13220 - Modeling in Mixed-Integer Optimization Modulübersicht

Module Number: 13220
Module Title:Modeling in Mixed-Integer Optimization
  Gemischt-ganzzahlige Modellbildung
Department: Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
Responsible Staff Member:
  • Prof. Dr. rer. nat. habil. Fügenschuh, Armin
Language of Teaching / Examination:English
Duration:1 semester
Frequency of Offer: On special announcement
Credits: 8
Learning Outcome:After successful completion of the module, students will be able to recognise and evaluate the application possibilities of modeling languages for the formulation of optimization problems. They can formulate models within a modeling language and select suitable numerical solvers for their solution. They are able to interpret the solution in the application context.
Contents:
  • Modeling in mixed-integer optimization.
  • Modeling alternatives.
  • Basics of modeling languages.
  • Detailed presentation of individual languages, such as AMPL, GAMS and AIMMS for the formulation of mathematical optimization tasks.
Recommended Prerequisites:Knowledge in linear and mixed-integer optimization, e.g. knowledge of the content of
  • module 11312 : Optimization I
or
  • module 11322 : Optimization Methods in Operations Research
Mandatory Prerequisites:No successful participation in German speaking module 12701 - Gemischt-ganzzahlige Modellbildung.
Forms of Teaching and Proportion:
  • Lecture / 3 Hours per Week per Semester
  • Exercise / 2 Hours per Week per Semester
  • Self organised studies / 165 Hours
Teaching Materials and Literature:Corresponding to the respective focus, literature will be announced at the beginning of the semester.
Module Examination:Continuous Assessment (MCA)
Assessment Mode for Module Examination:
  • 4 written examinations, 30 minutes each, of which the best 3 contribute to the final module grade with a weighting of 1/3 each.
Evaluation of Module Examination:Performance Verification – graded
Limited Number of Participants:None
Part of the Study Programme:
  • Master (research-oriented) / Angewandte Mathematik / PO 2019
  • Master (research-oriented) / Artificial Intelligence / PO 2022
  • Bachelor (research-oriented) / Mathematik / PO 2023
  • Bachelor (research-oriented) - Co-Op Programme with Practical Placement / Mathematik - dual / PO 2023
  • Bachelor (research-oriented) / Wirtschaftsmathematik / PO 2023
  • Bachelor (research-oriented) - Co-Op Programme with Practical Placement / Wirtschaftsmathematik - dual / PO 2023
Remarks:
  • Study programme Applied Mathematics M.Sc.: Compulsory elective module in complex „Optimization“
  • Study programme Mathematics B.Sc.: Compulsory elective module in complex „Specialisation“, in limited extend 
  • Study programme Economathematics B.Sc.: Compulsory elective module in complex „Specialisation“, in limited extend
  • Study programme Artificial Intelligence M.Sc.: Compulsory elective module in complex „Advanded Methods“
For the different modeling languages software packages are installed on students' laptops. Required operating systems: MacOS / Linux and Windows (for the language AIMMS).

If there is no need that the module 12701  „Gemischt-ganzzahlige Modellbildung“ is taught in German, alternatively this English version 13220 may be offered instead.
Module Components:
  • Lecture with integrated exercises:  Gemischt-ganzzahlige Modellbildung
  • Related examination
Components to be offered in the Current Semester:
  • no assignment