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TH Köln

Master Digital Sciences

Documents for Study Program Accreditation

Module »Operations Research« (OR)

Organizational Details

Responsible for the module
Prof. Dr. Boris Naujoks (Faculty F10)
Language
English
Offered in
Winter Semester (Duration 1 Semester)
Location
Campus Gummersbach, or remote
Number of participants
minimum 5, maximum 25
Precondition
none
Recommendation
none
ECTS
6
Effort
Total effort 180h
Total contact time
60h (30h lecture / 30h seminar)
Time for self-learning
120h
Exam
Project (during semester) in conjunction with expert talk
Competences taught by the module
Model Systems, Optimize Systems
General criteria covered by the module
Digitization

Mapping to Focus Areas

Below, you find the module's mapping to the study program's focus areas. This is done as a contribution to all relevant focus areas (in ECTS, and content-wise). This is also relevant for setting the module in relation to other modules, and tells to what extent the module might be part of other study programs.

Focus Area ECTS (prop.) Module Contribution to Focus Area
Generating and Accessing Knowledge 4

Students learn modelling and optimisation methods that are typically used for solving managerial planning and decision problems. They will be able to assess the applicability, usefulness and limitations of these methods and develop alternative strategies.
Empowering Business 1

Knowledge of such methods is useful in solving managerial planning and decision problems.
Designing Innovations and Products 1

Modelling and optimisation techniques are also used in the automation and the design of processes and new products.

Learning Outcome

  1. Students learn modelling and optimisation methods by being introduced to them in the lectures and applying these in practical examples. Such techniques are typically used for solving managerial planning, product, and process desing as well as decision analysis and decision making.
  2. Students will be able to assess the applicability, usefulness and limitations of these methods and develop alternative strategies by discussiong these in detail and resoning about improvements.

Module Content

  1. Basic understanding of optimisation problems and how to model these
  2. Linear optimisation problems and solving these with the Simplex Algorithm
  3. Duality and sensitivity analysis
  4. Discrete optimisation problems, typical instances like knapsack as well as TSP, and solving these with the Branch & Bound method
  5. Heuristic and meta-heuristic solutions methods and their application
  6. Multi-criteria decision analysis and making

Forms of Teaching and Learning

  • Lectures with integrated exercises
  • Student reports and presentations

Learning Material Provided by Lecturer

  • Notes and slides from lectures

Literature

  • K. Neumann and M. Morlock: Operation Research Carl Hanser Verlag, 1993
  • P. A. Jensen and J. F. Bard: Operation Research – Models and Methods, John Wiley & Sons, 2003
  • F. S. Hillier and G. J. Liebermann: Operations Research, McGraw-Hill, 1994