K. I. Aardal, M. Labbé, J. Leung, and M. Queyranne, On the two-level uncapacitated facility location problem, 1995.
URL : https://hal.archives-ouvertes.fr/hal-01255629

O. Abdelkhalik and D. Mortari, N-impulse orbit transfer using genetic algorithms, Journal of Spacecraft and Rockets, vol.44, pp.456-459, 2007.

, Greenhouse gas equivalencies calculator, 2011.

R. Agrawal and J. Xu, Gas-separation membrane cascades utilizing limited numbers of compressors, AIChE Journal, vol.42, issue.8, pp.2141-2154, 1996.

R. K. Ahuja, T. L. Magnanti, and J. B. Orlin, Network Flows: Theory, Algorithms, and Applications, 1993.

B. Aksanli, J. Venkatesh, L. Zhang, and T. Rosing, Utilizing green energy prediction to schedule mixed batch and service jobs in data centers, Proceedings of the 4th Workshop on Power-Aware Computing and Systems, HotPower '11, 2011.

A. Aldraho and A. Kist, Enabling energy efficient and resilient networks using dynamic topologies, Sustainable Internet and ICT for Sustainability (SustainIT), pp.1-8, 2012.

A. Aliaga-vicente, J. A. Caballero, and M. J. Fernandez-torres, Synthesis and optimization of membrane cascade for gas separation via mixed-integer nonlinear programming, AIChE Journal, vol.63, issue.6, 1989.

Z. Allybokus, N. Perrot, J. Leguay, L. Maggi, and E. Gourdin, Virtual function placement for service chaining with partial orders and anti-affinity rules, 2017.

E. Amaldi, A. Capone, S. Coniglio, and L. G. Gianoli, Energy-aware traffic engineering with elastic demands and MMF bandwidth allocation, IEEE 18th International Workshop on Computer Aided Modeling and Design of Communication Links and Networks (CAMAD), pp.169-174, 2013.

, Amazon Inc. AWS Elastic Beanstalk

A. Andrae and T. Edler, On global electricity usage of communication technology: Trends to 2030, Challenges, vol.6, issue.1, pp.117-157, 2015.

D. Ardagna, S. Casolari, M. Colajanni, and B. Panicucci, Dual time-scale distributed capacity allocation and load redirect algorithms for cloud systems, J. of Parallel and Distr. Computing, vol.72, issue.6, pp.796-808, 2012.

A. M. Arias, M. C. Mussati, P. L. Mores, N. J. Scenna, J. A. Caballero et al., Optimization of multi-stage membrane systems for CO2 capture from flue gas, International Journal of Greenhouse Gas Control, vol.53, pp.371-390, 2016.

M. Armbrust, A. Fox, R. Griffith, A. D. Joseph, R. Katz et al., Ariel Rabkin, Ion Stoica, and Matei Zaharia. A view of cloud computing, Commun. ACM, vol.53, issue.4, pp.50-58, 2010.

A. Assad, Multicommodity network flows -a survey, Networks, vol.8, issue.1, pp.37-91, 1978.

S. Avallone and G. Ventre, Energy efficient online routing of flows with additive constraints, Computer Networks, vol.56, issue.10, pp.2368-2382, 2012.

P. Avella, S. Mattia, and A. Sassano, Metric inequalities and the network loading problem, Disc. Opt, vol.4, pp.103-114, 2007.

M. F. Bari, S. R. Chowdhury, R. Ahmed, and R. Boutaba, On orchestrating virtual network functions, 11th International Conference on Network and Service Management (CNSM), pp.50-56, 2015.

A. Batterman, J. M. Gablonsky, A. Patrick, C. T. Kelley, K. R. Kavanagh et al., Solution of a groundwater control problem with implicit filtering, Optimization and Engineering, vol.3, issue.2, pp.189-199, 2002.

