Approximation algorithms for the design of SDH/SONET networks
Nadia Brauner; Yves Crama; Gerd Finke; Pierre Lemaire; Christelle Wynants[1]
- [1] Electrabel Quantitive Analysis, 8 boulevard du Régent, 1000 Brussels, Belgique
RAIRO - Operations Research - Recherche Opérationnelle (2003)
- Volume: 37, Issue: 4, page 235-247
- ISSN: 0399-0559
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topBrauner, Nadia, et al. "Approximation algorithms for the design of SDH/SONET networks." RAIRO - Operations Research - Recherche Opérationnelle 37.4 (2003): 235-247. <http://eudml.org/doc/245801>.
@article{Brauner2003,
abstract = {In this paper, a graph partitioning problem that arises in the design of SONET/SDH networks is defined and formalized. Approximation algorithms with performance guarantees are presented. To solve this problem efficiently in practice, fast greedy algorithms and a tabu-search method are proposed and analyzed by means of an experimental study.},
affiliation = {Electrabel Quantitive Analysis, 8 boulevard du Régent, 1000 Brussels, Belgique},
author = {Brauner, Nadia, Crama, Yves, Finke, Gerd, Lemaire, Pierre, Wynants, Christelle},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {graph partitioning; approximations; heuristics; tabu; SONET/SDH networks},
language = {eng},
number = {4},
pages = {235-247},
publisher = {EDP-Sciences},
title = {Approximation algorithms for the design of SDH/SONET networks},
url = {http://eudml.org/doc/245801},
volume = {37},
year = {2003},
}
TY - JOUR
AU - Brauner, Nadia
AU - Crama, Yves
AU - Finke, Gerd
AU - Lemaire, Pierre
AU - Wynants, Christelle
TI - Approximation algorithms for the design of SDH/SONET networks
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 2003
PB - EDP-Sciences
VL - 37
IS - 4
SP - 235
EP - 247
AB - In this paper, a graph partitioning problem that arises in the design of SONET/SDH networks is defined and formalized. Approximation algorithms with performance guarantees are presented. To solve this problem efficiently in practice, fast greedy algorithms and a tabu-search method are proposed and analyzed by means of an experimental study.
LA - eng
KW - graph partitioning; approximations; heuristics; tabu; SONET/SDH networks
UR - http://eudml.org/doc/245801
ER -
References
top- [1] R. Aringhieri and M. Dell’Amico, A Variable-Neighborhood Variable-Objective Tabu Search Algorithm for the SONET Ring Assignment with Capacity Constraints. DISMI, Università di Modena e Reggio Emilia, 10 (2001).
- [2] N. Brauner, Y. Crama, P. Lemaire and C. Wynants, Complexité et approximation pour la conception de réseaux SONET/SDH. Technical Report 61, Les Cahiers du Laboratoire Leibniz-IMAG, (October 2002). http://www-leibniz.imag.fr/LesCahiers/
- [3] N. Brauner and P. Lemaire, A Set-Covering Approach for SONET Network Design. Technical Report 62, Les Cahiers du Laboratoire Leibniz-IMAG (October 2002). http://www-leibniz.imag.fr/LesCahiers/
- [4] V. Chvátal, A Greedy Heuristic for the Set-Covering Problem. Math. Oper. Res. 4 (1979) 233-235. Zbl0443.90066MR539404
- [5] ETSI. ETSI – Telecom Standards. http://www.etsi.org
- [6] ETSI. Transmission and Multiplexing (TM); Synchronous Digital Hierarchy (SDH); Network protection schemes; Rings and other schemes. Technical specification (November 1997). ref: TS 101 010 v1.1.1.
- [7] ETSI. Transmission and Multiplexing (TM); Synchronous Digital Hierarchy (SDH); Network protection schemes; Types and characteristics. Technical specification (November 1997). ref: TS 101 009 v1.1.1.
- [8] B. Fortz, P. Soriano and C. Wynants, A Tabu Search Algorithm for Self-Healing Ring Network Design. Eur. J. Oper. Res. 151 (2003). Zbl1053.90020MR2014077
- [9] M.R. Garey and D.S. Johnson, Computers and Intractability (A Guide to the Theory of NP-Completeness). W.H. Freeman And Company (1979). Zbl0411.68039MR519066
- [10] F. Glover and M. Laguna, Modern Heuristic Techniques for Combinatorial Problems, Chapter 3: Tabu Search. C.R. Reeves, Blackwell Scientific Publications edition (1993). MR1230642
- [11] F. Glover and M. Laguna, Tabu Search. Kluwer Academic Publishers, London (1997). Zbl0930.90083MR1665424
- [12] O. Goldschmidt, D.S. Hochbaum, A. Levin and E.V. Olinick, The SONET Edge-Partition Problem. Networks 41 (2003) 13-23. Zbl1026.90076MR1946893
- [13] O. Goldschmidt, A. Laugier and E.V. Olinick, SONET/SDH Ring Assignment with Capacity Constraints. Discrete Appl. Math. 129 (2003) 99-128. Zbl1023.68003MR1989013
- [14] I. Holyer, The NP-completeness of some edge-partition problems. SIAM J. Comput. 4 (1981) 713-717. Zbl0468.68069MR635429
- [15] D.S. Johnson, A. Demers, J.D. Ullman, M.R. Garey and R.L. Graham, Worst-case performance bounds for simple one-dimensional packing algorithms. SIAM J. Comput. 3 (1974) 299-325. Zbl0297.68028MR434396
- [16] S. Khanna, A Polynomial Time Approximation Scheme for the SONET Ring Loading Problem. Bell Labs Technical Journal (1997) 36-41.
- [17] M. Laguna, Clustering for the Design of SONET Rings in Interoffice Telecommunications. Manage. Sci. 40 (1994) 1533-1541. Zbl0823.90040
- [18] Y. Lee, H.D. Sherali, J. Han and S. Kim, A branch-and-cut algorithm for solving an intraring synchronous optical network design problem. Networks 35 (2000) 223-232. Zbl0985.90093MR1764882
- [19] P. Lemaire, Optimisation de réseaux SONET/SDH : éléments théoriques et résolution pratique (juin 2001). Mémoire de DEA.
- [20] S. Masuyama and T. Ibaraki, Chain Packing in Graphs. Algorithmica 6 (1991) 826-839. Zbl0731.68088MR1134432
- [21] D. Mili, Self-Healing Ring Architectures for SONET Network Applications. http://www.doc.ic.ac.uk/nd/surprise96/journal/vol2/dm9/article2.html
- [22] A. Schrijver, P. Seymour and P. Winkler, The Ring Loading Problem. SIAM J. Discrete Math. 11 (1998) 1–14. Zbl0910.90135
- [23] A. Sutter, F. Vanderbeck and L.A. Wolsey, Optimal Placement of Add/Drop Multiplexers: Heuristic and Exact Algorithms. Oper. Res. 46 (1998) 719-728. Zbl0987.90014
- [24] T.-H. Wu, Fiber Network Service Survivability. Artech House, Inc. (1992).
- [25] The SONET Home Page. http://www.sonet.com
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