Queuing Theory

The course is a substitute for:

Queuing Theory (E32THO)
Queuing Theory (X32THO)

Lecturer:

Tutor:

Supervisor:

Department of Telecommunications Engineering

Synopsis:

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

The basic knowledge of the probability theory, stochastic processes an statistic are supposed.

Syllabus of lectures:

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

1. History and development of the queuing theory. Practical utilization

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

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

4. Service processes, output flow. Relations between processes

5. Kendall´s classification. Probabilistic characteristics SS

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

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

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

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

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

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

12. SS with priorities, some specific results

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

14. Simulation of SS - Monte Carlo methods

Syllabus of tutorials:

The course has no seminars and laboratories.

Study Objective:

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

Study materials:

1. Riordan, R.: Stochastic Service Systems. New York: John Wiley and Sons, 1962.

2. Gross, D., Harris, C., M.: Fundamentals of queuing theory. London: J. Wiley and Sons, 1974.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: