Course SMTS: Stochastic Models for Telecommunication Systems

Course description:
The course consists of two synergistic parts.
Part I: stochastic models for telecommunication systems at the packet/burst level.
Part II: stochastic models for telecommunication systems at the call/flow level.
Part I:
At the packet/burst level performance aspects of telecommunication networks can be modeled well by using fluid systems - think of packet delays and loss in the buffers of an IP (Internet protocol) based network. Part I of the course treats these fluid models, focusing on single-node queues. The most prominent subjects are: (1) the M/D/1 queue; (2) the /D/1 queue fed by periodic sources; (3) the Anick-Mitra-Sondhi model; (4) general Markov-fluid driven queues; (5) exponential decay of the overflow probability; (6) effective bandwidth; (7) reduction of fluid models to the call level, to enable the application of the results of Part II.
Part II:
Call/flow-level models are used for the dimensioning of telecommunication networks, and for determining the blocking probabilities in ATM networks, throughputs in the Internet, and download times in a wireless access network (WLAN, UMTS, etc.). In part II the following subjects are treated: 
(1) traffic modelling at the call level, and traffic measurements in operational networks
(2) performance models for streaming traffic (speech, video), such as the Erlang and Engset models, multi-rate models, call admission policies like trunk reservation, loss networks, etc.
(3) performance models for elastic traffic (data), such as the processor-sharing queue
(4) Performance models for TCP  (TCP is the transport protocol underlying the Internet), WLAN and UMTS
(5) models for integration of streaming and elastic traffic
(6) "Quality-of-Service aware" dimensioning of data networks.