Abstract
Every student in North Rhine-Westphalia, Germany, studying to become a teacher, has to complete a semester of practical training at a school. In order to assign students to schools and thereby satisfy the requests of the students, without exceeding capacity limitations at the schools, a discrete, assignment-like optimization problem is formulated and solved to optimality. Since students study two major subjects, a school has to provide capacities in both of them to be a candidate for a feasible assignment. An additional requirement comes from the fact that students have to attend seminar courses in the respective subjects during their internship. The overall optimization problem is a generalized assignment problem, which has an alternative interpretation as a fixed-charge multicommodity flow problem.
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Notes
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PVP website (German) https://www.pvp-nrw.uni-wuppertal.de/ueber-pvp.html.
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Zentrum fĂĽr schulpraktische Lehrerausbildung.
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Stiglmayr, M., Görtz, S., Klamroth, K. (2019). Assigning Students to Schools for an Internship. In: Fortz, B., Labbé, M. (eds) Operations Research Proceedings 2018. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-18500-8_20
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