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.
@article{RO_2003__37_4_235_0, author = {Brauner, Nadia and Crama, Yves and Finke, Gerd and Lemaire, Pierre and Wynants, Christelle}, title = {Approximation algorithms for the design of {SDH/SONET} networks}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {235--247}, publisher = {EDP-Sciences}, volume = {37}, number = {4}, year = {2003}, doi = {10.1051/ro:2004003}, mrnumber = {2064600}, zbl = {1092.90011}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro:2004003/} }
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 SP - 235 EP - 247 VL - 37 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro:2004003/ DO - 10.1051/ro:2004003 LA - en ID - RO_2003__37_4_235_0 ER -
%0 Journal Article %A Brauner, Nadia %A Crama, Yves %A Finke, Gerd %A Lemaire, Pierre %A Wynants, Christelle %T Approximation algorithms for the design of SDH/SONET networks %J RAIRO - Operations Research - Recherche Opérationnelle %D 2003 %P 235-247 %V 37 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro:2004003/ %R 10.1051/ro:2004003 %G en %F RO_2003__37_4_235_0
Brauner, Nadia; Crama, Yves; Finke, Gerd; Lemaire, Pierre; Wynants, Christelle. Approximation algorithms for the design of SDH/SONET networks. RAIRO - Operations Research - Recherche Opérationnelle, Tome 37 (2003) no. 4, pp. 235-247. doi : 10.1051/ro:2004003. http://www.numdam.org/articles/10.1051/ro:2004003/
[1] 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).
and ,[2] 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/
, , and ,[3] 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/
and ,[4] A Greedy Heuristic for the Set-Covering Problem. Math. Oper. Res. 4 (1979) 233-235. | MR | Zbl
,[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] A Tabu Search Algorithm for Self-Healing Ring Network Design. Eur. J. Oper. Res. 151 (2003). | MR | Zbl
, and ,[9] Computers and Intractability (A Guide to the Theory of NP-Completeness). W.H. Freeman And Company (1979). | MR | Zbl
and ,[10] Modern Heuristic Techniques for Combinatorial Problems, Chapter 3: Tabu Search. C.R. Reeves, Blackwell Scientific Publications edition (1993). | MR
and ,[11] Tabu Search. Kluwer Academic Publishers, London (1997). | MR | Zbl
and ,[12] The SONET Edge-Partition Problem. Networks 41 (2003) 13-23. | MR | Zbl
, , and ,[13] SONET/SDH Ring Assignment with Capacity Constraints. Discrete Appl. Math. 129 (2003) 99-128. | MR | Zbl
, and ,[14] The NP-completeness of some edge-partition problems. SIAM J. Comput. 4 (1981) 713-717. | MR | Zbl
,[15] Worst-case performance bounds for simple one-dimensional packing algorithms. SIAM J. Comput. 3 (1974) 299-325. | MR | Zbl
, , , and ,[16] A Polynomial Time Approximation Scheme for the SONET Ring Loading Problem. Bell Labs Technical Journal (1997) 36-41.
,[17] Clustering for the Design of SONET Rings in Interoffice Telecommunications. Manage. Sci. 40 (1994) 1533-1541. | Zbl
,[18] A branch-and-cut algorithm for solving an intraring synchronous optical network design problem. Networks 35 (2000) 223-232. | MR | Zbl
, , and ,[19] Optimisation de réseaux SONET/SDH : éléments théoriques et résolution pratique (juin 2001). Mémoire de DEA.
,[20] Chain Packing in Graphs. Algorithmica 6 (1991) 826-839. | MR | Zbl
and ,[21] Self-Healing Ring Architectures for SONET Network Applications
,[22] The Ring Loading Problem. SIAM J. Discrete Math. 11 (1998) 1-14. | Zbl
, and ,[23] Optimal Placement of Add/Drop Multiplexers: Heuristic and Exact Algorithms. Oper. Res. 46 (1998) 719-728. | Zbl
, and ,[24] Fiber Network Service Survivability. Artech House, Inc. (1992).
,[25] The SONET Home Page. http://www.sonet.com
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