Queuing Theory

The course is a substitute for:

Queuing Theory (32THO)

Lecturer:

Tutor:

Supervisor:

Department of Telecommunications Engineering

Synopsis:

Queuing theory is able to calculate in advance number of service

links for service with given grade of service GOS. Applications of queuing theory are in telecommunications, computer networks, banks, business, health service and so on - strictly speaking where the service of customers exist.

Besides utilization for dimensioning queuing theory enables determination of the grade of service GOS of a service system which is necessary part of evaluation of a quality of service - QOS.

Requirements:

For successful study of the course are necessary basic knowledge of the theory probability and stochastic processes.

Syllabus of lectures:

1. Service system (SS), description and classification of SSs

2. Sources, input flow - basic characteristics and terminology, math. description

3. Service processes, output flow. Relations between processes

4. Kendall´s classification. Probabilistic characteristics SS

5. Mathematical models SS, stationary state probabilities of Markovian SS

6. Loss SS - M/M/N - probabilistic characteristics. Applications

7. Loss SS - M(s)/M/N - probabilistic characteristics. Applications

8. Waiting SS - M/M/N/C - probabilistic characteristics

9. Waiting SS with loss - M/M/N/C/FIFO, RANDOM and LIFO. Applications

10. Basic characteristics SS - G/G/N/C, influence of queuing discipline

11. SS with priorities, some specific results

12. Nonmarkovian SS - basic problems, SS - M/D/N,M/Ek/N,M/G/N

13. Simulation of SS - Monte Carlo methods

Syllabus of tutorials:

The course has no seminars and laboratories.

Study Objective:

The goal is to give adequate overlook about fundamentals of queuing theory and its applications for dimensioning service systems - telecommunications equipment.

Study materials:

Gross, D., Harris, C., M. Fundamentals of queuing theory. Third Edition. New York, London: J. Wiley and Sons, 1998.

http://www.itu.int/ITU-D/study_groups/SGP_1998-2002/SG2/StudyQuestions/Question_16/RapporteursGroupDocs/teletraffic.pdf Teletraffic Engineering Handbook. Geneva: ITC in cooperation with ITU-D, SG2 Question 16/2, December 2002. 323 s.

http://oldwww.com.dtu.dk/education/34340/telenook.pdf

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Telecommunications and Radio-engineering - Multimedia, Sound and Television Technology- structured s (compulsory elective course)