Dr. Veniamin N. Tarasov Profile

Dr. Veniamin N. Tarasov

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Proceedings Article | 26 March 2016 Paper

Mathematical multiplexing and demultiplexing of flows in optical links

Nadezhda Bahareva, Veniamin Tarasov

Proceedings Volume 9807, 980703 (2016) https://doi.org/10.1117/12.2231066

KEYWORDS: Statistical multiplexing, Multiplexing, Mathematical modeling, Networks, Multiplexers, Information science, Control systems, Telecommunications, Optical networks, Prisms

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The article highlights the problem of constructing mathematical models of operation of multiplexing and demultiplexing event flows. Hereby, these flows could be described at the level of the first two or three moments of interarrival distribution. Two kinds of distribution law are used for multiplexing: exponential distribution in the zero shift to the right and hyperexponential distribution of the second order. The first type of distribution gives the coefficient of variation that is less than unit, and the second type − that is larger. Thus, using these two distribution laws, it is possible to extend the range of the coefficient of variation from zero to infinity (0, ∞). Together operation of multiplexing and demultiplexing allow creating mathematical tool for traffic modeling in optical networks, the tool in the form of equilibrium formulas for flows in network models. The formulas of flows’ equilibrium allow to decompose the network models on separate nodes and to determine their characteristics and further the network capabilities. This approach can be applied to network model swith excess flows as well as the to the network models with heterogeneous flows.

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