| Area of Mathematics: | Statistics-Probability-Operational Research (ESPOR) | ||
| Semester: | 8ο | ||
| Course ID: | 82304 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | |||
| Instructors: | |||
Description
Introduction to queueing theory: basic characteristics of queues, performance measures, queue length process. Simple Markovian queueing systems, stationary distribution, M/M/1 queues, equilibrium distribution. Probability generators and Markovian queueing systems: M/M/k queue with heterogeneous servers, E2/E2/1/1 queue, M/Es/1 queue, Er/M/1 queue, M/E2/2/2 queue. Markovian queueing networks, Probabilistic analysis of M/M/1 queue, Jackson networks, stationary distribution of Jackson networks. Markovian service systems, systems with variable number of servers.
Bibliography
- Kleinrock L., Queueing Systems, Volume I: Theory, Wiley, 1975
- Shortle J.F., Thompson J.M., Gross D., Harris C.M., Fundamentals of Queueing Theory, 5th ed., 2018
