Skip to main content
SpringerLink
Log in
Book cover

Operations Research Proceedings 2005 pp 21–26Cite as

Rapid Mathematical Programming or How to Solve Sudoku Puzzles in a Few Seconds

  • Conference paper

Part of the book series: Operations Research Proceedings ((ORP,volume 2005))

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
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. Tobias Achterberg. SCIP-a framework to integrate constraint and mixed integer programming. Technical Report 04-19, Zuse Institute Berlin, 2004. See scip.zib.de.

    Google Scholar 

  2. J. Bisschop and A. Meeraus. On the development of a general algebraic modeling system in a strategic planning environment. Mathematical Programming Study, 20:1–29, 1982.

    Google Scholar 

  3. Robert E. Bixby. Solving real-world linear programs: A decade and more of progress. Operations Research, 50(1):3–15, 2002.

    Article  MathSciNet  Google Scholar 

  4. Robert E. Bixby, Marc Fenelon, Zonghao Gu, Ed Rothberg, and Roland Wunderling. MIP: Theory and practice-closing the gap. In M. J. D. Powell and S. Scholtes, editors, System Modelling and Optimization: Methods, Theory and Applications. Kluwer, 2000.

    Google Scholar 

  5. David Eppstein. Nonrepetitive paths and cycles in graphs with application to Sudoku. ACM Computing Research Repository, 2005.

    Google Scholar 

  6. R. Fourer, D. M. Gay, and B. W. Kernighan. AMPL: A Modelling Language for Mathematical Programming. Brooks/Cole, 2nd edition, 2003.

    Google Scholar 

  7. Josef Kallrath, editor. Modeling Languages in Mathematical Optimization. Kluwer, 2004.

    Google Scholar 

  8. Thorsten Koch. Rapid Mathematical Programming. PhD thesis, Technische Universität Berlin, 2004. Corrected version available as ZIB technical report 04-58. Regarding software see www.zib.de/koch/zimpl.

    Google Scholar 

  9. Frank Plastria. Formulating logical implications in combinatorial optimization. European Journal of Operational Research, 140:338–353, 2002.

    Article  MATH  MathSciNet  Google Scholar 

  10. Hermann Schichl. Models and the history of modeling. In Josef Kallrath, editor, Modeling Languages in Mathematical Optimization, pages 25–36. Kluwer, 2004.

    Google Scholar 

  11. W.J. van Hoeve. The alldifferent constraint: A survey. In 6th Annual Workshop of the ERCIM Working Group on Constraints. Prague, June 2001.

    Google Scholar 

  12. H. Paul Williams and Sally C. Brailsford. Computational logic and integer programming. In J. E. Beasley, editor, Advances in Linear and Integer Programming, pages 249–281. Oxford University Press, 1996.

    Google Scholar 

  13. GNU linear programming toolkit glpsol version 4.7. www.gnu.org/software/glpk.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Zuse Institute Berlin, Takustr. 7, 14195, Berlin

    Thorsten Koch

Authors
  1. Thorsten Koch
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Shipping Economics and Logistics Dept. Logistics Systems, University of Bremen, Universitätsallee GW1 Block A, 28359, Bremen, Germany

    Hans-Dietrich Haasis

  2. Faculty of Business Studies and Economics Chair of Logistics, University of Bremen, PO Box 33 04 40, 28334, Bremen, Germany

    Herbert Kopfer  & Jörn Schönberger  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Koch, T. (2006). Rapid Mathematical Programming or How to Solve Sudoku Puzzles in a Few Seconds. In: Haasis, HD., Kopfer, H., Schönberger, J. (eds) Operations Research Proceedings 2005. Operations Research Proceedings, vol 2005. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-32539-5_4

Download citation

Publish with us

Policies and ethics

Search

Navigation