Module L: Operations research in telecommunications

Algorithm and numerical analysis (algorithm, time and space complexity). 

Graph theory (description, operations on graphs, basic graph algorithms, the properties of graphs). 

Introduction to operational research and optimization. Optimization task (formulation of solutions, cost function). Linear programming and integer programming (simplex method, examples from TC). Network analysis (maximum flow, minimum price, shortest path). Nonlinear optimization (gradient and Newton methods, optimization). Markov chains (classification of states, ergodicity). Time series and traffic models, queuing theory (primary analysis). Important applications in telecommunications. Optimal user interaction and the user-centric optimization. Measuring and modelling users, situation awarenes. 

Basics optimization methods and algorithms. Understanding the basic principles of optimization and its procedures with application in telecommunications. Getting to know the various options to optimize and streamline processes and procedures in telecommunications. Getting to know selected classes of optimization problems and their basic solutions. 

Getting to know measuring and modeling users. Getting to know user experiments.   

Lectures provide theoretical backgrounds and basic reasoning supported by illustrative examples. Tutorials adds more examples and focus on improvement of analytical skills of students. Both methods are supported by the

Jupyter Python system and selected software  optimization tools allowing hands-on learning and voluntary student’s work at home. It covers analyzable examples of optimization problems.