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Seminar Paper: Optimized Grouping in Educational Activities

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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Item Type: Seminar_paper
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:

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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