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The table placement problem: a research challenge at the EWI 2007

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Abstract

The table placement problem consists in deciding how to seat the participants attending a social lunch or dinner so that the total social benefit of the event is maximum. Four different approaches are presented: a linear model, a bin-packing-based-approach, a quadratic assignment problem, and a greedy heuristic. The different formulations are computationally compared over a set of artificial instances and on the real data for the EURO Winter Institute 2007 Gala dinner.

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References

  • Ahuja RK, Magnanti TL, Orlin JB (1993) Network flows: theory, algorithms and applications. Prentice Hall, Englewood Cliffs

    Google Scholar 

  • Baker BM, Benn C (2001) Assigning pupils to tutor groups in a comprehensive school. J Oper Res Soc 52:623–629

    Article  Google Scholar 

  • Baker KR, Powell SG (2002) Methods for assigning students to groups: A study of alternative objective functions. J Oper Res Soc 53:397–404

    Article  Google Scholar 

  • Beheshtian-Ardekani M, Mahmood MA (1986) Development and validation of a tool for assigning students to groups for class projects. Decis Sci 17:92–113

    Article  Google Scholar 

  • Burkard R, Dell’Amico M, Martello S (2009) Assignment problems. SIAM, Philadelphia

    Book  Google Scholar 

  • Desrosiers J, Mladenovic N, Villeneuve D (2005) Design of balanced MBA student teams. J Oper Res Soc 56:60–66

    Article  Google Scholar 

  • Fernandes-Muritiba AE, Iori M, Malaguti E, Toth P (2010) Algorithms for the bin packing problem with conflicts. INFORMS J Comput 22:401–415

    Article  Google Scholar 

  • Fourer R (1997) “Balanced” assignment. Available online at http://www.ampl.com/CASES/balassign.html

  • Hartsfield N, Ringel G (1994) Pearls in graph theory. A comprehensive introduction. Academic Press, San Diego

    Google Scholar 

  • Jansen K (1999) An approximation scheme for bin packing with conflicts. J Comb Optim 3:363–379

    Article  Google Scholar 

  • Krass D, Ovchinnikov A (2006) The University of Toronto’s Rotman School of Management uses management science to create MBA study group. Interfaces 36(2):126–137

    Article  Google Scholar 

  • Mingers J, O’Brien FA (1995) Creating student groups with similar characteristics: a heuristic approach. Omega 23(3):313–321

    Article  Google Scholar 

  • O’Brien FA, Mingers J (1997) A heuristic algorithm for the equitable partitioning problem. Omega 25(2):215–223

    Article  Google Scholar 

  • Plastria F (2002) Formulating logical implications in combinatorial optimisation. Eur J Oper Res 140:338–353

    Article  Google Scholar 

  • Plastria F (2006) Table placement, an OR problem? MOSI Working Paper 39

  • Sørensen MM (2004) New facets and a branch-and-cut algorithm for the weighted clique problem. Eur J Oper Res 154:57–70

    Article  Google Scholar 

  • Weitz RR, Jelassi MT (1992) Assigning students to groups: a multi-criteria decision support system approach. Decis Sci 23(3):746–757

    Article  Google Scholar 

  • Weitz RR, Lakshminarayanan S (1998) An empirical comparison of heuristic methods for creating maximally diverse groups. J Oper Res Soc 49:635–646

    Google Scholar 

Download references

Acknowledgements

The authors would like to thank the two anonymous referees and the associate editor for their comments which helped to improve the final version of this paper.

Valentina Cacchiani gratefully acknowledges the financial support of DEIS, University of Bologna, Italy.

Sergio García’s research has been funded by Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica (I+D+I) (project MTM2009-14039-C06-04 and RDEF funds), Fundación Séneca (project 02911/PI/05), and Comunidad de Madrid (project CCG07-UC3M/ESP-3389).

Lieselot Vanhaverbeke gratefully acknowledges the financial support of the Vrije Universiteit Brussel (VUB) through the research project OZR1067.

We are very grateful to the authors of Fernandes-Muritiba et al. (2010) for providing us with their code to solve the Bin-Packing Problem with Conflicts.

Finally, we would like to thank the organizers of the EURO Winter Institute 2007 and all the laureates, who helped a lot with their fruitful discussions during the course. We would like to thank specially Frank Plastria, who launched the idea of the joint research activity, and Francisco Saldanha, who was the main organizer of the Institute. Moreover, the comments and suggestions from both of them were invaluable for improving this paper.

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Correspondence to Sergio García.

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García, S., Cacchiani, V., Vanhaverbeke, L. et al. The table placement problem: a research challenge at the EWI 2007. TOP 22, 208–226 (2014). https://doi.org/10.1007/s11750-012-0249-5

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  • DOI: https://doi.org/10.1007/s11750-012-0249-5

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