А.

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Naumova N.А. (2013). The Method of Determining the Function of Traffic Costs for the Node with Unregulated Flows of Requests. International Journal of Mathematical Research, 2(6): 45-57. DOI:
Modeling of transportation networks with the purpose of optimization is a vital problem. The difficulties of numerical solution of optimization problems for networks mainly depend on the analytical definition of the function of traffic costs. We provide a developed mathematical model of transportation network based on the generalized Erlang time distribution. We also propose a classification of nodes. For the case of the node with unregulated intersection of multichannel lines as a system of mass service, we obtain an analytical realization of the function of traffic costs. We describe a method of determining the parameters of the generalized Erlang law from experimental data.
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