Optimization and Operations Research 20

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Applied Informatics

Synopsis:

The course may either continue the course

Optimization and Operations Research 10 or may be studied

separately. Important deterministic and stochastic models are

introduced ranging from Multicriterial Decision Making to

Queuing Theory. Applications will be shown as appropriate in

seminars.

Requirements:

no prerequisities

Syllabus of lectures:

1. Stochastic Models. Types of Stochastic Processes. Markov Process.

2. Commonly Used Distributions and their Applications.

3. Introduction to Queuing Theory.

4. Basic Elements of Queuing Systems.

5. Analysis of simple Queuing Systems.

6. Queuing Networks.

7. Introduction to Simulation.

8. Random Variable Generation.

9. Discrete Simulation Models and Monte Carlo Method.

10. Multicriterial Decision Making.

11. Inventory Control (Deterministic and Stochastic).

12. Regression and Correlation Analysis.

13. Cluster Analysis.

Syllabus of tutorials:

1. Stochastic Models. Types of Stochastic Processes. Markov Process.

2. Applications of Commonly Used Distributions .

3. Introduction to Queuing Theory.

4. Basic Elements of Queuing Systems.

5. Analysis of simple Queuing Systems.

6. Queuing Networks.

7. Introduction to Simulation.

8. Random Variable Generation.

9. Simple simulation models. Discrete Simulation Models and Monte Carlo Method.

10. Formulation of Multicriterial Decision Problems

11. Inventory Control (Deterministic and Stochastic).

12. Regression and Correlation Analysis.

13. Cluster Analysis.

Study Objective:

he goal of the study is to introduce the standard optimization models and the approaches in model buildingto to students. The emphasis is on the application of these models in practice.

Study materials:

Recommended literature:

1. Hillier, F.S., Lieberman, G.J.: Introduction to Operations Research. McGraw-Hill 2015

2. Taha, A.H.: Operations Research - An Introduction. Prentice Hall 2011

3. Parnell, G.S., Bresnick, T.A., Tani, S.N., Johnson, E.R.: Handbook of Decision Analysis. Wiley 2013

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: