Skip to main content

A Multicriteria Approach to Examination Timetabling

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2079))

Abstract

The main aim of this paper is to consider university examination timetabling problems as multicriteria decision problems. A new multicriteria approach to solving such problems is presented. A number of criteria will be defined with respect to a number of exam timetabling constraints. The criteria considered in this research concern room capacities, the proximity of the exams for the students, the order and locations of events, etc. Of course, the criteria have different levels of importance in different situations and for different institutions.

The approach that we adopt is divided into two phases. The goal of the first phase is to find high-quality timetables with respect to each criterion separately. In the second phase, trade-offs between criteria values are carried out in order to find a compromised solution with respect to all the criteria simultaneously. This approach involves considering an ideal point in the criteria space which optimises all criteria at once. It is, of course, generally the case that a solution that corresponds to such a point does not exist. The heuristic search of the criteria space starts from the timetables obtained in the first phase with the aim of finding a solution that is as close as possible to this ideal point with respect to a certain defined distance measure.

The developed methodology is validated, tested and discussed using real world examination data from various universities.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arani, T., Lotfi, V.: A Three Phased Approach to Final Exam Scheduling. IIE Trans. 21 (1989) 86–96

    Article  Google Scholar 

  2. Balakrishnan, N., Lucena, A., Wong, R.T.: Scheduling Examinations to Reduce Second-Order Conflicts. Comput. Oper. Res. 19 (1992) 353–361

    Article  MATH  Google Scholar 

  3. Brailsford, S.C., Potts, C.N., Smith, B.M.: Constraint Satisfaction Problems: Algorithms and Applications. Eur. J. Oper. Res. 119 (1999) 557–581

    Article  MATH  Google Scholar 

  4. Burke, E.K., Newall, J.P.: A Multi-stage Evolutionary Algorithm for the Timetable Problem, IEEE Trans. Evol. Comput. 3 (1999) 63–74

    Article  Google Scholar 

  5. Burke, E., Carter, M. (eds.): The Practice and Theory of Automated Timetabling II: Selected Papers (PATAT’ 97, University of Toronto). Lecture Notes in Computer Science, Vol. 1408. Springer-Verlag, Berlin Heidelberg New York (1998)

    Google Scholar 

  6. Burke, E., Ross, P. (eds.): The Practice and Theory of Automated Timetabling: Selected Papers (PATAT’95, Napier University). Lecture Notes in Computer Science, Vol. 1153. Springer-Verlag, Berlin Heidelberg New York (1996)

    Google Scholar 

  7. Burke, E.K., Newall, J.P., Weare, R.F., 1996b. A Memetic Algorithm for University Exam Timetabling. In: Burke, E., Ross, P. (eds.): The Practice and Theory of Automated Timetabling: Selected Papers (PATAT’95, Napier University). Lecture Notes in Computer Science, Vol. 1153. Springer-Verlag, Berlin Heidelberg New York (1996) 241–250

    Google Scholar 

  8. Carter M.W., and Laporte G., 1998. Recent Developments in Practical Course Timetabling. In: Burke, E., Carter, M. (eds.): The Practice and Theory of Automated Timetabling II: Selected Papers (PATAT’97, University of Toronto). Lecture Notes in Computer Science, Vol. 1408. Springer-Verlag, Berlin Heidelberg New York (1998) 3–19

    Chapter  Google Scholar 

  9. Carter, M.W, Laporte, G., 1996. Recent Developments in Practical Examination Timetabling. In: Burke, E., Ross, P. (eds.): The Practice and Theory of Automated Timetabling: Selected Papers (PATAT’95, Napier University). Lecture Notes in Computer Science, Vol. 1153. Springer-Verlag, Berlin Heidelberg New York (1996) 3–21.

    Google Scholar 

  10. Carter, M.W, Laporte, G., Lee, S.Y.: 1996. Examination Timetabling: Algorithmic Strategies and Applications. J. Oper. Res. Soc. 47 (1996) 373–383

    Article  Google Scholar 

  11. Carter, M.W.: A Survey of Practical Applications of Examination Timetabling Algorithms, Oper. Res. 34 (1986) 193–202

    Google Scholar 

  12. Dowsland, K.A.: Off the Peg or Made to Measure. In: Burke, E., Carter, M. (eds.): The Practice and Theory of Automated Timetabling II: Selected Papers (PATAT’ 97, University of Toronto). Lecture Notes in Computer Science, Vol. 1408. Springer-Verlag, Berlin Heidelberg New York (1998) 37–52