A. Ben-tal, L. E. Ghaoui, and A. Nemirovski, Robust optimization, 2009.

D. Bertsimas, D. B. Brown, and C. Caramanis, Theory and applications of robust optimization, SIAM review, vol.53, issue.3, pp.464-501, 2011.

D. Bertsimas and M. Sim, The price of robustness, Operations Research, vol.52, issue.1, pp.35-53, 2004.

R. Bhandari, Survivable networks -Algorithms for diverse routing, 1999.

T. Lorenz, Y. Biegler, L. Dong, and W. Lin, Multi-scale optimization for process systems engineering, Computers & Chemical Engineering, vol.60, pp.17-30, 2014.

D. Bienstock and S. Mattia, Using mixed-integer programming to solve power grid blackout problems, Disc. Opt, vol.4, pp.115-141, 2007.

R. Birke, L. Y. Chen, and E. Smirni, Data centers in the cloud: A large scale performance study, IEEE CLOUD, 2012.

D. V. Boll, J. Donovan, R. L. Graham, and B. D. Lubachevsky, Improving dense packings of equal disks in a square, The Electronic Journal of Combinatorics, vol.7, issue.R46, pp.1-9, 2000.

R. Bolla, R. Bruschi, A. Carrega, F. Davoli, D. Suino et al., Cutting the energy bills of internet service providers and telecoms through power management: An impact analysis, Computer Networks, vol.56, issue.10, pp.2320-2342, 2012.

Q. Botton, B. Fortz, L. Gouveia, and M. Poss, Benders decomposition for the hopconstrained survivable network design problem, INFORMS J. Comput, vol.25, pp.13-26, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01255255

M. Bouet, J. Leguay, and V. Conan, Cost-based placement of vDPI functions in NFV infrastructures, Proceedings of the 2015 1st IEEE Conference on Network Softwarization (NetSoft), pp.1-9, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01307010

R. Bounaceur, E. Berger, M. Pfister, A. A. Ramirez-santos, and E. Favre, Rigorous variable permeability modelling and process simulation for the design of polymeric membrane gas separation units: Memsic simulation tool, Journal of Membrane Science, vol.523, pp.77-91, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01412812

S. Boyd and L. Vandenberghe, Convex Optimization, 2004.

R. H. Byrd, J. Nocedal, and R. A. Waltz, Knitro: An integrated package for nonlinear optimization, Large-Scale Nonlinear Optimization, pp.35-59, 2006.

K. , L. C. Lee, and S. Park, Benders decomposition approach for the robust network design problem with flow bifurcations, Networks, vol.62, issue.1, pp.1-16, 2013.

C. Canali and R. Lancellotti, Automated clustering of vms for scalable cloud monitoring and management, Software, Telecommunications and Computer Networks (SoftCOM), 2012.

C. Canali and R. Lancellotti, Automated clustering of virtual machines based on correlation of resource usage, Journal of Communications Software and Systems (JCOMSS), vol.8, issue.4, 2013.

J. C. Cardona-restrepo, C. G. Gruber, and C. Mas-machuca, Energy profile aware routing, 2009 IEEE International Conference on Communications Workshops, pp.1-5, 2009.

D. Carrera, M. Steinder, I. Whalley, J. Torres, and E. Ayguadé, Autonomic placement of mixed batch and transactional workloads, IEEE Trans. Parallel Distrib. Syst, vol.23, issue.2, pp.219-231, 2012.

L. G. Casado, I. Garcia, P. Szabö, and T. Csendes, Equal circles packing in square II: new results for up to 100 circles using the TAMSASS-PECS algorithm, Optimization Theory: Recent developements from Mátraháza, pp.207-224, 1998.

S. Casolari and M. Colajanni, Short-term prediction models for server management in internet-based contexts, Decision Support Systems, vol.48, issue.1, 2009.

A. Cassioli, D. D. Lorenzo, M. Locatelli, F. Schoen, and M. Sciandrone, Machine learning for global optimization, Computational Optimization and Applications, vol.51, issue.1, pp.279-303, 2012.

