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Analysis of Communication Networks

2024HT

Status Open for interest registrations
School IDA-gemensam (IDA)
Division ADIT
Owner Nikolaos Pappas
Homepage TBD

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Course plan

No of lectures

It is expected to have 9 lectures.

Recommended for

Advanced master students and PhD students.

The course was last given

2023HT

Goals

The students will learn mathematical methods for the efficient design of communication networks, using control, optimization, and stochastic network theories.

Prerequisites

A basic background on probability theory and stochastic processes.

Organization

The first part will cover the fundamentals and the second part will cover more advanced topics.

Content

Optimization formulation of network resource allocation, convergence analysis of primal and dual algorithms, Delay equations and applications to the study of congestion control algorithm; Interpretation of network architecture and algorithms in terms of optimization solution; Game-theoretic interpretation of optimization formulation and solution.

Mathematical tools: Markov chains and discrete-time queueing theory;
Statistical multiplexing and large deviations.

Scheduling algorithms for switches and wireless networks: Maxweight scheduling, complexity, and distributed randomized algorithms, statistical physics techniques.

Other topics as time permits and there is interest: Modeling P2P networks, Cloud Computing, etc.

Literature

R. Srikant and L. Ying, Communication Networks: An Optimization, Control and Stochastic Networks Perspective, Cambridge University Press, 2014.

Lectures

One lecture is expected for each item from the content above.
We will have a final day with the presentations of the projects, or the exam.

Examination

A project-based examination where each student can analyze and implement a topic relevant to this book. A presentation is expected along with a written report. There is also a possibility for a written exam or oral examination on the white board. This depends on the amount of students and their preference.

Examiner

Nikolaos Pappas

Credits

6 ECTS

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