März, Lars Steffen ; Herde, Thomas (2023)
Seminar Paper: Optimized Grouping in Educational Activities.
Universitäts- und Landesbibliothek Darmstadt
Master-Seminar: Optimized grouping in educational activities. Technische Universität Darmstadt (01.10.2022-31.03.2023)
doi: 10.26083/tuprints-00024768
Seminar_paper, Primary publication, Publisher's Version
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Optimizied_Grouping_in_Educational_Activities.pdf Copyright Information: CC BY 4.0 International - Creative Commons, Attribution. Download (1MB) |
Item Type: | Seminar_paper |
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Type of entry: | Primary publication |
Title: | Seminar Paper: Optimized Grouping in Educational Activities |
Language: | English |
Referees: | Weidinger, Prof. Dr. Felix ; Wildt, M.Sc. Constantin |
Date: | 6 November 2023 |
Place of Publication: | Darmstadt |
Event Title: | Master-Seminar: Optimized grouping in educational activities |
Event Location: | Technische Universität Darmstadt |
Event Dates: | 01.10.2022-31.03.2023 |
DOI: | 10.26083/tuprints-00024768 |
Corresponding Links: | |
Abstract: | Grouping people to foster synergies has been an active field of research for decades, both in social sciences and management science. But also from the viewpoint of mathematical modelling and optimization, it is a challenging task due to its combinatorial and multi-objective nature. This paper focuses on the educational context by specifically considering group and topic assignments rooted in social preferences, topic interests, prior knowledge and other properties to an unprecedented extent. It provides highly customizable MIPs to model and Java code to solve such problems relying on the Gurobi library. Initial numerical tests, utilizing heuristically parameterized and randomly generated artificial user data, show computational tractability and provide approximately Pareto-efficient solutions to the user for moderate instance sizes of up to 30 students and 15 topics. Finally, the goal is to supply the chair for Management Science and Operations Research at TU Darmstadt with the developed software for practical application and evaluation. |
Uncontrolled Keywords: | Gurobi, MIP, modelling, operations research, grouping, optimization, efficient frontier, pareto optimality, multiobjective programming, multicriteria programming, management science, mixed-integer program, linear program, LP, binary programme, mathematics |
Status: | Publisher's Version |
URN: | urn:nbn:de:tuda-tuprints-247681 |
Classification DDC: | 300 Social sciences > 330 Economics 500 Science and mathematics > 510 Mathematics 600 Technology, medicine, applied sciences > 650 Management |
Divisions: | 01 Department of Law and Economics > Betriebswirtschaftliche Fachgebiete > Fachgebiet Management Science / Operations Research |
Date Deposited: | 06 Nov 2023 10:55 |
Last Modified: | 22 Nov 2023 09:51 |
URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/24768 |
PPN: | 513381015 |
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