I. Castillo, F. J. Kampas, and J. D. Pinter, Solving circle packing problems by global optimization: Numerical results and industrial applications, European Journal of Operational Research, 2006.

J. Chabarek, J. Sommers, P. Barford, C. Estan, D. Tsiang et al., Power awareness in network design and routing, IEEE INFOCOM -The 27th Conference on Computer Communications, pp.457-465, 2008.

Q. Chen and I. E. Grossmann, Recent developments and challenges in optimizationbased process synthesis, Annual Review of Chemical and Biomolecular Engineering, vol.8, issue.1, pp.249-283, 2017.

L. Chiaraviglio, A. Cianfrani, A. Coiro, M. Listanti, and M. Polverini, Green routing switching and transport, Green Communications: Principles, Concepts and Practice, chapter 13, pp.257-276, 2015.

L. Chiaraviglio, D. Ciullo, M. Mellia, and M. Meo, Modeling sleep modes gains with random graphs, 2011 IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS), pp.355-360, 2011.

L. Chiaraviglio, D. Ciullo, M. Mellia, and M. Meo, Modeling sleep mode gains in energy-aware networks, Computer Networks, vol.57, issue.15, pp.3051-3066, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00759403

L. Chiaraviglio, M. Mellia, and F. Neri, Energy-aware networks: Reducing power consumption by switching off network elements, FEDERICA-Phosphorus tutorial and workshop (TNC2008). Citeseer, 2008.

L. Chiaraviglio, M. Mellia, and F. Neri, Energy-aware backbone networks: A case study, 2009 IEEE International Conference on Communications Workshops, pp.1-5, 2009.

L. Chiaraviglio, M. Mellia, and F. Neri, Reducing power consumption in backbone networks, 2009 IEEE International Conference on Communications, pp.1-6, 2009.

L. Chiaraviglio, M. Mellia, and F. Neri, Minimizing ISP Network Energy Cost: Formulation and Solutions, IEEE/ACM Transactions on Networking, vol.20, issue.2, pp.463-476, 2012.

T. D. Choi and C. T. Kelley, Superlinear convergence and implicit filtering, SIAM Journal on Optimization, vol.10, issue.4, pp.1149-1162, 2000.

K. Christensen, P. Reviriego, B. Nordman, M. Bennett, M. Mostowfi et al., Ieee 802.3az: the road to energy efficient ethernet, IEEE Communications Magazine, vol.48, issue.11, pp.50-56, 2010.

I. Contreras and E. Fernández, General network design: A unified view of combined location and network design problems, European Journal of Operational Research, vol.219, issue.3, pp.680-697, 2012.

D. Coudert, A. M. Koster, T. K. Phan, and M. Tieves, Robust redundancy elimination for energy-aware routing, 2013 IEEE International Conference on Green Computing and Communications and IEEE Internet of Things and IEEE Cyber, pp.179-186, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00862018

H. G. Croft, K. J. Falconer, and R. K. Guy, Unsolved problems in Geometry, 1991.

B. Dachwald, Optimization of interplanetary solar sailcraft trajectories using evolutionary neurocontrol, AIAA Journal of Guidance, Control, and Dynamics, vol.27, pp.66-72, 2004.

C. De-groot, R. Peikert, D. Würtz, and M. Monagan, Packing circles in a square: a review and new results, System Modelling and Optimization, pp.45-54, 1991.

P. , D. Lizia, and G. Radice, Advanced global optimization tools for mission analysis and design, 2004.

A. Dimnaku, R. Kincaid, and M. W. Trosset, Approximate solutions of continuous dispersion problems, Annals of Operations Research, vol.136, issue.1, pp.65-80, 2005.

L. C. Dixon, Global optima without convexity, Design and Implementation Optimization Software, pp.449-479, 1978.

E. D. Dolan and J. J. Morè, Benchmarking optimization software with performance profiles, Mathematical Programming, vol.91, pp.201-213, 2002.

