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International Journal of Mathematical Research

December 2013, Volume 2, 6, pp 45-57

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

Naumova N.А.

Naumova N.А. 1

  1. Applied Mathematics Department, Kuban State Technological University, Krasnodar, Russia 1

on Google Scholar
on PubMed

Abstract:

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.
Contribution/ Originality

Keywords:

Mathematical model, Network, node, Unregulated intersection, Generalized Erlang law, Function of traffic costs

Reference:

Statistics:

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Funding:

Competing Interests:

Acknowledgement:


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