Skip to main content

An Exact Algorithm for the Minimal Cost Gateways Location, Capacity and Flow Assignment Problem in Two-Level Hierarchical Wide Area Networks

  • Conference paper
Book cover Computational Science and Its Applications – ICCSA 2007 (ICCSA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4707))

Included in the following conference series:

Abstract

In the paper the problem of designing two-level hierarchical structure of wide area network (WAN) is considered. The goal is to select gateways location, channel capacities and flow routes in order to minimize total cost of leasing capacities of channels of 2nd level network, subject to constraint on maximal acceptable value of average packet delay in hierarchical network. An exact algorithm is proposed. Some results of computational experiments are reported. Based on computational experiments, several properties of the considered problem, important from practical point of view, are formulated.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Kleinrock, L., Kamoun, F.: Optimal Clustering Structures for Hierarchical Topological Network Design of Large Computer Networks. Networks 10, 221–248 (1980)

    Article  MATH  Google Scholar 

  2. Liu, Z., Gu, Y., Medhi, D.: On Optimal Location of Switches/Routers and Interconnection. Technical Report, University of Missouri-Kansas City (1998)

    Google Scholar 

  3. Saha, D., Mukherjee, A.: On the multidensity gateway location problem for multilevel high speed network. Computer Communications 20, 576–585 (1997)

    Article  Google Scholar 

  4. Liang, S.C., Yee, J.R.: Locating Internet Gateways to Minimize Nonlinear Congestion Costs. IEEE Transactions On Communications 42, 2740–2750 (1994)

    Article  Google Scholar 

  5. Ryba, P., Kasprzak, A.: An Approximate Algorithm for the Minimal Cost Gateways Location, Capacity and Flow Assignment in Two-Level Hierarchical Wide Area Networks. In: Alexandrov, V.N., van Albada, G.D., Sloot, P.M.A., Dongarra, J.J. (eds.) ICCS 2006. LNCS, vol. 3991, pp. 100–107. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  6. Ryba, P., Kasprzak, A.: The Gateways Location and Topology Assignment Problem in Hierarchical Wide Area Networks: Algorithms and Computational Results, In: Gavrilova, M., Gervasi, O., Kumar, V., Tan, C.J.K., Taniar, D., Laganà, A., Mun, Y., Choo, H. (eds.) ICCSA 2006. LNCS, vol. 3982, pp. 1100–1109. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  7. Kasprzak, A.: Topological Design of the Wide Area Networks. Wroclaw University of Technology Press, Wroclaw (2001)

    Google Scholar 

  8. Fratta, L., Gerla, M., Kleinrock, L.: The Flow Deviation Method: an Approach to Store-and-Forward Communication Network Design. Networks 3, 97–133 (1973)

    Article  Google Scholar 

  9. Markowski, M., Kasprzak, A.: An exact algorithm for host allocation, capacity and flow assignment problem in WAN. In: WITASI 2002, pp. 73–82. Kluwer Academic Publ, Dordrecht (2002)

    Google Scholar 

  10. Walkowiak, K.: A New Method of Primary Routes Selection for Local Restoration. In: Mitrou, N.M., Kontovasilis, K., Rouskas, G.N., Iliadis, I., Merakos, L. (eds.) NETWORKING 2004. LNCS, vol. 3042, pp. 1024–1035. Springer, Heidelberg (2004)

    Google Scholar 

  11. Markowski, M., Kasprzak, A.: The Web Replica Allocation and Topology Assignment Problem in Wide Area Networks: Algorithms and Computational Results. In: Gervasi, O., Gavrilova, M., Kumar, V., Laganà, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol. 3483, pp. 772–781. Springer, Heidelberg (2005)

    Google Scholar 

  12. Wolsey, L.A.: Integer Programming. Wiley-Interscience, New York (1998)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Osvaldo Gervasi Marina L. Gavrilova

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ryba, P., Kasprzak, A. (2007). An Exact Algorithm for the Minimal Cost Gateways Location, Capacity and Flow Assignment Problem in Two-Level Hierarchical Wide Area Networks. In: Gervasi, O., Gavrilova, M.L. (eds) Computational Science and Its Applications – ICCSA 2007. ICCSA 2007. Lecture Notes in Computer Science, vol 4707. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74484-9_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74484-9_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74482-5

  • Online ISBN: 978-3-540-74484-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics