Modeling Seminar for Engineers

Network science 

Introducing mathematical models for real-world networks, important structural characteristics, measures and the effect of these parameters on performance and resilience 

Classical models and networks (e.g.: small-world, Erdős-Rényi, Barabási-Albert, hyperbolic), their properties and applicability 

Statistical multiplexing and bandwidth estimation 

Classical queuing theory systems: incoming packets (from aggregated traffic flows), buffering, modelling servers for modern VoIP codecs 

Using network calculus to simplify the previous involved queuing theory models, modelling and analyse the aggregate speed of on-off flows  

Efficient bandwidth utilization with network coding 

Bandwidth allocation for networks with algebraic operations, efficient multicast bandwidth utilization, introduction to robust routing and other classical examples 

Demonstrating the description power of different mathematical models for network coding, message coding and decoding over finite fields 

Virtual network design 

Practical implementations of virtual networks over physical infrastructures (cloud computing, resource allocation, virtual SDN topology embedding, etc.) 

Efficient resource allocation for virtual networks, intelligent virtual node and link embedding to physical resources, robust path design solutions 

IP forwarding and compressed data structures 

Introduction to IP addressing, IP forwarding, scalability issues and the possible engineering solutions for them 

Prefix-tree compression, information-theoretic bounds, efficient lookup on compressed data structures