Queueing Theory I.

Traffic characterization and modeling

                Traffic descriptors

                Applications of stochastic processes in modeling

                Study guides for traffic analysis of measured Internet traffic      

Fractal traffic theory

                Self-similarity and long-range dependence

                Heavy-tailed distributions in the Internet

                Fractal traffic models

Traffic management and congestion control

                Traffic management methods

Open-loop and closed-loop control

                TCP performance models

Statistical inequalities, large deviations and their applications to data science

examples in traffic engineering, risk management and insurance

resource estimation based on analyzing rare events

distribution-free estimations of event frequencies

computational models for large systems

Large and complex networks

structural similarities and differences of large complex networks (Internet, airport networks, road network, brain networks, word networks, metabolic networks)

small-world properties, degree distributions and clustering

routing and navigability in large networks

modularity, rich club phenomenon and controllability

Case studies, examples, analytical and numerical investigations to be performed by Wolfram Mathematica