Skip to main content

Heuristic Enhancements to the k-best Method for Solving Biobjective Combinatorial Optimisation Problems

  • Conference paper
Operations Research Proceedings 2005

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

  • 1215 Accesses

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J C N Clímaco and E Q V Martins. A bicriterion shortest path algorithm. European Journal of Operational Research, 11:399–404, 1982.

    Article  MATH  MathSciNet  Google Scholar 

  2. J M Countinho-Rodrigues, J C N Clímaco, and J R Current. An interactive bi-objective shortest path approach: searching for unsupported nondominated solutions. Computers & Operations Research, 26:789–798, 1999.

    Article  Google Scholar 

  3. M Ehrgott. Approximation algorithms for combinatorial multicriteria optimization problems. International Transactions in Operational Research, 7:5–31, 2000.

    Article  MathSciNet  Google Scholar 

  4. M Ehrgott and X Gandibleux. A survey and annotated bibliography of multiobjective combinatorial optimization. OR Spektrum, 22:425–460, 2000.

    MATH  MathSciNet  Google Scholar 

  5. H N Gabow. Two algorithms for generating weighted spanning trees in order. Siam Journal on Computing, 6(1):139–150, 1977.

    Article  MATH  MathSciNet  Google Scholar 

  6. H W Hamacher and M Queyranne. k best solutions to combinatorial optimization problems. Annals of Operations Research, 4:123–143, 1985.

    Article  MathSciNet  Google Scholar 

  7. H W Hamacher and G Ruhe. On spanning tree problems with multiple objectives. Annals of Operations Research, 52:209–230, 1994.

    Article  MATH  MathSciNet  Google Scholar 

  8. K Melhorn and S Näher. LEDA: A platform for combinatorial and geometric computing. Cambridge University Press, 1999.

    Google Scholar 

  9. S Steiner and T Radzik. Computing all efficient solutions of the biobjective minimum spanning tree problem. To appear: Computers & Operations Research.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Steiner, S., Radzik, T. (2006). Heuristic Enhancements to the k-best Method for Solving Biobjective Combinatorial Optimisation Problems. 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_59

Download citation

Publish with us

Policies and ethics