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A heuristic algorithm for the equitable partitioning problem

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  • 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
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    References listed on IDEAS

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    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.
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    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. 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.
    4. 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.

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