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College admissions with ties and common quotas – Publication by Ágoston Kolos, Péter Bíró and Zsuzsanna Jankó 

2022-05-26 14:38:52

The article co-authored by Ágoston Kolos, Péter Bíró and Zsuzsanna Jankó was publihed in the European Journal of Operational Research.

Kapcsolódó hírek

Kapcsolódó események

Admission to universities is organised in a centralised scheme in Hungary. In this paper we investigate two major specialities of this application: ties and common quotas. A tie occur when some students have the same score at a programme. If not enough seats are available for the last tied group of applicants at a programme then there are three reasonable policies used in practice: 1) all must be rejected, as in Hungary 2) all can be accepted, as in Chile 3) a lottery decides which students are accepted from this group, as in Ireland. Even though student-optimal stable matchings can be computed efficiently for each of the above three cases, we developed (mixed) integer programming (IP) formulations for solving these problems, and compared the solutions obtained by the three policies for a real instance of the Hungarian application from 2008. In the case of Hungary common quotas arise from the faculty quotas imposed on their programmes and from the national quotas set for state-financed students in each subject. The overlapping structure of common quotas makes the computational problem of finding a stable solution NP-hard, even for strict rankings. In the case of ties and common quotas we propose two reasonable stable solution concepts for the Hungarian and Chilean policies. We developed (mixed) IP formulations for solving these stable matching problems and tested their performance on the large scale real instance from 2008 and also for one from 2009 under two different assumptions. We demonstrate that the most general case is also solvable in practice by IP technique. 

Ágoston Kolos Csaba kolos.agoston@uni-corvinus.hu Rektori Szervezet / Operáció és Döntés Intézet / Operációkutatás és Aktuáriustudományok Tanszék
Intézetvezető / Head Of Institute, Habilitált Egyetemi Docens / Habilitated Associate Professor
Sóház, 202/A
Phone: +36 1 482 7450 • Ext: 7450
Dr. Biró Péter peter.biro@uni-corvinus.hu Rektori Szervezet / Operáció és Döntés Intézet / Operációkutatás és Aktuáriustudományok Tanszék
Docens – félállású
Sóház, 208/A
Phone: +36 1 482 7448 • Ext: 7448
Dr. Jankó Zsuzsanna zsuzsanna.janko@uni-corvinus.hu Rektori Szervezet / Operáció és Döntés Intézet / Operációkutatás és Aktuáriustudományok Tanszék
Tudományos munkatárs / Research Fellow
Sóház, 201/A
Phone: +36 1 482 7454 • Ext: 7454
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GEN.:2022.08.09. - 07:25:13