Skip to main content
SpringerLink
Log in

Telecommunications network design with multiple technologies

  • Published:
Telecommunication Systems Aims and scope Submit manuscript

Abstract

In this paper we consider a telecommunications network design problem allowing for multiple technologies. The problem arises in wide-area network and metro-area network design for which a combination of technologies may be necessary due to high traffic volumes, long-distance transmission, and design restrictions. The network design problem builds the best network to channel traffic between a set of origins and destinations, which requires selecting links, equipping them with fiber, deciding on the type of technology, and locating switches. The goal is to minimize the total cost of the network, which accounts for the flow cost, the fiber and technology costs, and the switch-location cost. We model the problem using a multicommodity network design formulation with side constraints. We apply Benders decomposition to the problem and develop a two-phase solution method that uses a number of improvements over the basic Benders algorithm. We present promising results on randomly generated test problems.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ahuja, R. K., Magnanti, T. L., & Orlin, J. B. (1993). Network flows: theory, algorithms, and applications. Englewood Cliffs: Prentice Hall.

    Google Scholar 

  2. Alevras, D., Grötschel, M., & Wessäly, R. (1998). Cost-efficient network synthesis from leased lines. Annals of Operations Research, 76, 1–20.

    Article  Google Scholar 

  3. Avella, P., Mattia, S. & Sassano, A. (2004). Metric inequalities and the network loading problem. In D. Bienstock & G. Nemhauser (Eds.), Proceedings of the 10th international IPCO conference, New York, June 7–11, 2004 (pp. 16-32).

  4. Barnhart, C., Hane, C. A., Johnson, E. L., & Sigismondi, G. (1995). A column generation and partitioning approach for multi-commodity flow problems. Telecommunication Systems, 3, 239–258.

    Article  Google Scholar 

  5. Benders, J. F. (1962). Partitioning procedures for solving mixed integer variables programming problems. Numerische Mathematic, 4, 238–252.

    Article  Google Scholar 

  6. Bienstock, D., & Muratore, G. (2000). Strong inequalities for capacitated survivable network design problems. Mathematical Programming, 89(1), 127–147.

    Article  Google Scholar 

  7. Bienstock, D., Chopra, S., Günlük, O., & Tsai, C.-Y. (1998). Minimum cost capacity installation for multicommodity network flows. Mathematical Programming, 81, 177–199.

    Google Scholar 

  8. Brunetta, L., Conforti, M., & Fischetti, M. (2000). A polyhedral approach to an integer multicommodity flow problem. Discrete Applied Mathematics, 101, 13–36.

    Article  Google Scholar 

  9. Costa, A. M. (2005). A survey on Benders decomposition applied to fixed-charge network design problems. Computers & Operations Research, 32, 1429–1450.

    Article  Google Scholar 

  10. Crainic, T. G., Frangionni, A., & Gendron, B. (2001). Bundle-based relaxation methods for multicommodity capacitated fixed-charge Network design problems. Discrete Applied Mathematics, 112, 73–99.

    Article  Google Scholar 

  11. Dahl, G., & Stoer, M. (1998). A cutting plane algorithm for multicommodity survivable network design problems. INFORMS Journal on Computing, 10(1), 1–11.

    Article  Google Scholar 

  12. Geoffrion, A. M., & Graves, G. W. (1974). Multicommodity distribution system design by Benders decomposition. Management Science, 20, 822–844.

    Article  Google Scholar 

  13. Holmberg, K. (1994). On using approximations of the Benders master problem. European Journal of Operational Research, 77, 111–125.

    Article  Google Scholar 

  14. Holmberg, K., & Yuan, D. (2000). A Lagrangian heuristic based branch-and-bound approach for the capacitated network design problem. Operations Research, 48(3), 461–481.

    Article  Google Scholar 

  15. Holmberg, K., & Yuan, D. (2003). A multicommodity network flow problem with side constraints on paths solved by column generation. INFORMS Journal on Computing, 15(1), 42–57.

    Article  Google Scholar 

  16. Martin, R. K. (1998). Large scale linear and integer optimization: a unified approach. Boston: Kluwer Academic.

    Google Scholar 

  17. Mateus, G. R., & Franqueira, R. V. L. (2000). Model and heuristic for a generalized access network design problem. Telecommunication Systems, 15, 257–271.

    Article  Google Scholar 

  18. McDaniel, D., & Devine, M. (1977). A modified Benders’ partitioning algorithm for mixed integer programming. Management Science, 24, 312–379.

    Article  Google Scholar 

  19. Randazzo, C. D., Luna, H. P. L., & Mahey, P. (2001). Benders decomposition for local access network design with two technologies. Discrete Mathematics and Theoretical Computer Science, 4, 235–246.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Management Sciences, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, N2L 3G1, Canada

    Fatma Gzara

  2. Ozyegin University, Istanbul, Turkey

    Erhan Erkut

Authors
  1. Fatma Gzara
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Erhan Erkut
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Erhan Erkut.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gzara, F., Erkut, E. Telecommunications network design with multiple technologies. Telecommun Syst 46, 149–161 (2011). https://doi.org/10.1007/s11235-010-9278-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11235-010-9278-2

Keywords

Search

Navigation