This lecture introduces students to the basic mathematical methods of modeling and performance analysis of communication system and networks. The course is primarily intended for master students who have basic knowledge of statistics or stochastic processes, but is also open to other students.
Starting from the basic statistics results, the mathematical generalization of sequences for stochastic processes will be derived and applied to the Markov processes. Due to its practical relevance and importance for modeling and evaluating the performance of communication systems, the Markovian loss and queueing systems will be covered. On this basis we will analyze modern communication systems where its ressources will be allocate from heterogenous services. One important step for the practice includes the concluding extension of the theoretical background to not-Markovian waiting systems.
The lecture supplies a basic understanding about the modeling of stochastic processes in communication systems to the students, so that they are able to model, evaluate and compare systems with the help of the introduced statistical values of the processes.