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

Naumova N.а

International Journal of Mathematical Research, 2013, vol. 2, issue 6, 45-57

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.

Keywords: Mathematical model; Network; node; Unregulated intersection; Generalized erlang law; Function of traffic costs (search for similar items in EconPapers)
Date: 2013
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