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Relation Algebra and RelView in Practical Use: Construction of Special University Timetables

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Relations and Kleene Algebra in Computer Science (RelMiCS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4988))

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Abstract

In this paper, we are concerned with a special timetabling problem. It was posed to us by the administration of our university and stems from the adoption of the British-American system of university education in Germany. This change led to the concrete task of constructing a timetable that enables the undergraduate education of secondary school teachers within three years in the “normal case” and within four years in the case of exceptional combinations of fields of study. We develop a relational model of the special timetabling problem and apply the RelView tool to compute solutions.

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References

  1. Behnke, R., et al.: RelView – A system for calculation with relations and relational programming. In: Astesiano, E. (ed.) ETAPS 1998 and FASE 1998. LNCS, vol. 1382, pp. 318–321. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  2. Berghammer, R., Leoniuk, B., Milanese, U.: Implementation of relation algebra using binary decision diagrams. In: de Swart, H. (ed.) RelMiCS 2001. LNCS, vol. 2561, pp. 241–257. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  3. Berghammer, R., Neumann, F.: RelView – An OBDD-based Computer Algebra system for relations. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds.) CASC 2005. LNCS, vol. 3718, pp. 40–51. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  4. Gross, J.L., Yellen, J. (eds.): Handbook of graph theory. CRC Press, Boca Raton (2003)

    Google Scholar 

  5. Kehden, B.: Evaluating sets of search points using relational algebra. In: Schmidt, R.A. (ed.) RelMiCS/AKA 2006. LNCS, vol. 4136, pp. 266–280. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  6. Kehden, B.: Vectors and vector predicates and their use in the development of relational algorithms (in German). Ph.D. thesis, Univ. of Kiel (to appear, 2008)

    Google Scholar 

  7. Schmidt, G., Ströhlein, T.: Some aspects in the construction of timetables. In: Rosenfeld, J.L. (ed.) Proc. IFIP Congress 1974, pp. 516–520. North Holland, Amsterdam (1974)

    Google Scholar 

  8. Schmidt, G., Ströhlein, T.: A Boolean matrix iteration in timetable construction. Lin. Algebra and Applications 15, 27–51 (1976)

    Article  MATH  Google Scholar 

  9. Schmidt, G., Ströhlein, T.: Relations and graphs. Springer, Heidelberg (1993)

    MATH  Google Scholar 

  10. Tarski, A.: On the calculus of relations. J. Symbolic Logic 6, 73–89 (1941)

    Article  MATH  MathSciNet  Google Scholar 

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Rudolf Berghammer Bernhard Möller Georg Struth

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Berghammer, R., Kehden, B. (2008). Relation Algebra and RelView in Practical Use: Construction of Special University Timetables. In: Berghammer, R., Möller, B., Struth, G. (eds) Relations and Kleene Algebra in Computer Science. RelMiCS 2008. Lecture Notes in Computer Science, vol 4988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78913-0_4

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  • DOI: https://doi.org/10.1007/978-3-540-78913-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78912-3

  • Online ISBN: 978-3-540-78913-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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