A. Donev, S. Torquato, F. H. Stillinger, and R. Connelly, A linear programming algorithm to test for jamming in hard-sphere packings, Journal of Computational Physics, vol.197, issue.1, pp.139-166, 2004.

P. K. Jonathan, R. H. Doye, M. Leary, F. Locatelli, and . Schoen, Global optimization of Morse clusters by potential energy transformations, INFORMS Journal On Computing, vol.16, pp.371-379, 2004.

G. , S. Graham, E. D. Lazowska, J. Zahorjan, and K. C. Sevcik, Quantitative System Performance, Computer System Analysis Using Queueing Network Models, 1984.

M. M. Faruque-hasan, R. C. Baliban, J. A. Elia, and C. A. Floudas, Modeling, simulation, and optimization of postcombustion co 2 capture for variable feed concentration and flow rate. 1. chemical absorption and membrane processes, Industrial and Engineering Chemistry Research, vol.51, issue.48, pp.15642-15664, 2012.

E. Favre, Comprehensive membrane science and engineering, Polymeric membranes for gas separations, vol.2, pp.155-211, 2010.

A. Fischer, J. F. Botero, M. T. Beck, H. De-meer, and X. Hesselbach, Virtual network embedding: A survey, IEEE Communications Surveys Tutorials, vol.15, issue.4, pp.1888-1906, 2013.

M. Florian, Nonlinear cost network models in transportation analysis, Netflow at Pisa, vol.26, pp.167-196, 1986.

A. Christodoulos and . Floudas, Nonlinear and Mixed-Integer Optimization: Fundamentals and Applications, 1995.

U. Focken, M. Lange, and H. Waldl, Previento -A Wind Power Prediction System with an Innovative Upscaling Algorithm, Proc. of the, 2002.

, Global Windpower Conference, SIGMETRICS '12, 2012.

B. Fortz and M. Thorup, Internet traffic engineering by optimizing OSPF weights, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies, vol.2, pp.519-528, 2002.
URL : https://hal.archives-ouvertes.fr/hal-01255612

, Reducing the Net Energy Consumption in Communications Networks by up to 98% by 2020, 2015.

F. Francois, K. Moessner, and S. Georgoulas, Optimizing link sleeping reconfigurations in isp networks with off-peak time failure protection, IEEE Transactions on Network and Service Management, vol.10, issue.2, pp.176-188, 2013.

F. Francois, N. Wang, K. Moessner, and S. Georgoulas, Optimization for timedriven link sleeping reconfigurations in ISP backbone networks, Proceedings of the 2012 IEEE Network Operations and Management Symposium, vol.2012, pp.221-228, 2012.

P. Gabrielli, M. Gazzani, and M. Mazzotti, On the optimal design of membranebased gas separation processes, Journal of Membrane Science, vol.526, pp.118-130, 2017.

P. J. Gage, R. D. Braun, and I. M. Kroo, Interplanetary trajectory optimization using a genetic algorithm, Journal of the Astronautical Sciences, vol.43, pp.59-75, 1995.

M. Galizia, W. S. Chi, Z. P. Smith, T. C. Merkel, R. W. Baker et al., Polymers and mixed-matrix membranes for gas and vapor separation: A review and prospective opportunities, Macromolecules, vol.50, issue.20, pp.7809-7843, 2017.

M. R. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness, 1979.

R. G. Garroppo, S. Giordano, G. Nencioni, and M. G. Scutellà, Mixed integer nonlinear programming models for green network design. Computers & Operations Research, vol.40, pp.273-281, 2013.

P. E. Gill, W. Murray, and M. A. Saunders, SNOPT: An SQP algorithm for large-scale constrained optimization, SIAM Journal on Optimization, vol.12, pp.979-1006, 2002.

P. C. Gilmore and C. T. Kelley, An implicit filtering algorithm for optimization of functions with many local minima, SIAM Journal on Optimization, vol.5, issue.2, pp.269-285, 1995.

R. L. Graham and B. D. Lubachevsky, Repeated patterns of dense packings of equal disks in a square, The Electronic Journal of Combinatorics, vol.3, pp.1-16, 1996.

A. Grosso, A. R. Jamali, M. Locatelli, and F. Schoen, Solving the problem of packing equal and unequal circles in a circular container, J. of Global Optimization, vol.47, issue.1, pp.63-81, 2010.

A. Grosso, M. Locatelli, and F. Schoen, A population-based approach for hard global optimization problems based on dissimilarity measures, Mathematical Programming, vol.110, issue.2, pp.373-404, 2007.

. Gt-itm and . Georgia,

R. Guerzoni, R. Trivisonno, I. Vaishnavi, Z. Despotovic, A. Hecker et al., A novel approach to virtual networks embedding for SDN management and orchestration, IEEE Network Operations and Management Symposium (NOMS), pp.1-7, 2014.

J. T. Haahr, T. R. Stidsen, and M. Zachariasen, Heuristic methods for shared backup path protection planning, Proc. of RNDM 2012, pp.712-718, 2012.

R. Hays, Active/idle toggling with 0base-x for energy efficient ethernet. presentation to the IEEE 802.3az Task Force, 2007.

H. Huang, W. Huang, Q. Zhang, and D. Xu, An improved algorithm for the packing of unequal circles within a larger containing circle, European Journal of Operational Research, vol.141, pp.440-453, 2002.

W. Huang, Y. Li, B. Jurkowiak, C. M. Li, and R. C. Xu, A two-level search strategy for packing unequal circles into a circular container, Proceedings of the International Conference on Principles and Practice of Constraint Programming, pp.868-872, 2003.

J. Hwang, K. K. Ramakrishnan, and T. Wood, Netvm: High performance and flexible networking using virtualization on commodity platforms, IEEE Transactions on Network and Service Management, vol.12, issue.1, pp.34-47, 2015.

F. Idzikowski, L. Chiaraviglio, R. Duque, F. Jimenez, and E. L. Rouzic, Green horizon: Looking at backbone networks in 2020 from the perspective of network operators, 2013 IEEE International Conference on Communications (ICC), pp.4455-4460, 2013.

D. Izzo, Advances in global optimisation for space trajectory design, 25th International Symposium on Space Technology and Science. Japan Society for Aeronautical and Space and ISTS, 2006.

D. Izzo, 1st ACT global trajectory optimisation competition: Problem description and summary of the results, Acta Astronautica, vol.61, issue.9, pp.731-734, 2007.

D. Izzo, V. M. Becerra, D. R. Myatt, S. J. Nasuto, and J. M. Bishop, Search space pruning and global optimisation of multiple gravity assist spacecraft trajectories, Journal of Global Optimization, vol.38, pp.283-296, 2007.

J. Kennington, E. Olinick, and G. Spiride, Basic mathematical programming models for capacity allocation in mesh-based survivable networks, Omega, vol.35, pp.629-644, 2007.

H. Kerivin and A. Mahjoub, Design of survivable networks: a survey, Networks, vol.46, issue.1, pp.1-21, 2005.

Y. H. Kim and D. B. Spencer, Optimal spacecraft rendezvous using genetic algorithms, Journal of Spacecraft and Rockets, vol.39, pp.859-865, 2002.

J. Koomey, Growth in data center electricity use, 2005.

C. Lange, D. Kosiankowski, A. Betker, H. Simon, N. Bayer et al., Energy Efficiency of Load-Adaptively Operated Telecommunication Networks, Journal of Lightwave Technology, vol.32, issue.4, pp.571-590, 2014.

H. Robert and . Leary, Global optimization on funneling landscapes, Journal of Global Optimization, vol.18, pp.367-383, 2000.

J. Lee, I. Lee, and J. Lee, Unbiased global optimization of lennardjones clusters for n ? 201 using the conformational space annealing method, Phys. Rev. Lett, vol.91, p.80201, 2003.

