Open AccessThe Method of Determining the Function of Traffic Costs for the Node with Unregulated Flows of Requests
Author(s) -
Naumova N.А
Publication year - 2013
Publication title -
international journal of mathematical research
Language(s) - English
Resource type - Journals
eISSN - 2311-7427
pISSN - 2306-2223
DOI - 10.18488/journal.24/2013.2.6/24.6.45.57
Subject(s) - erlang (programming language) , intersection (aeronautics) , computer science , mathematical optimization , node (physics) , function (biology) , realization (probability) , transport engineering , mathematics , engineering , theoretical computer science , functional programming , statistics , structural engineering , evolutionary biology , biology
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.