| Area of Mathematics: | Statistics-Probability-Operational Research (ESPOR) | ||
| Semester: | 6ο | ||
| Course ID: | 62303 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | For the course’s material, click here. | ||
| Instructors: | Vassilios Dimitriou | ||
Description
- Introduction to stochastic methods in Operational Research: Overview of the tools from Probability (Conditional mean, Probability Generators, Laplace-Stieltjes Transformation). Exponential distribution.
- Poisson process. Times of events in Poisson process.
- Renewal Theory: definition of the renewal process and basic computations.
- The renewal function – Renewal theorem. The renewal equation, its solution and the basic renewal theorem. Forward and backward recurrence times.
- General renewal process. Renewal processes with costs, rewards. Renewal properties.
- Introduction to queueing theory. Basic results in queuing systems. Overview of continuous-time Markov chains. Simple Markov queues.
Bibliography
- Taha A. H., Operations Research: An Introduction, Pearson, 10th ed., 2017
- Hillier F. S., Lieberman G. J., Introduction to Operations Research, MacGraw-Hill, 8th ed., 2004
