Mathematical Concepts Applied to Computer Networks.
Abstract:
The course provide the student with general probability concepts focused on
the mathematical analysis of computer networks.
Methodology:
There will be 5 hours per week, dedicated to magistral classes to explain the theory and solve
problems. The students activities will consist of reading material and solving practical problems
that will be proposed at each theoretical unit. The problems will be collected and corrected during
the course.
Evaluation:
The evaluation will be based on the correction of the problems proposed to the students during the
course and a final exam.
Teachers
| Name
| Office
| email
| Tel.
|
| Enric Monte-Moreno
| D5-109
| enric gps.tsc.upc.edu
| 93.401.64.35
|
Llorenç Cerdà-Alabern
| C6-213
| llorencac.upc.es
| 93.401.67.98
|
Contents
- Introduction to probability (Enric Monte)
- Combinatory
- Mathematical model of probability
- Inclussion-exclussion formula
- Continous models
- Conditioned probability and expectation
- Probability distributions
- Repeated trials
- Autosimilar distributions
- Information theory
- Stochastic processes (Llorenç Cerdà)
- Markov Chains
- Queueuing Theory
References
Links
GNU numerical tools:
Books
-
An Introduction to Probability Theory and Its
Applications. Volume I, 3rd Edition.
William Feller. Wiley, 1971.
-
Probability, Random Variables and Stochastic Processes
Athanasios Papoulis. McGraw-Hill, 2001.
-
Understanding Probability : Chance Rules in Everyday Life
Henk
Tijms. Cambridge University Press, 2004.
-
Calculo de probabilidades 1
Ricado Vélez, Víctor Hernández. UNED, 1995.
-
Finite Markov Chains
John G Kemeny, J Laurie Snell. Springer, 1960.
-
Probability, Stochastic Processes and Queuing Theory.
R. Nelson. Spinger, 1995.