Integer programming methods for special college admissions problems

Kolos Agoston, Péter Biró and Iain McBride ()
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Iain McBride: School of Computing Science, University of Glasgow

No 1632, CERS-IE WORKING PAPERS from Institute of Economics, Centre for Economic and Regional Studies

Abstract: We develop Integer Programming (IP) solutions for some special college admission problems arising from the Hungarian higher education admission scheme. We focus on four special features, namely the solution concept of stable score-limits, the presence of lower and common quotas, and paired applications. We note that each of the latter three special feature makes the college admissions problem NP-hard to solve. Currently, a heuristic based on the Gale-Shapley algorithm is being used in the Hungarian application. The IP methods that we propose are not only interesting theoretically, but may also serve as an alternative solution concept for this practical application, and other similar applications. We finish the paper by presenting a simulation using the 2008 data of the Hungarian higher education admission scheme.

Keywords: College admissions problem; integer programming; stable score-limits; lower quotas; common quotas; paired applications; simulations (search for similar items in EconPapers)
JEL-codes: C61 C63 C78 (search for similar items in EconPapers)
Pages: 32 pages
Date: 2016-10
New Economics Papers: this item is included in nep-cmp and nep-edu
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Citations: View citations in EconPapers (14)

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