G. Lin, S. Soh, M. Lazarescu, and K. W. Chin, Power-aware routing in networks with delay and link utilization constraints, Proceedings -Conference on Local Computer Networks, LCN, pp.272-275, 2012.

G. Lin, S. Soh, M. Lazarescu, and K. W. Chin, Power-aware routing in networks with quality of services constraints, Transactions on Emerging Telecommunications Technologies, 2014.

Z. Liu, Y. Chen, C. Bash, A. Wierman, D. Gmach et al., Renewable and cooling aware workload management for sustainable data centers, Proceedings of the 12th ACM SIG-METRICS/PERFORMANCE joint international conference on Measurement and Modeling of Computer Systems, SIGMETRICS '12, 2012.

M. Locatelli, On the multilevel structure of global optimization problems. Computational Optimization and Applications, vol.30, pp.5-22, 2005.

M. Locatelli and F. Schoen, Global Optimization. Society for Industrial and Applied Mathematics, 2013.

M. Locatelli, On the multilevel structure of global optimization problems, Computational Optimization and Applications, vol.30, issue.1, pp.5-22, 2005.

M. Locatelli and U. Raber, Packing equal circles in a square: a deterministic global optimization approach, Discrete Applied Mathematics, vol.122, pp.139-166, 2002.

M. Locatelli and F. Schoen, Efficient algorithms for large scale global optimization: Lennard-jones clusters, Computational Optimization and Applications, vol.26, issue.2, pp.173-190, 2003.

A. Lodi and G. Zarpellon, On learning and branching: a survey, TOP, vol.25, issue.2, pp.207-236, 2017.

M. C. Luizelli, L. R. Bays, L. S. Buriol, M. P. Barcellos, and L. P. Gaspary, Piecing together the nfv provisioning puzzle: Efficient placement and chaining of virtual network functions, IFIP/IEEE International Symposium on Integrated Network Management (IM), pp.98-106, 2015.

M. Caggiani-luizelli, W. Luis-da, C. Cordeiro, L. S. Buriol, and L. Gaspary, A fix-and-optimize approach for efficient and large scale virtual network function placement and chaining, Computer Communications, vol.102, pp.67-77, 2017.

T. Lukovszki and S. Schmid, Online admission control and embedding of service chains, Post-Proceedings of the 22Nd International Colloquium on Structural Information and Communication Complexity, vol.9439, pp.104-118, 2015.

B. Luo, W. Liu, and A. Al-anbuky, Energy aware survivable routing approaches for next generation networks, 2013 Australasian Telecommunication Networks and Applications Conference (ATNAC), pp.160-165, 2013.

P. Mahadevan, P. Sharma, S. Banerjee, and P. Ranganathan, A power benchmarking framework for network devices, pp.795-808, 2009.

C. Mihály, T. Markót, and . Csendes, A new verified optimization technique for the "packing circles in a unit square" problem, SIAM J. on Optimization, vol.16, pp.193-219, 2005.

S. Mattia, The robust network loading problem with dynamic routing, Comput. Optim. Appl, vol.54, issue.3, pp.619-643, 2012.

S. Mattia, Solving survivable two-layer network design problems by metric inequalities, Comput. Optim. Appl, vol.51, issue.2, pp.809-834, 2012.

S. Mehraghdam, M. Keller, and H. Karl, Specifying and placing chains of virtual network functions, IEEE 3rd International Conference on Cloud Networking (CloudNet), pp.7-13, 2014.

H. Mellah and B. Sansò, Review of facts, data and proposals for a greener internet, Proceedings of the 6th International ICST Conference on Broadband Communications, Networks and Systems, 2009.

T. C. Merkel, H. Lin, X. Wei, and R. Baker, Power plant post-combustion carbon dioxide capture: an opportunity for membranes, Journal of Membrane Science, vol.359, pp.126-139, 2010.