    Chapter  Google Scholar 

  13. Elmohamed, S., Coddington, P., Fox., F.A.: Comparison of Annealing Techniques for Academic Course Scheduling. In: Burke, E., Carter, M. (eds.): The Practice and Theory of Automated Timetabling II: Selected Papers (PATAT’97, University of Toronto). Lecture Notes in Computer Science, Vol. 1408. Springer-Verlag, Berlin Heidelberg New York (1998) 92–112

    Chapter  Google Scholar 

  14. Erben, W., Keppler, J.: 1996. A Genetic Algorithm Solving a Weekly Course-Timetabling Problem. In: Burke, E., Ross, P. (eds.): The Practice and Theory of Automated Timetabling: Selected Papers (PATAT’95, Napier University). Lecture Notes in Computer Science, Vol. 1153, Springer-Verlag, Berlin Heidelberg New York (1996) 198–211

    Google Scholar 

  15. Fisher, J.G., Shier, D.R.: A Heuristic Procedure for Large-Scale Examination Scheduling Problems. Technical Report 417. Department of Mathematical Sciences, Clemson University (1983)

    Google Scholar 

  16. Lotfi, V., Cerveny, R.: A Final Exam-Scheduling Package. J. Oper. Res. Soc. 42 (1991) 205–216

    Article  Google Scholar 

  17. Paechter, B., Rankin, R.C., Cumming, A.: Improving a Lecture Timetabling System for University-Wide Use. In: Burke, E., Carter, M. (eds.): The Practice and Theory of Automated Timetabling II: Selected Papers (PATAT’97, University of Toronto). Lecture Notes in Computer Science, Vol. 1408. Springer-Verlag, Berlin Heidelberg New York (1998) 156–165

    Chapter  Google Scholar 

  18. Petrovic, S., Petrovic, R.: Eco-Ecodispatch: DSS for Multicriteria Loading of Thermal Power Generators. J. Decis. Syst. 4 (1995) 279–295

    Google Scholar 

  19. Romero B.P.: 1982. Examination Scheduling in a Large Engineering School: A Computer-Assisted Participative Procedure. Interfaces 12 (1982) 17–23

    Article  Google Scholar 

  20. Ross, P., Hart, E., Corne, D.: Some Observations about GA based Timetabling. In: Burke, E., Carter, M. (eds.): The Practice and Theory of Automated Timetabling II: Selected Papers (PATAT’ 97, University of Toronto). Lecture Notes in Computer Science, Vol. 1408. Springer-Verlag, Berlin Heidelberg New York (1998) 115–129

    Chapter  Google Scholar 

  21. White, G.M., 2000. Constrained Satisfaction, Not So Constrained Satisfaction and the Timetabling Problem. A Plenary Talk. In: Burke, E., Erben, W. (eds.): Proc. 3rd Int. Conf. on the Practice and Theory of Automated Timetabling (University of Applied Sciences, Konstanz, August 16-18). Lecture Notes in Computer Science. Springer-Verlag, Berlin Heidelberg New York (2000) 32–47

    Google Scholar 

  22. White, G.M., Zhang, J. 1998. Generating Complete University Timetables by Combining Tabu Search with Constraint Logic. In: Burke, E., Carter, M. (eds.): The Practice and Theory of Automated Timetabling II: Selected Papers (PATAT’97, University of Toronto). Lecture Notes in Computer Science, Vol. 1408. Springer-Verlag, Berlin Heidelberg New York (1998) 187–210

    Chapter  Google Scholar 

  23. Zeleny, M., 1974. A Concept of Compromise Solutions and the Method of Displaced Ideal. Comput. Oper. Res. 1 479–496.

    Article  Google Scholar 

  24. Zeleny, M., 1973. Compromise programming. In: J.L. Cochrane and M. Zeleny (eds.): Multiple Criteria Decision Making, University of South Carolina Press, Columbia, 262–301.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Burke, E., Bykov, Y., Petrovic, S. (2001). A Multicriteria Approach to Examination Timetabling. In: Burke, E., Erben, W. (eds) Practice and Theory of Automated Timetabling III. PATAT 2000. Lecture Notes in Computer Science, vol 2079. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44629-X_8

Download citation

  • DOI: https://doi.org/10.1007/3-540-44629-X_8

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42421-5

  • Online ISBN: 978-3-540-44629-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics