Universität Wien FIND

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040894 KU LP Modeling I (MA) (2020S)

4.00 ECTS (2.00 SWS), SPL 4 - Wirtschaftswissenschaften
Continuous assessment of course work

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first serve).

Details

max. 35 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

The midterm exam is shifted to May 6th, and the final exam to May 20th. The exams will take place online via Moodle.

Please see Moodle for more detailed information on the changes to the course due to the corona virus.

Thursday 05.03. 09:45 - 13:00 PC-Seminarraum 5 Oskar-Morgenstern-Platz 1 1.Untergeschoß
Thursday 19.03. 09:45 - 13:00 PC-Seminarraum 5 Oskar-Morgenstern-Platz 1 1.Untergeschoß
Thursday 26.03. 09:45 - 13:00 PC-Seminarraum 5 Oskar-Morgenstern-Platz 1 1.Untergeschoß
Wednesday 01.04. 09:45 - 11:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 02.04. 09:45 - 13:00 PC-Seminarraum 5 Oskar-Morgenstern-Platz 1 1.Untergeschoß
Thursday 23.04. 09:45 - 13:00 PC-Seminarraum 5 Oskar-Morgenstern-Platz 1 1.Untergeschoß
Wednesday 29.04. 09:45 - 11:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 30.04. 09:45 - 13:00 PC-Seminarraum 5 Oskar-Morgenstern-Platz 1 1.Untergeschoß
Thursday 30.04. 13:15 - 14:45 PC-Seminarraum 5 Oskar-Morgenstern-Platz 1 1.Untergeschoß
Saturday 02.05. 09:40 - 13:00 PC-Seminarraum 5 Oskar-Morgenstern-Platz 1 1.Untergeschoß
Wednesday 06.05. 15:00 - 16:30 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock

Information

Aims, contents and method of the course

The course introduces students to modeling techniques in the area of linear programming. The underlying aim is to improve the students' problem solving skills. The following topics will be discussed:

Introduction to Linear Programming
Introduction to XPress-MP
Solution methods
Duality
Sensitivity Analysis & its economic interpretation
Introduction to (mixed) integer programming

Students, who take the course, are assumed to have a basic math knowledge (solving equation systems, working with inequalities, matrix multiplication).

Assessment and permitted materials

20 % homework
40 % midterm exam (closed book) (date May, 6th, 2020) (updated)
40 % final exam (closed book) (date May, 20th, 2020)

Students have to upload the solutions to their homework in Moodle. (updated)

Minimum requirements and assessment criteria

In order to pass the course (minimum requirement) students have to achieve at least 50% in total.

The other grades are distributed as follows:
4: 50% to <63%
3: 63% to <75%
2: 75% to <87%
1: 87% to 100%

Examination topics

Students are expected to be able to understand, formulate and solve a variety of LP models in the exam and implement them using Mosel / XpressMP. Slides will be available in Moodle.

Content of the exams:
- Formulation of LP models
- Solution methods
- Duality
- Sensitivity analysis
- Mosel / XPress
- Branch-and-bound
- Modeling with binary variables
- Formulation of specific objectives

The final exam will additionally include parts where students need to show the implementation skills acquired during lessons and homework by writing Mosel code on paper (e.g. how the implementation of a certain constraint would look like, how one has to declare variables, etc.) and by explaining a given Mosel code and/or finding errors in it.

Reading list

* Bertsimas, D., & Tsitsiklis, J. N. (1997). Introduction to linear optimization. Athena Scientific.
* Papadimitriou, C. H., & Steiglitz, K. (1998). Combinatorial Optimization: Algorithms and Complexity. Dover Publications.
* Guéret, C., Prins, C., & Sevaux, M. (2002). Applications of optimisation with Xpress-MP. Dash optimization.
* Hillier, F. S., & Lieberman, G. J. Introduction to Operations Research. McGraw-Hill.
* Anderson, D. R., Sweeney, D. J. An introduction to management science: quantitative approaches to decision making. South-Western.

Association in the course directory

Last modified: Mo 07.09.2020 15:20