T. C. Merkel, M. Zhou, and R. Baker, Carbon dioxide capture with membranes at an igcc power plant, Journal of Membrane Science, vol.389, pp.441-450, 2012.

R. Mijumbi, J. Serrat, J. L. Gorricho, N. Bouten, F. D. Turck et al., Design and evaluation of algorithms for mapping and scheduling of virtual network functions, Proceedings of the 2015 1st IEEE Conference on Network Softwarization (NetSoft), pp.1-9, 2015.

R. Miller, Google Data Center Frequently Asked Questions, 2008.

R. Miller, Google's chiller-less dc, 2009.

M. Minami and H. Morikawa, Some open challenges for improving the energy efficiency of the internet, Proc. 3rd International Conference on Future Internet (CFI 2008), 2008.

B. Mumey, J. Tang, and S. Hashimoto, Enabling green networking with a power down approach, 2012 IEEE International Conference on Communications (ICC), pp.2867-2871, 2012.

D. R. Myatt, V. M. Becerra, S. J. Nasuto, and J. M. Bishop, Advanced global optimisation for mission analysis and design, 2004.

N. Tran-manh, N. Huu-thanh, T. Hoang, . Hieu, N. Nguyen-tien-manh et al., Joint network embedding and server consolidation for energy-efficient dynamic data center virtualization, Computer Networks, vol.125, pp.76-89, 2017.

T. Neveux, Ab-initio process synthesis using evolutionary programming, Chemical Engineering Science, vol.185, pp.209-221, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01831858

J. Nocedal and S. J. Wright, Numerical Optimization, 2006.

K. J. Nurmela and P. R. Oestergard, Packing up to 50 equal circles in a square, Discrete Computational Geometry, vol.18, pp.111-120, 1997.

K. J. Nurmela and P. R. Oestergard, More Optimal Packings of Equal Circles in a Square, Discrete Computational Geometry, vol.22, pp.439-457, 1999.

B. Ohs, J. Lohaus, and M. Wessling, Optimization of membrane based nitrogen removal from natural gas, Journal of Membrane Science, vol.498, pp.291-301, 2016.

A. D. Olds, C. A. Kluever, and M. L. Cupples, Interplanetary mission design using differential evolution, Journal of Spacecraft and Rockets, vol.44, pp.1060-1070, 2007.

S. Orlowski and M. Pióro, Complexity of column generation in network design with path-based survivability mechanisms, Networks, vol.59, issue.1, pp.132-147, 2012.

S. Orlowski, R. Wessäly, M. Pióro, and A. Tomaszewski, SNDlib 1.0 -Survivable Network Design library, Networks, vol.55, issue.3, pp.276-286, 2010.

J. D. Pinter and F. J. Kampas, Nonlinear Optimization in Mathematica using Math-Optimizer Professional, Mathematica in Education and Research, vol.10, pp.1-18, 2005.

M. Pióro, D. Medhi, and . Routing, Flow and Capacity Design in Communication and Computer Networks, 2004.

R. Qi and M. A. Henson, Optimization-based design of spiral-wound membrane systems for CO2/CH4 separations, Separation and Purification Technology, vol.13, pp.209-225, 1998.

R. Qi and M. A. Henson, Optimal design of spiral-wound membrane networks for gas separations, Journal of Membrane Science, vol.148, pp.71-89, 1998.

R. Qi and M. A. Henson, Membrane system design for multicomponent gas mixtures via mixed-integer nonlinear programming, Computers and Chemical Engineering, vol.24, pp.2719-2737, 2000.

A. A. Ramirez-santos, C. Castel, and E. Favre, Utilization of blast furnace flue gas: Opportunities and challenges for polymeric membrane gas separation processes, Journal of Membrane Science, vol.526, pp.191-204, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01921423

G. Rauwolf and V. Coverstone-carroll, Near-optimal low-thrust orbit transfers generated by a genetic algorithm, Journal of Spacecraft and Rockets, vol.33, pp.859-862, 1996.

