Queuing Theory

Course guarantor:

Šárka Voráčová

Lecturer:

Šárka Voráčová

Tutor:

Šárka Voráčová

Supervisor:

Department of Applied Mathematics

Synopsis:

Discrete event process, definition, random distribution, and probability. Basic processes, process of revitalisation. Markov process, Markov models, Kendall classification, model M/M/1, models M/M/n. Non-markovian models, model M/C/n, models G/G/n. Models with continuous flow. Service net, examples of Petri net. Computer simulation.

Requirements:

Linear algebra, graph theory, PT Petri net, fundamentals of mathematical statistics, MATLAB

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Basic principles of stochastic processes, simulation techniques and elementary analytical methods for investigation of queueing systems.

Study materials:

Bacceli F., Brémaud P.: Elements of Queuing Theory, Springer Verlag, Applications of Mathematics 26, 1994,

Kleinrock L.: Queuing Systems. orig. John Wiley and Sons, ruský překlad Moskva, 1979

Note:

Further information:

https://www.fd.cvut.cz/department/k611/PEDAGOG/K611THO.html

Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue	roomHO:B-116 Voráčová Š. 15:00–16:30 (lecture parallel166) Horská 3 (nová budova)
Wed
Thu
Fri	roomHO:A-324 Voráčová Š. 09:45–11:15 (lecture parallel191) Horská 3 (stará budova) roomHO:A-324 Voráčová Š. 11:30–13:00 (lecture parallel191) Horská 3 (stará budova)

The course is a part of the following study plans:

• Master Full-Time IS (joint degree) from 2023/24 (compulsory course)
• Master Full-Time LA from 2024/25 (compulsory course)
• Master Part-Time LA from 2024/25 (compulsory course)
• Master Part-Time LA from 2024/25 (compulsory course)
• Master Full-Time LA from 2024/25 (compulsory course)