Abstract
A common telecommunications network design strategy, in order to protect it against failures, is to achieve a decomposition into a set of rings covering the network. We propose a hybrid algorithm for the corresponding Constrained Cycle Cover Problem which draws from constraint programming and graph algorithms. Optimal solutions are obtained efficiently on networks of realistic size.
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A.V. Aho, J.E. Hopcroft and J.D. Ullman, Data Structures and Algorithms (Addison-Wesley, Reading, MA, 1983).
S. Cosares, D.N. Deutsch, I. Saniee and D.J. Wasem, SONET toolkit: a decision support system for designing robust and cost-effective fiber-optic networks, Interfaces 25 (1995) 20-40.
J. Edmonds and E.L. Johnson, Matching Euler tours and the Chinese Postman Problem, Mathematical Programming 5 (1973) 88-124.
H.A. Eiselt, M. Gendreau and G. Laporte, Arc routing problems. Part I: The Chinese Postman Problem, Operations Research 43(2) (1995) 231-242.
M. Gendreau, P. Soriano and L. Salvail, Solving the Maximum Clique Problem using a tabu search approach, Annals of Operations Research 41 (1993) 385-403.
M. Gondran and M. Minoux, Graphes et algorithmes, 2nd edition (Eyrolles, Paris, France, 1985).
M. Labbé, G. Laporte and P. Soriano, Covering a graph with cycles, Computers and Operations Research 25(6) (1998) 499-504.
M. Laguna, Clustering for the design of SONET rings in interoffice telecommunications, Management Science 40 (1994) 1533-1541.
J.-C. Régin, A filtering algorithm for constraints of difference in CSPs, in: Proc. of the Twelfth National Conference on Artificial Intelligence (AAAI-94) (1994) pp. 362-367.
M. Sexton and A. Reid, Transmission Networking: SONET and the Synchronous Digital Hierarchy (Artech House, Boston, MA, 1992).
J. Sosnosky and T.H. Wu, SONET ring applications for survivable fiber loop networks, IEEE Communications Magazine (June 1991) 51-58.
T.H. Wu, D.J. Kolar and R.H. Cardwell, Survivable network architectures for broad-band fiber optic networks: models and performance comparison, IEEE Journal of Lightwave Technology 6 (1988) 1698-1709.
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Pesant, G., Soriano, P. An Optimal Strategy for the Constrained Cycle Cover Problem. Annals of Mathematics and Artificial Intelligence 34, 313–325 (2002). https://doi.org/10.1023/A:1014444525059
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DOI: https://doi.org/10.1023/A:1014444525059