Overordnede kursusmål
To practice the application of mathematical methods and models
based on probability theory for performance evaluation of
telecommunication and data communication systems and networks. This
includes both switching systems and networks, as well as computer
systems and data networks. This course focus on the modelling a
queuing system mathematically and statistically, modelling the
random evolution of queue lengths over time and calculating key
performance indicators, such as an average delay or a loss
probability.
Læringsmål
En studerende, der fuldt ud har opfyldt kursets mål, vil kunne:
- Characterize traffic (arrival processes and service processes)
by relevant parameters
- Describe the basics of discrete time and continuous time Markov
chains
- Model simple queuing systems, e.g. M/M/1 or M/M/C/C queues
- Apply state transition diagrams for modelling
- Compute key performance indicators, such as an average delay, a
resource utilization rate, or a loss probability
- Optimize loss systems and evaluate relevant performance
parameters
- Optimize queueing systems and evaluate relevant performance
parameters
- Design queuing simulations with the Python language
Kursusindhold
This course introduce the fundamental mathematical tools that are
necessary to characterize the queueing systems, and to understand
the stochastic elements of the traffic process. Introduction of the
modelling process and basic traffic concepts.
The course will start with loss systems and then delay system. The
Markov chain in discrete time and continue time will be studied and
compute its average performance metrics.
The course will include exercises for each lecture to assist your
understanding of main concepts. Pratical coursework will be carried
out using Python programming language. Equipped with these tools
the average performance values like blocking probability or waiting
delay can be calculated.
Bemærkninger
In continuation of the course is given an advanced course in the
autumn semester. Textbook: V B Iversen: Teletraffic Engineering,
DTU Fotonik 2011, 380 pp and additional texts on network planning.
Sidst opdateret
05. maj, 2020
