Skip to main content

The Online Transportation Problem: On the Exponential Boost of One Extra Server

  • Conference paper
LATIN 2008: Theoretical Informatics (LATIN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4957))

Included in the following conference series:

Abstract

We present a poly-log-competitive deterministic online algorithm for the online transportation problem on hierarchically separated trees when the online algorithm has one extra server per site. Using metric embedding results in the literature, one can then obtain a poly-log-competitive randomized online algorithm for the online transportation on an arbitrary metric space when the online algorithm has one extra server per site.

Supported in part by NSF grants CNS-0325353, CCF-0514058 and IIS-0534531.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Bartal, Y.: On approximating arbitrary metrics by tree metrics. In: ACM Symposium on Theory of Computing, pp. 161–168 (1998)

    Google Scholar 

  2. Charikar, M., Chekuri, C., Goel, A., Guha, S., Plotkin, S.: Approximating a finite metric by a small number of tree metrics. In: Symposium on Foundations of Computer Science, p. 379 (1998)

    Google Scholar 

  3. Csaba, B., Pluhar, A.: A randomized algorithm for the on-line weighted bipartite matching problem. Journal of Scheduling (to appear)

    Google Scholar 

  4. Fakcharoenphol, J., Rao, S., Talwar, K.: A tight bound on approximating arbitrary metrics by tree metrics. Journal of Computer and System Sciences Special Issue on STOC 2003 69(3), 485–497 (2004)

    MATH  MathSciNet  Google Scholar 

  5. Gupta, A., Hajiaghayi, M.T., Räcke, H.: Oblivious network design. In: ACM-SIAM Symposium on Discrete Algorithms, pp. 970–979 (2006)

    Google Scholar 

  6. Kalyanasundaram, B., Pruhs, K.: Online weighted matching. Journal of Algorithms 14(3), 478–488 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  7. Kalyanasundaram, B., Pruhs, K.: On-line network optimization problems. In: Developments from a June 1996 seminar on Online Algorithms, pp. 268–280. Springer, Heidelberg (1998)

    Google Scholar 

  8. Kalyanasundaram, B., Pruhs, K.R.: The online transportation problem. SIAM Journal of Discrete Mathematics 13(3), 370–383 (2000)

    Article  MathSciNet  Google Scholar 

  9. Kennington, J.L., Helgason, R.V.: Algorithms for Network Programming. John Wiley & Sons, Inc., New York, NY, USA (1980)

    MATH  Google Scholar 

  10. Khuller, S., Mitchell, S.G., Vazirani, V.V.: On-line algorithms for weighted bipartite matching and stable marriages. Theoretical Computer Science 127(2), 255–267 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  11. Lawler, E.: Combinatorial Optimization: Networks and Matroids. Holt, Rinehart & Winston, New York (1976)

    MATH  Google Scholar 

  12. Meyerson, A., Nanavati, A., Poplawski, L.: Randomized online algorithms for minimum metric bipartite matching. In: ACM-SIAM Symposium on Discrete Algorithms, pp. 954–959 (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Eduardo Sany Laber Claudson Bornstein Loana Tito Nogueira Luerbio Faria

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Chung, C., Pruhs, K., Uthaisombut, P. (2008). The Online Transportation Problem: On the Exponential Boost of One Extra Server. In: Laber, E.S., Bornstein, C., Nogueira, L.T., Faria, L. (eds) LATIN 2008: Theoretical Informatics. LATIN 2008. Lecture Notes in Computer Science, vol 4957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78773-0_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-78773-0_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78772-3

  • Online ISBN: 978-3-540-78773-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics