Abstract
We address the logical topology design problem (LTD) in WDM transport networks under static traffic assumptions. We start with one of the standard MILP formulations of the LTD problem that aims at optimizing the network congestion. We propose an improvement to this model that additionally optimizes the average hop count. We then derive a new MILP model that compels the traffic to be atomically routed. This last model enables fair comparisons of solutions obtained with MILP formulations and with metaheuristic algorithms. The latter allow us to deal with large size networks whereas the former are limited by their computational complexity. In this paper Tabu Search is used to tackle the LTD problem. We compare and discuss the logical topologies computed by the various methods described in the paper.
This work has been funded by Alcatel R & I, Marcoussis, France under Grant No. CI 578. Nicolas Puech has been funded by the French National Educational System (Education Nationale) and the University Paris 5 in the form of a sabbatical. Nicolas Puech would like to express his thanks to Mrs. Dominique Gascon (Director) and Mr. Serge Blumenthal (Statistics Department), both from the I.U.T., University Paris 5, France, for having decided in favor of his sabbatical. Josué Kuri has been partially supported by CONACyT Grant No. 122688.
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Eurescom. Planning of Optical Networks. Deliverable 3 Project P709, Eurescom, 2000.
E. Leonardi, M. Mellia, and M. Ajmone Marsan. Algorithms for the logical topology design in WDM all-optical networks. Optical Networks Magazine, 1(1):35–46, 2000.
IBM Spatial and Optimization Solutions. IBM’s Optimization Solutions and Library, version 3.
J. Kuri, N. Puech, and M. Gagnaire. Resolution of a WDM optical network design problem using a decomposition approach and a size reduction method. ECUMN 2002, Colmar, France, 2002.
M. Mellia, A. Nucci, A. Grosso, E. Leonardi, and M. Ajmone Marsan. Optimal design of logical topologies in wavelength-routed optical networks with multicast traffic. In Proceedings of INFOCOM 2001. IEEE Communications Society, 2001.
R. Caberlon, W. Floris, and N. Puech. Logical topology design: a case study. Private communication, École Nationale Supérieure des télécommunications, 2001.
M. Ammar, S. Cheung, C. Scoglio, I. Chlamtac, A. Faragó, and T. Zhang. Virtual path network design. In J. Roberts, U. Mocci, and J. Virtamo, editors, Broadband Network Teletraffic. Final report of action COST 242, pages 271–299. Springer-Verlag, Berlin Heidelberg, 1996.
R. Ramaswami and K. N. Sivarajan. Design of logical topologies for wavelength-routed optical networks. IEEE Journal on Selected Areas in Communications, 14(5):840–851, 1996.
B. Mukherjee, D. Banerjee, S. Ramamurthy, and A. Mukherjee. Some principles for designing a wide-area WDM optical network. IEEE/ACM Transactions on Networking, 4(5):684–696, 1996.
D. Banerjee and B. Mukherjee. Wavelength-routed optical networks: Linear formulation, resource budgeting tradeoffs, and a reconfiguration study. IEEE/ACM Transactions on Networking, 8(5):598–607, 2000.
R. Krishnaswamy and K. Sivarajan. Design of logical topologies: A linear formulation for wavelength-routed optical networks with no wavelength changers. IEEE/ACM Transactions on Networking, 9(2):186–198, 2001.
F. Glover and M. Laguna. Tabu Search. Kluwer Academic Publishers, Boston, MA, 1997.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Puech, N., Kuri, J., Gagnaire, M. (2002). Models for the Logical Topology Design Problem. In: Gregori, E., Conti, M., Campbell, A.T., Omidyar, G., Zukerman, M. (eds) NETWORKING 2002: Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; Mobile and Wireless Communications. NETWORKING 2002. Lecture Notes in Computer Science, vol 2345. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47906-6_24
Download citation
DOI: https://doi.org/10.1007/3-540-47906-6_24
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43709-3
Online ISBN: 978-3-540-47906-2
eBook Packages: Springer Book Archive