Livinska H. Multi-channel networks with variable rate of input flow in heavy traffic

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0414U004062

Applicant for

Specialization

  • 01.05.04 - Системний аналіз і теорія оптимальних рішень

22-09-2014

Specialized Academic Board

Д26.001.35

Essay

The thesis is devoted to the perspective direction of the theory of stochastic networks associated with the study of multidimensional service processes in the Markov and non-Markov multi-channel networks with variable rate of input flow by asymptotic methods. Markov multi-channel networks are considered with a condition that the rate of the external load varies with time. For multi-channel networks an approximative Gaussian processes with the correlation characteristics written out in an explicit form via the model parameters are constructed. Convergence of the service processes in the uniform topology is proved.

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