Queuing Theory

Garant předmětu:

Lecturer:

Tutor:

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

No time-table has been prepared for this course

The course is a part of the following study plans:

• ME nav.komb.11/12 (compulsory course)
• ID nav.prez.11/12 (compulsory course)
• ME nav.prez.11/12 (compulsory course)
• PL nav.prez.11/12 (compulsory course)
• DS nav.prez.12/13 (compulsory course)
• BD nav.prez.12/13 (compulsory course)
• ID nav.prez.12/13 (compulsory course)
• LO nav.prez.12/13 (compulsory course)
• LO nav.komb.12/13 (compulsory course)
• PL nav.prez.12/13 (compulsory course)
• DS nav.prez.13/14 (compulsory course)
• BD nav.prez.13/14 (compulsory course)
• ID nav.prez.13/14 (compulsory course)
• LO nav.prez.13/14 (compulsory course)
• PL nav.prez.13/14 (compulsory course)
• LO nav.komb.13/14 (compulsory course)
• DS nav.prez.14/15 (compulsory course)
• BD nav.prez.14/15 (compulsory course)
• LO nav.prez.14/15 (compulsory course)
• LO nav.komb.14/15 (compulsory course)
• DS nav.prez.15/16 (compulsory course)
• LA nav.prez.15/16 (compulsory course)
• DS nav.prez.16/17 (compulsory course)
• LA nav.prez.16/17 (compulsory course)
• DS nav.prez.17/18 (compulsory course)
• LA nav.prez.17/18 (compulsory course)
• DS nav.prez.18/19 (compulsory course)
• LA nav.prez.18/19 (compulsory course)
• DS nav.prez.19/20 (pro obor DS) (compulsory course)
• LA nav.prez.19/20 (pro obor LA) (compulsory course)
• navaz. mag. PRE program LA 20/21 (nová akreditace) (compulsory course)
• navaz. mag. PRE program LA 21/22 (nová akreditace) (compulsory course)
• navaz. mag. PRE program LA 22/23 (nová akreditace) (compulsory course)
• navaz. mag. PRE program LA 23/24 (compulsory course)