Queueing Theory II.

A tantárgy neve magyarul / Name of the subject in Hungarian: Tömegkiszolgálás II.

Last updated: 2017. május 29.

Budapest University of Technology and Economics
Faculty of Electrical Engineering and Informatics
PhD course
Course ID Semester Assessment Credit Tantárgyfélév
VIHID060   4/0/0/v 5 2/2
3. Course coordinator and department Dr. Telek Miklós,
4. Instructors

Dr. Miklós TELEK, professor

Dr. Gábor HORVÁTH, associate professor

7. Objectives, learning outcomes and obtained knowledge Summary of queueing theory methods for application in research problems.
8. Synopsis Discrete and continuous time Markov chains and their analysis based on short term behaviour and Markov renewal theory.
Renewal and Markov renewal processes
Discrete and continuous time Phase type (PH) distributions, Markov arrival processes (MAP).
Quasy birth-death processes, matrix geometric distribution.
Advances queueing systems (PH, MAP, Batch MAP arrival and service processes) and their analysis (with matrix analytic methods)
Numerical methods for computing matrix geormetric distributions.

9. Method of instruction Lecture
10. Assessment exam (oral and/or written)
13. References, textbooks and resources lecture notes: http://webspn.hit.bme.hu/~telek/notes/pres.pdf
Kleinrock: Queueing systems I-II.
Latouche, Ramaswami: Introduction to Matrix Analytic Methods in Stochastic Modeling
Marcel F. Neuts: Structured stochastic matrices of M/G/1 type and their applications
Marcel F. Neuts: Matrix-Geometric Solutions in Stochastic Models, An Algorithmic Approach
Lakatos, Szeidl, Telek: Introduction to Queueing Systems with Telecommunication Applications

14. Required learning hours and assignment
Kontakt óra60
Félévközi készülés órákra30
Felkészülés zárthelyire 
Házi feladat elkészítése 
Kijelölt írásos tananyag elsajátítása 
Vizsgafelkészülés60
Összesen150
15. Syllabus prepared by Dr. Miklós TELEK, professor