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Modelling and Optimisation of Flows Distribution in the Network

DOI: 10.5923/j.am.20120205.04

Keywords: Mathematical Model, Network Flows, Transportation Network, Mean Delay, Optimisation

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Abstract:

The problem of developing a model of network operation allowing us to objectively estimate the parameters of the network flows distribution is very relevant nowadays. A mathematical model of a multichannel communications network operation is developed based on the Erlang time distribution for each flow. Using the methods of relativity theory and random processes theory, a mathematical tool is worked out to calculate the quality parameters of the network operation organisation for the nodes such as mean value of delay-in-queue, mean number of requests on queue. Different variants are considered in order to satisfy specific types of node operation. The criterion of network operation optimisation is suggested.

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