A. S. Thyagaturu, A. Mercian, M. P. Mcgarry, M. Reisslein, and W. Kellerer, Software defined optical networks (SDONs): A comprehensive survey, IEEE Communications Surveys & Tutorials, vol.18, issue.4, pp.2738-2786, 2016.

X. Yu, Y. Zhao, J. Zhang, L. Gao, J. Zhang et al., Spectrum defragmentation implementation based on software defined networking (SDN) in flexi-grid optical networks, International Conference on Computing, Networking and Communications -ICNC, pp.502-505, 2014.

X. Chen, A. Jukan, and A. Gumaste, Optimized parallel transmission in elastic optical networks to support high-speed Ethernet, IEEE/OSA Journal of Lightwave Technology, vol.32, issue.2, pp.228-238, 2014.

, Cisco Visual Networking Index: Forecast and Methodology, 2016.

M. Zhang, C. You, H. Jiang, and Z. Zhu, Dynamic and adaptive bandwidth defragmentation in spectrum-sliced elastic optical networks with time-varying traffic, IEEE/OSA Journal of Lightwave Technology, vol.32, issue.5, pp.1014-1023, 2014.

M. Zhang, C. You, and Z. Zhu, On the parallelization of spectrum defragmentation reconfigurations in elastic optical networks, IEEE/ACM Transactions on Networking, vol.24, issue.5, pp.2819-2833, 2016.

O. Klopfenstein, Rerouting tunnels for MPLS network resource optimization, European Journal of Operational Research, vol.188, issue.1, pp.293-312, 2008.

B. Jaumard, H. Duong, R. Armolavicius, T. Morris, and P. Djukic, Efficient real-time make before break network rerouting, IEEE/OSA Journal of Optical Communications and Networking, vol.11, pp.52-66, 2019.

J. Wu, A survey of WDM network reconfiguration: strategies and triggering method, Computer Networks, vol.55, issue.11, pp.2622-2645, 2011.

W. Golab and R. Boutaba, Policy-driven automated reconfiguration for performance management in WDM optical networks, IEEE Communications Magazine, vol.42, issue.1, pp.44-51, 2003.

B. Jaumard, H. Pouya, and D. Coudert, Make-before-break wavelength defragmentation, 20th International Conference on Transparent Optical Networks (ICTON), pp.1-5, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01883689

D. Coudert and J. Sereni, Characterization of graphs and digraphs with small process number, Discrete Applied Mathematics, vol.159, issue.11, pp.1094-1109, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00171083

G. Mohan and C. S. Murthy, A time optimal wavelength rerouting algorithm for dynamic traffic in WDM networks, IEEE/OSA Journal of Lightwave Technology, vol.17, issue.3, p.406, 1999.

M. Jinno, H. Takara, B. Kozicki, Y. Tsukishima, Y. Sone et al., Spectrumefficient and scalable elastic optical path network: architecture, benefits, and enabling technologies, IEEE Journal of Communications Magazine, vol.47, pp.66-73, 2009.

F. Cugini, F. Paolucci, G. Meloni, G. Berrettini, M. Secondini et al., Push-pull defragmentation without traffic disruption in flexible grid optical networks, IEEE/OSA Journal of Lightwave Technology, vol.31, issue.1, pp.125-133, 2013.

T. Miyamura, E. Oki, I. Inoue, and K. Shiomoto, Enhancing bandwidth on demand service based on virtual network topology control, IEEE Network Operations and Management Symposium -NOMS, pp.201-206, 2008.

N. Jose and A. K. Somani, Connection rerouting/network reconfiguration, IEEE Conference on Design of Reliable Communication Networks -DRCN, pp.23-30, 2003.

D. Coudert, F. Huc, D. Mazauric, N. Nisse, and J. Sereni, Reconfiguration of the routing in WDM networks with two classes of services, Conference on Optical Network Design and Modeling -ONDM, pp.1-6, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00423453

S. Belhareth, D. Coudert, D. Mazauric, N. Nisse, and I. Tahiri, Reconfiguration with physical constraints in WDM networks, IEEE International Conference on Communications -ICC, pp.6257-6261, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00654111

F. Solano, Analyzing two different objectives of the WDM lightpath reconfiguration problem, IEEE Global Telecommunications Conference -GLOBECOM, pp.6491-6497, 2009.

F. Palmieri, U. Fiore, and S. Ricciardi, A GRASP-based network re-optimization strategy for improving RWA in multi-constrained optical transport infrastructures, Computer Communications, vol.33, issue.15, pp.1809-1822, 2010.

Y. Takita, K. Tajima, T. Hashiguchi, and T. Katagiri, Wavelength defragmentation for seamless service migration, Journal of Optical Communications and Networking, vol.9, issue.2, pp.154-161, 2017.

Y. Zhang, M. Murata, H. Takagi, and Y. Ji, Traffic-based reconfiguration for logical topologies in large-scale WDM optical networks, IEEE/OSA Journal of Lightwave Technology, vol.23, issue.10, p.2854, 2005.

B. Jaumard and M. , Efficient spectrum utilization in large scale RWA problems, IEEE/ACM Transactions on Networking, vol.25, pp.1263-1278, 2017.

M. Swaminathan and K. N. Sivarajan, Practical routing and wavelength assignment algorithms for all optical networks with limited wavelength conversion, IEEE International Conference on Communications -ICC, vol.5, pp.2750-2755, 2002.

K. Lee, K. C. Kang, T. Lee, and S. Park, An optimization approach to routing and wavelength assignment in WDM all-optical mesh networks without wavelength conversion, ETRI journal, vol.24, issue.2, pp.131-141, 2002.

D. Coudert and H. Rivano, Lightpath assignment for multifibers WDM networks with wavelength translators, IEEE Global Telecommunications Conference -GLOBECOM, vol.3, pp.2686-2690, 2002.
URL : https://hal.archives-ouvertes.fr/inria-00072101

R. Ramaswami and K. N. Sivarajan, Routing and wavelength assignment in all-optical networks, IEEE/ACM Transactions on Networking, vol.3, issue.5, pp.489-500, 1995.

I. Chlamtac, A. Ganz, and G. Karmi, Lightpath communications: An approach to high bandwidth optical WAN's, IEEE transactions on communications, vol.40, issue.7, pp.1171-1182, 1992.

S. H. Ngo, X. Jiang, and S. Horiguchi, An ant-based approach for dynamic RWA in optical WDM networks, Photonic Network Communications, vol.11, issue.1, pp.39-48, 2006.

N. Jose and K. Somani, Connection rerouting/network reconfiguration, IEEE Conference on Design of Reliable Communication Networks -DRCN, pp.23-30, 2003.

R. Tarjan, Depth-first search and linear graph algorithms, SIAM journal on computing, vol.1, issue.2, pp.146-160, 1972.

V. , Linear Programming, 1983.

B. Jaumard, C. Meyer, and B. Thiongane, On column generation formulations for the RWA problem, Discrete Applied Mathematics, vol.157, pp.1291-1308, 2009.

C. Cooper and A. Frieze, The size of the largest strongly connected component of a random digraph with a given degree sequence, Combinatorics, Probability and Computing, vol.13, issue.3, pp.319-337, 2004.

Z. Zhu, W. Lu, L. Zhang, and N. Ansari, Dynamic service provisioning in elastic optical networks with hybrid single-/multi-path routing, IEEE/OSA Journal of Lightwave Technology, vol.31, issue.1, pp.15-22, 2013.