IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v23y2015i3p547-562.html
   My bibliography  Save this article

Modelling practical placement of trainee teachers to schools

Author

Listed:
  • Katarína Cechlárová
  • Tamás Fleiner
  • David Manlove
  • Iain McBride
  • Eva Potpinková

Abstract

Several countries successfully use centralized matching schemes for assigning students to study places or fresh graduates to their first positions. In this paper we explore the computational aspects of a possible similar scheme for assigning trainee teachers to schools. Our model is motivated by the situation characteristic for Slovak and Czech education system where each pre-service teacher specializes in two subjects. We show that if the two subjects can be performed independently in two different schools, then a feasible assignment can be found efficiently by employing network flow techniques. By contrast, the requirement to perform both subjects at the same school leads to intractable problems even under several strict restrictions concerning the total number of subjects, partial capacities of schools and the number of acceptable schools each teacher is allowed to list. Finally, we report on an integer programming model for solving the ‘inseparable subjects’ case of the teachers assignment problem and the results of its application to real data. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Katarína Cechlárová & Tamás Fleiner & David Manlove & Iain McBride & Eva Potpinková, 2015. "Modelling practical placement of trainee teachers to schools," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 547-562, September.
    • Handle: RePEc:spr:cejnor:v:23:y:2015:i:3:p:547-562
    DOI: 10.1007/s10100-014-0356-5
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10100-014-0356-5
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10100-014-0356-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Péter Biró & Sofya Kiselgof, 2015. "College admissions with stable score-limits," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 727-741, December.
    2. Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth & Tayfun Sönmez, 2005. "The Boston Public School Match," American Economic Review, American Economic Association, vol. 95(2), pages 368-371, May.
    3. Péter Biró & Flip Klijn, 2013. "Matching With Couples: A Multidisciplinary Survey," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-18.
    4. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Botond Bertók & Tibor Csendes & Tibor Illés, 2015. "Editorial," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 811-813, December.
    2. Tibor Csendes & Lidija Zadnik Stirn & Janez Žerovnik, 2015. "Editorial," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 523-525, September.
    3. Andrej Kastrin & Janez Povh & Lidija Zadnik Stirn & Janez Žerovnik, 2021. "Methodologies and applications for resilient global development from the aspect of SDI-SOR special issues of CJOR," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 773-790, September.
    4. Julien Combe & Umut Mert Dur & Olivier Tercieux & Camille Terrier & M. Utku Ünver, 2022. "Market Design for Distributional Objectives in (Re)assignment: An Application to Improve the Distribution of Teachers in Schools," Boston College Working Papers in Economics 1050, Boston College Department of Economics.
    5. Elacqua, Gregory & Gómez, Leidy & Krussig, Thomas & Marotta, Luana & Méndez, Carolina & Neilson, Christopher, 2022. "The Potential of Smart Matching Platforms in Teacher Assignment: The Case of Ecuador," IDB Publications (Working Papers) 12483, Inter-American Development Bank.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    2. Bettina Klaus & David F. Manlove & Francesca Rossi, 2014. "Matching under Preferences," Cahiers de Recherches Economiques du Département d'économie 14.07, Université de Lausanne, Faculté des HEC, Département d’économie.
    3. Ágoston, Kolos Csaba & Biró, Péter & Kováts, Endre & Jankó, Zsuzsanna, 2022. "College admissions with ties and common quotas: Integer programming approach," European Journal of Operational Research, Elsevier, vol. 299(2), pages 722-734.
    4. Kolos Csaba Ágoston & Péter Biró & Iain McBride, 2016. "Integer programming methods for special college admissions problems," Journal of Combinatorial Optimization, Springer, vol. 32(4), pages 1371-1399, November.
    5. Péter Biró & Sofya Kiselgof, 2015. "College admissions with stable score-limits," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 727-741, December.
    6. Peter Biro & Tamas Fleiner & Rob Irving, 2013. "Matching Couples with Scarf's Algorithm," CERS-IE WORKING PAPERS 1330, Institute of Economics, Centre for Economic and Regional Studies.
    7. Kóczy Á., László, 2009. "Központi felvételi rendszerek. Taktikázás és stabilitás [Central admission systems. Stratagems and stability]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(5), pages 422-442.
    8. James Boudreau & Vicki Knoblauch, 2013. "Preferences and the price of stability in matching markets," Theory and Decision, Springer, vol. 74(4), pages 565-589, April.
    9. Hatfield, John William & Kojima, Fuhito, 2010. "Substitutes and stability for matching with contracts," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1704-1723, September.
    10. Alvin E. Roth, 2010. "Marketplace Institutions Related to the Timing of Transactions," NBER Working Papers 16556, National Bureau of Economic Research, Inc.
    11. Pablo Guillen & Rustamdjan Hakimov, 2017. "Not quite the best response: truth-telling, strategy-proof matching, and the manipulation of others," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 670-686, September.
    12. Haeringer, Guillaume & Klijn, Flip, 2009. "Constrained school choice," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1921-1947, September.
    13. Guillen, Pablo & Hing, Alexander, 2014. "Lying through their teeth: Third party advice and truth telling in a strategy proof mechanism," European Economic Review, Elsevier, vol. 70(C), pages 178-185.
    14. Ekrem Akkaya & Ayse Mumcu, 2011. "ERSAMUS Student Exchange Programs: How to place students?," Working Papers 2011/02, Bogazici University, Department of Economics.
    15. Alvin E Roth & Tayfun Sönmez & M. Utku Ünver, 2005. "Efficient Kidney Exchange: Coincidence of Wants in a Structured Market," Levine's Bibliography 784828000000000126, UCLA Department of Economics.
    16. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    17. Alvin E. Roth, 2012. "Marketplace Institutions Related to the Timing of Transactions: Reply to Priest," Journal of Labor Economics, University of Chicago Press, vol. 30(2), pages 479-494.
    18. Min Zhu, 2013. "College Admissions in China : A Mechanism Design Perspective," Working Papers 1327, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    19. Zhu, Min, 2014. "College admissions in China: A mechanism design perspective," China Economic Review, Elsevier, vol. 30(C), pages 618-631.
    20. Tayfun Sönmez & Alvin E. Roth & M. Utku Ünver, 2007. "Efficient Kidney Exchange: Coincidence of Wants in Markets with Compatibility-Based Preferences," American Economic Review, American Economic Association, vol. 97(3), pages 828-851, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:cejnor:v:23:y:2015:i:3:p:547-562. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.