The Two-Criteria Gateways Location and Topology Assignment Problem in Hierarchical WANs: An Exact Algorithm and Computational Results

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5073)


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, topology of 2nd level network, channel capacities and flow routes in order to minimize linear combination of the total average delay per packet and the total cost of leasing capacities of channels of 2nd level network, subject to budget constraint. An exact algorithm based on branch and bound method is proposed. Some results of computational experiments are reported. Relying on computational experiments, several properties of the considered problem, important from practical point of view, are formulated.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Kleinrock, L., Kamoun, F.: Optimal Clustering Structures for Hierarchical Topological Network Design of Large Computer Networks. Networks 10, 221–248 (1980)zbMATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Kasprzak, A.: Topological Design of the Wide Area Networks. Wroclaw University of Technology Press, Wroclaw (2001)Google Scholar
  3. 3.
    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
  4. 4.
    Liu, Z., Gu, Y., Medhi, D.: On Optimal Location of Switches/Routers and Interconnection. Technical Report, University of Missouri-Kansas City (1998)Google Scholar
  5. 5.
    Saha, D., Mukherjee, A.: On the multidensity gateway location problem for multilevel high speed network. Computer Communications 20, 576–585 (1997)CrossRefGoogle Scholar
  6. 6.
    Liang, S.C., Yee, J.R.: Locating Internet Gateways to Minimize Nonlinear Congestion Costs. IEEE Transactions On Communications 42, 2740–2750 (1994)CrossRefGoogle Scholar
  7. 7.
    Ryba, P., Kasprzak, A.: The Gateways Location and Topology Assignment Problem in Hierarchical Wide Area Networks: Algorithms and Computational Results. In: Gavrilova, M.L., Gervasi, O., Kumar, V., Tan, C.J.K., Taniar, D., Laganá, A., Mun, Y., Choo, H. (eds.) ICCSA 2006. LNCS, vol. 3982, pp. 1100–1109. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  8. 8.
    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. (eds.) ICCS 2006. LNCS, vol. 3991. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  9. 9.
    Ryba, P., Kasprzak, A.: An Exact Algorithm for The Minimal Cost Gateways Location, Capacity and Flow Assignment Problem. In: Gervasi, O., Gavrilova, M.L. (eds.) ICCSA 2007, Part III. LNCS, vol. 4707, pp. 343–352. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  10. 10.
    Fratta, L., Gerla, M., Kleinrock, L.: The Flow Deviation Method: an Approach to Store-and-Forward Communication Network Design. Networks 3, 97–133 (1973)zbMATHCrossRefMathSciNetGoogle Scholar
  11. 11.
    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
  12. 12.
    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.L., Kumar, V., Laganá, 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
  13. 13.
    Wolsey, L.A.: Integer Programming. Wiley-Interscience, New York (1998)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  1. 1.Chair of Systems and Computer NetworksWroclaw University of TechnologyWroclawPoland

Personalised recommendations