IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v25y1997i2p215-223.html
   My bibliography  Save this article

A heuristic algorithm for the equitable partitioning problem

Author

Listed:
  • O'Brien, F. A.
  • Mingers, J.

Abstract

This paper describes a heuristic for the equitable partitioning problem, which involves classifying individual elements, so that classes are similar. The paper presents three extensions to a heuristic algorithm, developed in earlier work, which dealt with binary-valued attributes only. The first extension illustrates how changing the coding of the data without changing the problem improves the quality of solutions obtained. The second extension allows the algorithm to deal with different scales of measurement; data sets consisting of binary valued, multi-valued nominal and interval attributes are tested and the results presented. The third extension allows the algorithm to deal with problems involving classes of different sizes. The revised heuristic is applied to the real life problem of allocating university student accommodation.

Suggested Citation

  • O'Brien, F. A. & Mingers, J., 1997. "A heuristic algorithm for the equitable partitioning problem," Omega, Elsevier, vol. 25(2), pages 215-223, April.
  • Handle: RePEc:eee:jomega:v:25:y:1997:i:2:p:215-223
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(96)00046-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Mingers, J. & O'Brien, F. A., 1995. "Creating student groups with similar characteristics: A heuristic approach," Omega, Elsevier, vol. 23(3), pages 313-321, June.
    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. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    2. Bhadury, Joyendu & Mighty, E. Joy & Damar, Hario, 2000. "Maximizing workforce diversity in project teams: a network flow approach," Omega, Elsevier, vol. 28(2), pages 143-153, April.
    3. Sergio García & Valentina Cacchiani & Lieselot Vanhaverbeke & Martin Bischoff, 2014. "The table placement problem: a research challenge at the EWI 2007," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 208-226, April.
    4. Akkan, Can & Erdem Külünk, M. & Koçaş, Cenk, 2016. "Finding robust timetables for project presentations of student teams," European Journal of Operational Research, Elsevier, vol. 249(2), pages 560-576.

    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. Iszan Hana Kaharudin & Mohammad Syuhaimi Ab-Rahman & Roslan Abd-Shukor & Azamin Zaharim & Mohd Jailani Mohd Nor & Ahmad Kamal Ariffin Mohd Ihsan & Shahrom Md Zain & Afiq Hipni & Kamisah Osman & Ruszym, 2022. "How Does Supervision Technique Affect Research? Towards Sustainable Performance: Publications and Students from Pure and Social Sciences," Sustainability, MDPI, vol. 14(9), pages 1-18, May.
    2. Stewart Robinson & Maureen Meadows & John Mingers & Frances A. O'Brien & Estelle A. Shale & Stephanie Stray, 2003. "Teaching OR/MS to MBAs at Warwick Business School: A Turnaround Story," Interfaces, INFORMS, vol. 33(2), pages 67-76, April.
    3. Bhadury, Joyendu & Mighty, E. Joy & Damar, Hario, 2000. "Maximizing workforce diversity in project teams: a network flow approach," Omega, Elsevier, vol. 28(2), pages 143-153, April.
    4. Kondor, Gábor, 2022. "Egyoldali párosítási piacok nehézségi eredményei magasabb dimenzióban [Hardness results of one-sided matching markets in higher dimensions]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 825-840.
    5. Arne Schulz, 2022. "A new mixed-integer programming formulation for the maximally diverse grouping problem with attribute values," Annals of Operations Research, Springer, vol. 318(1), pages 501-530, November.
    6. Sara Mohamed Abdelaziz El-Menawy & Pancie Salah Saleh, 2023. "How does the mediating role of the use of social media platforms foster the relationship between employer attractiveness and generation Z intentions to apply for a job?," Future Business Journal, Springer, vol. 9(1), pages 1-13, December.
    7. Saber, Hussein M. & Ghosh, Jay B., 2001. "Assigning students to academic majors," Omega, Elsevier, vol. 29(6), pages 513-523, December.
    8. Şenay Ağca & Burak Eksioglu & Jay B. Ghosh, 2000. "Lagrangian solution of maximum dispersion problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(2), pages 97-114, March.
    9. Akkan, Can & Erdem Külünk, M. & Koçaş, Cenk, 2016. "Finding robust timetables for project presentations of student teams," European Journal of Operational Research, Elsevier, vol. 249(2), pages 560-576.
    10. Schulz, Arne, 2021. "The balanced maximally diverse grouping problem with block constraints," European Journal of Operational Research, Elsevier, vol. 294(1), pages 42-53.
    11. Weitz, R. R. & Lakshminarayanan, S., 1997. "An empirical comparison of heuristic and graph theoretic methods for creating maximally diverse groups, VLSI design, and exam scheduling," Omega, Elsevier, vol. 25(4), pages 473-482, August.
    12. Sergio García & Valentina Cacchiani & Lieselot Vanhaverbeke & Martin Bischoff, 2014. "The table placement problem: a research challenge at the EWI 2007," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 208-226, April.
    13. Mustafa, A. & Goh, M., 1996. "Multi-criterion models for higher education administration," Omega, Elsevier, vol. 24(2), pages 167-178, April.

    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:eee:jomega:v:25:y:1997:i:2:p:215-223. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    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.