Skip to main content

An Experimental Evaluation of Incremental and Hierarchical k-Median Algorithms

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6630))

Abstract

In this paper, we consider different incremental and hierarchical k-median algorithms with provable performance guarantees and compare their running times and quality of output solutions on different benchmark k-median datasets. We determine that the quality of solutions output by these algorithms for all the datasets is much better than their performance guarantees suggest. Since some of the incremental k-median algorithms require approximate solutions for the k-median problem, we also compare some of the existing k-median algorithms’ running times and quality of solutions obtained on these datasets.

Supported in part by NSF grant CCF 0514528.

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. Alp, O., Erkut, E., Drezner, D.: An efficient genetic algorithm for the p-median problem. Annals of Operations Research 122, 21–42 (22) (2003)

    Article  MathSciNet  MATH  Google Scholar 

  2. Arya, V., Garg, N., Khandekar, R., Meyerson, A., Munagala, K., Pandit, V.: Local search heuristics for k-median and facility location problems. SIAM Journal on Computing 33, 544–562 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  3. Beasley, J.E.: A note on solving large p-median problems. European Journal of Operational Research 21, 270–273 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  4. Charikar, M., Guha, S., Tardos, E., Shmoys, D.B.: A constant-factor approximation algorithm for the k-median problem (extended abstract). In: Proceedings of the 31th Annual ACM Symposium on Theory of Computing, pp. 1–10 (1999)

    Google Scholar 

  5. Chrobak, M., Kenyon, C., Noga, J., Young, N.E.: Incremental medians via online bidding. Algorithmica 50, 455–478 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  6. Galvao, R.D., ReVelle, C.: A Lagrangean heuristic for the maximal covering location problem. European Journal of Operational Research 88(1), 114–123 (1996)

    Article  MATH  Google Scholar 

  7. Jain, K., Mahdian, M., Markakis, E., Saberi, A., Vazirani, V.V.: Greedy facility location algorithms analyzed using dual-fitting with factor-revealing LP. Journal of the ACM 50, 795–824 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  8. Kariv, O., Hakimi, S.L.: An algorithm approach to network location problems ii. the p-medians. SIAM Journal of Applied Mathematics 37, 539–560 (1979)

    Article  MATH  Google Scholar 

  9. Lin, G., Nagarajan, C., Rajaraman, R., Williamson, D.P.: A general approach for incremental approximation and hierarchical clustering. SIAM Journal on Computing 39, 3633–3669 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  10. Mettu, R.R., Plaxton, C.G.: The online median problem. SIAM Journal on Computing 32, 816–832 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  11. Plaxton, C.G.: Approximation algorithms for hierarchical location problems. Journal of Computer and System Sciences 72, 425–443 (2006)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nagarajan, C., Williamson, D.P. (2011). An Experimental Evaluation of Incremental and Hierarchical k-Median Algorithms. In: Pardalos, P.M., Rebennack, S. (eds) Experimental Algorithms. SEA 2011. Lecture Notes in Computer Science, vol 6630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20662-7_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-20662-7_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20661-0

  • Online ISBN: 978-3-642-20662-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics