Hierarchical approach for survivable network design
AbstractA central design challenge facing network planners is how to select a cost-effective network configuration that can provide uninterrupted service despite edge failures. In this paper, we study the Survivable Network Design (SND) problem, a core model underlying the design of such resilient networks that incorporates complex cost and connectivity trade-offs. Given an undirected graph with specified edge costs and (integer) connectivity requirements between pairs of nodes, the SND problem seeks the minimum cost set of edges that interconnects each node pair with at least as many edge-disjoint paths as the connectivity requirement of the nodes. We develop a hierarchical approach for solving the problem that integrates ideas from decomposition, tabu search, randomization, and optimization. The approach decomposes the SND problem into two subproblems, Backbone design and Access design, and uses an iterative multi-stage method for solving the SND problem in a hierarchical fashion. Since both subproblems are NP-hard, we develop effective optimization-based tabu search strategies that balance intensification and diversification to identify near-optimal solutions. To initiate this method, we develop two heuristic procedures that can yield good starting points. We test the combined approach on large-scale SND instances, and empirically assess the quality of the solutions vis-à-vis optimal values or lower bounds. On average, our hierarchical solution approach generates solutions within 2.7% of optimality even for very large problems (that cannot be solved using exact methods), and our results demonstrate that the performance of the method is robust for a variety of problems with different size and connectivity characteristics.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 225 (2013)
Issue (Month): 2 ()
Contact details of provider:
Web page: http://www.elsevier.com/locate/eor
Metaheuristics; Survivable network design; Heuristic analysis; Tabu search;
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Terblanche, S.E. & Wessäly, R. & Hattingh, J.M., 2011. "Survivable network design with demand uncertainty," European Journal of Operational Research, Elsevier, vol. 210(1), pages 10-26, April.
- Costa, Alysson M. & Cordeau, Jean-François & Laporte, Gilbert, 2008. "Fast heuristics for the Steiner tree problem with revenues, budget and hop constraints," European Journal of Operational Research, Elsevier, vol. 190(1), pages 68-78, October.
- Jiefeng Xu & Steve Y. Chiu & Fred Glover, 1999. "Optimizing a Ring-Based Private Line Telecommunication Network Using Tabu Search," Management Science, INFORMS, vol. 45(3), pages 330-345, March.
- Fortz, Bernard & Soriano, Patrick & Wynants, Christelle, 2003. "A tabu search algorithm for self-healing ring network design," European Journal of Operational Research, Elsevier, vol. 151(2), pages 280-295, December.
- Skorin-Kapov, Darko & Skorin-Kapov, Jadranka, 1994. "On tabu search for the location of interacting hub facilities," European Journal of Operational Research, Elsevier, vol. 73(3), pages 502-509, March.
- Naji-Azimi, Zahra & Salari, Majid & Toth, Paolo, 2010. "A heuristic procedure for the Capacitated m-Ring-Star problem," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1227-1234, December.
- Cordeau, Jean-François & Laporte, Gilbert & Pasin, Federico, 2008. "An iterated local search heuristic for the logistics network design problem with single assignment," International Journal of Production Economics, Elsevier, vol. 113(2), pages 626-640, June.
- Tuzun, Dilek & Burke, Laura I., 1999. "A two-phase tabu search approach to the location routing problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 87-99, July.
- Gallo, Mariano & D'Acierno, Luca & Montella, Bruno, 2010. "A meta-heuristic approach for solving the Urban Network Design Problem," European Journal of Operational Research, Elsevier, vol. 201(1), pages 144-157, February.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.