Description:

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.

Contents:

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.

Seminar contents:

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.

Recommended literature:

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

Keywords:

Queuing Theory, Simulation, Multicriterial Decision Making, Inventory Control

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar