Queueing Theory
Code  Completion  Credits  Range  Language 

BE2M32THOA  Z,ZK  6  3P + 1L 
 Lecturer:
 Petr Hampl (guarantor)
 Tutor:
 Petr Hampl (guarantor)
 Supervisor:
 Department of Telecommunications Engineering
 Synopsis:

The aim of the course is to present an overview of dimensioning of telecommunication networks on the basis of results of the queuing theory (QT) and to introduce possibilities of simulation and modelling of networks, both from the point of view of grade of service (GoS) and quality of service (QoS). Results of the QT are applied on different service systems and telecommunication networks being currently operated and developed. Theoretical knowledge about models of service systems can be applied on dimensioning of different service systems in real life  not only on the telecommunications one.
 Requirements:

The student should be familiar with the basics of the theory of stochastic processes and probability methods used for their description in the scope of course „Probability and Statistics“.
 Syllabus of lectures:

1. Queueing theory in telecommunications. Types of service systems (SeSy), description and structure.
2. Mathematical model of SeSy, the assumptions of solution, derivation of probability state space. Kendall's notation of SeSy.
3. Flow of demands, characteristics, mathematical description. Poisson's flow, nature and character.
4. Parameters of SeSy. Traffic  lost and carried, blocking probability. Estimation of offered traffic.
5. Models M/G/N/0 specification. Generalized Erlang's model, application to packet networks.
6. Telecommunication network (TN) dimensioning. Overflow traffic  characteristics  SeSy dimensioning.
7. Models M/M/N/oo/FIFO (RANDOM, LIFO), parameters GoS.
8. Models M/M/N/R, specification, parameters GoS. Dimensioning.
9. Models G/M/N/, M/G/N/ and G/G/N/. Application.
10. Quality of service (QoS, GoS, NP). Dependability, availability and reliability of item / network.
11. Modeling of SeSy and TN. Matlab, SimEvents, OMNeT++.
12. Priority SeSy. Application in practice, models of queueing discipline and memory organisation (packet networks, PQ, CQ, LLQ, FQ, WFQ).
13. Service systems  models and methods of overload protections.
14. Traffic forecast methods, regression functions. Summary of the theory of loss and waiting SeSy for practical applications.
 Syllabus of tutorials:

1. Introduction to seminars. Input information on the project.
2. Lab.: Loss SeSy  dimensioning  models M/G/N/0.
3. Lab.: Application of G/M/N, M/G/N and G/G/N models in telecommunication networks.
4. Lab.: Dimensioning of nopriority SeSy with waiting, application of M/M/N/R model.
5. Lab.: Introduction to SimEvents simulator, simulation of M/M/N/R SeSy.
6. Lab.: Influence of queueing discipline (FIFO, WFQ, CQ, PQ) on QoS in a packet network.
7. Applications of generalized Erlang's model in dimensioning. Assignment of credits.
 Study Objective:

The aim of the course is to get acquainted with dimensioning of telecommunications networks on the basis of results of the queuing theory (QT). The acquired knowledge will be applied in an individual project focused on dimensioning of a data network.
 Study materials:

[1] Gross, D., Harris, C., M. Fundamentals of queuing theory. Third Edition. New York, London: J. Wiley and Sons, 1998. 439 p. ISBN 0471170836.
[2] Villy B. Iversen. Teletraffic Engineering and Network Planning. Geneva: ITC in cooperation with ITUD SG2, May 2010. ftp://ftp.dei.polimi.it/users/Flaminio.Borgonovo/Teoria/teletraffic_Iversen.pdf, 623 p.
[3] Cooper R.B. Introduction to queueing theory. North Holland, 2nd edition,1981. 347 p. ISBN13: 9780444003799 http://www.cse.fau.edu/~bob/publications/IntroToQueueingTheory_Cooper.pdf
[4] Amir Ranjbar. CCNP ONT Official Exam Certification Guide. Cisco Press; Har/Cdr edition, 2007. 408 p. ISBN10: 1587201763, ISBN13: 9781587201769.
 Note:
 Timetable for winter semester 2019/2020:

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 Fri Thu Fri  Timetable for summer semester 2019/2020:
 Timetable is not available yet
 The course is a part of the following study plans:

 Electronics and Communications  Communication Networks and Internet (compulsory course in the program)
 Electronics and Communications  Mobile Communications (compulsory elective course)