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Detailed information about the module

Module title:

Stochastic Models

Module title (english):

Stochastic Models

Module number:

88-021-MG02-H-0408

Level:

Master (UNI)

Course of study:

Type:

Modul

Organising faculty/Language Center:

Wirtschaftswissenschaftliche Fakultät

Instructors responsible:

Kuhn, Heinrich

Examiners:

Credit points (ECTS):

competencies/skills:

Students:
- learn to use and apply advanced methods of stochastic modeling and
- learn and understand to choose appropriate models and approaches, to apply them on production systems and for production-like systems in the service industry,
- develop the skills necessary to participate in scientific research in the field of operations management.

course content/topics:

Part 1: Fundamentals of Stochastic Modeling
1. Introduction, Applications, Modeling, Probability Theory
2. Random Distributions: Binomial, Geometric, Poisson, Weibull, Phase-Distributions
3. Discrete Markov-Chains
4. Markov-Chains in continuous time, Birth- and Death-Processes
Part 2: Queueing Theory
5. Little's Law, M/M/1-Model, M/M/c-Model
6. M/M/1/K-Model, M/M/1/K/K-Model, Mean-Value-Analysis: M/G/1-Model, G/G/1-Models
7. Open Queueing Systems: Jackson's Theorem, Systems with limited Buffers
8. Closed Queueing Systems: Mean-Value-Analysis (MVA), Convolution-Algorithms

formal requirements of admission:

recommended qualifications:

- Course contents of ABWL, Operations Management, and Management Science
- Knowledge of Basic Concepts in Statistics and Probability Theory

Lehr- und Lernformen/Lehrveranstaltungstypen:

- Presentation with slides
- homework

requirements for the attainment of ECTS points:

Written exam at the end of semester

workload/distribution of ECTS points within the module:

24 h = Time of attendance lecture
24 h = Preparation and postprocessing lecture
24 h = Time of attendance tutorial
48 h = Preparation and postprocessing tutorial
30 h = Exam preparation
150 h = Total workload

calculation of module marks:

Final exam 100%

teaching/learning method:

compatibility with other courses of study:

Turnus des Angebots:

Beteiligte Fachgebiete:

Bemerkung: