Subject description - A2M32MDS

Summary of Study | Summary of Branches | All Subject Groups | All Subjects | List of Roles | Explanatory Notes               Instructions
A2M32MDS Modeling and Dimensioning of Networks Extent of teaching:3+1l
Guarantors:  Roles:PO,V Language of
Teachers:  Completion:Z,ZK
Responsible Department:13132 Credits:6 Semester:Z


The aim of the course is to present an overlook of dimensioning of telecommunications net-works on the basis of results of the queuing theory (QT). Introduce possibilities of simulation and modeling networks both from the point of view of grade of service GoS and quality of service QoS as well. Results of the QT are applied on different service systems and telecommunication networks deploying and operating at time being. Theoretical knowledge about models of service systems can be utilized for dimensioning of different service systems in real life - not only on the telecommunications one.

Study targets:

The aim of the course is to present an overlook of dimensioning of telecommunications net-works on the basis of results of the queuing theory (QT). Acquired knowledge applied in individual project dimensioning of data network.

Course outlines:

1. Modeling of telecommunication networks (TN), queueing theory. Types of service systems (SeSy).
2. Mathematical model of service system, Kendall's notation.
3. Flow of demands, characteristics, mathematical specification. Poisson's flow, nature and character.
5. Parameters of service system.
5. Models M/G/N/0 specification, parameters GoS. Dimensioning.
6. Telecommunication network dimensioning. Overflow traffic - characteristics - dimensioning of SS.
7. Models M/M/N/inf./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 in UMTS networks.
10. Quality of service (QoS, GoS, NP). Dependability, availability and reliability of item and network.
11. Modeling of SS and TN. Matlab, SimEvents.
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.

Exercises outline:

1. 6. 10. Introduction to seminars. Network topology optimisation. Input information on project.
2. 13. 10. Free time.
3. 20. 10. Free time.
4. 27. 10. Free time.
5. 3. 11. Free time.
6. 10. 11. Lab: Loss SS - dimensioning - models M/G/N/0.
7. 17. 11. Free time.
8. 24. 11. Lab.: Application of G/M/N, M/G/N and G/G/N models in TN networks.
9. 1. 12. Free time.
10. 8. 12. Lab.: Dimensioning nonpriority SS with waiting, application of M/M/N/R model using MATLAB.
11. 15. 12. Lab.: Introduction to SimEvents simulator. Simulation of M/M/N/R SS.
12. 22. 12. Free time.
13. 5. 1. Lab.: Influence of QD (FIFO, WFQ, CQ, PQ) on QoS in packet network.
14. 12. 1. Applications of generalized Erlang's model for dimensioning. Summary of seminars. Assessment.


[1] Křížovský, F., Kříž, P. Šťastný, M, Vaněk, N. Provozní zatížení v telekomunikacích - ne-publikováno. Kapitoly 1 - 5.
[2] Gross, D., Harris, C., M. Fundamentals of queuing theory. Third Edition. New York, Lon-don: J. Wiley and Sons, 1998. 439 p. ISBN 0-471-17083-6
[3] Villy B. Iversen. Teletraffic Engineering and Network Planning. Geneva: ITC in cooperati-on with ITU-D SG2, May 2010., 623 p.
[4] Amir Ranjbar. CCNP ONT Official Exam Certification Guide. Cisco Press; Har/Cdr editi-on, 2007. 408 p. ISBN-10: 1587201763, ISBN-13: 978-1587201769


The Examination: -has two parts - written and oral, -the written part consists of ten randomly selected questions for each student, - the oral part is focused on the discussion about the written preparation (if the written answer is not intelligible), - to pass the exam, it is necessary to successfully answer at least five questions out of ten (classification E). Award grade requirements: Hand in and defending errorless project and the numerical results of examples.



Service syste, service, service line, telecommunication network, dimensioning, parameters, models,control, priority, otimization, dependability, reliability performance , availability, forecast, regression functions.

Subject is included into these academic programs:

Program Branch Role Recommended semester
MPIB Common courses V
MPEEM1 Technological Systems V 2
MPEEM5 Economy and Management of Electrical Engineering V 2
MPEEM4 Economy and Management of Power Engineering V 2
MPEEM3 Electrical Power Engineering V 2
MPEEM2 Electrical Machines, Apparatus and Drives V 2
MPKYR4 Aerospace Systems V 2
MPKME4 Networks of Electronic Communication PO 2
MPKYR1 Robotics V 2
MPKYR3 Systems and Control V 2
MPKYR2 Sensors and Instrumentation V 2

Page updated 17.6.2019 14:52:47, semester: Z,L/2020-1, L/2018-9, Z,L/2019-20, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)