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Module Number:
| 12971
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| Module Title: | Operations Research for Environmental and Resource Management |
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Operations Research für Umwelt- und Ressourcenmanagement
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| Department: |
Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
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| Responsible Staff Member: | -
Prof. Dr. rer. nat. habil. Fügenschuh, Armin
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| Language of Teaching / Examination: | English |
| Duration: | 1 semester |
| Frequency of Offer: |
On special announcement
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| Credits: |
6
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| Learning Outcome: | Students get familiar with basic concepts of mathematical optimization (in particular, linear, nonlinear, and mixed-integer optimization) and graph theoretic concepts. They will gain the ability to formalize an applied optimization problem e.g. from the field of environmental sciences and resource management and solve them with mathematical means, and will know how use computer software (modeling languages and solvers) to formulate and solve optimization problems. |
| Contents: | Graphs, algorithmic problems on graphs (shortest path, spanning trees, Steiner trees, maximum flow, minimum cut, assignment, coloring, and others), Dantzig's simplex linear optimization method, non-linear optimization methods, integer optimization methods, multi-criteria (multi-objective) optimization, stochastic optimization, robust optimization, bilevel optimization, modeling languages to formulate optimization problems, analysis of case studies e.g. from the field of environmental sciences and resource management. |
| Recommended Prerequisites: | Knowledge of the contend of modules
- 11110 : Mathematics of Engineering I
- 11111 : Mathematics of Engineering II
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| Mandatory Prerequisites: | None |
| Forms of Teaching and Proportion: | -
Lecture
/ 3 Hours per Week per Semester
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Exercise
/ 1 Hours per Week per Semester
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Self organised studies
/ 120 Hours
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| Teaching Materials and Literature: | - S. Nickel, O. Stein: Operations Research, Springer Verlag, 2014.
- W. Domschke, A. Drexl: Einführung in Operations Research, 9. Aufl., Springer-Gabler Verlag, 2015.
- V. Chvatal: Linear Programming, W.H. Freeman & Co, 1983. (Englisch)
Further might be announced by the lecturer at the beginning of the course. |
| 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
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| Evaluation of Module Examination: | Performance Verification – graded |
| Limited Number of Participants: | None |
| Part of the Study Programme: | -
Bachelor (research-oriented) /
Environmental and Resource Management /
PO 2015
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Master (research-oriented) /
Environmental and Resource Management /
PO 2011
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Master (research-oriented) - Double Degree /
Environmental and Resource Management /
PO 2021
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Master (research-oriented) /
Environmental and Resource Management /
PO 2021
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Master (research-oriented) /
Physics /
PO 2021
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Abschluss im Ausland /
Wirtschaftsingenieurwesen /
keine PO
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| Remarks: | - Study programme Environmental and Resource Management B.Sc.: Compulsory elective module
- Study programme Environmental and Resource Management M.Sc.: Compulsory elective module
- Study programme Physics M. Sc.: Compulsory elective module in complex „Minor Subject“
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| Module Components: | - Lecture: Operations Research for Environmental and Resource Management
- Accompanying exercise
- Related examination
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| Components to be offered in the Current Semester: | |