J. Rolia, L. Cherkasova, and C. Mccarthy, Configuring Workload Manager Control Parameters for Resource Pools, 10th IEEE NOMS, 2006.

M. Scholz, M. Alders, T. Lohaus, and M. Wessling, Structural optimization of membrane-based biogas, Journal of Membrane Science, vol.474, pp.1-10, 2015.

A. Shafiee, M. Nomvar, Z. Liu, and A. Abbas, Automated process synthesis for optimal flowsheet design of a hybrid membrane cryogenic carbon capture process, Journal of Cleaner Production, vol.150, pp.309-323, 2017.

J. Soares, M. Dias, J. Carapinha, B. Parreira, and S. Sargento, Cloud4NFV: A platform for virtual network functions, IEEE 3rd International Conference on Cloud Networking (CloudNet), pp.288-293, 2014.

E. Specht and . Packomania, , pp.2018-2027

R. Spillman, Economics of gas separation membrane processes, Membrane Separations Technology. Principles and Applications, pp.589-667, 1995.

M. Stoer and G. Dahl, A polyhedral approach to multicommodity survivable network design, Numer. Math, vol.68, issue.1, pp.149-167, 1994.

Y. G. Stoyan and G. N. Yaskow, Mathematical model and solution method of optimization problem of placement of rectangles and circles taking into account special constraints, International Transactions in Operational Research, vol.5, pp.45-57, 1998.

C. Tang, M. Steinder, M. Spreitzer, and G. Pacifici, A scalable application placement controller for enterprise data centers, 2007.

M. Ungerank, G. Baumgarten, M. Priske, and H. Roegl, Process for separation of gases, 2012.

R. V. Uppaluri, P. Linke, and A. C. Kokossis, Synthesis and optimization of gas permeation membrane networks, Industrial and Engineering Chemistry Research, vol.43, pp.4305-4322, 2004.

R. V. Uppaluri, R. Smith, P. Linke, and A. C. Kokossis, On the simultaneous optmization of pressure and layout for gas permeation membrane systems, Journal of Membrane Science, vol.280, pp.832-848, 2006.

W. Van-heddeghem, F. Idzikowski, E. Le-rouzic, J. Y. Mazeas, H. Poignant et al., Evaluation of power rating of core network equipment in practical deployments, 2012 IEEE Online Conference on Green Communications (GreenCom), pp.126-132, 2012.

N. Vasi? and D. Kosti?, Energy-aware traffic engineering, Proceedings of the 1st International Conference on Energy-Efficient Computing and Networking -e-Energy '10, p.169, 2010.

M. Vasile and M. Locatelli, A hybrid multiagent approach for global trajectory optimization, Journal of Global Optimization, 2008.

M. Vasile, E. Minisci, and M. Locatelli, On testing global optimization algorithms for space trajectory design, Proceedings of AIAA 2008, 2008.

M. Vasile, A global approach to optimal space trajectory design, Astronautical Sciences, vol.114, pp.629-647, 2003.

M. Vasile, Design of Earth-Mars transfer trajectories using evolutionarybranching technique, Acta Astronautica, vol.56, pp.705-720, 2005.

M. Vasile and P. Pascale, Design of Earth-Mars transfer trajectories using evolution-branching technique, 54th International Astronautical Congress, 2003.

T. Vinkó, D. Izzo, and C. Bombardelli, Benchmarking different global optimisation techniques for preliminary space trajectory design, 58th International Astronautical Congress. International Astronautical Federation (IAF), 2007.

D. J. Wales and J. P. Doye, Global optimization by Basin-Hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms, Journal of Physical Chemistry A, vol.101, issue.28, pp.5111-5116, 1997.

D. J. Wales, Energy landscapes and structure prediction using basin-hopping, Modern Methods of Crystal Structure Prediction, pp.29-54, 2010.

L. Wang, P. Voll, M. Lampe, Y. Yang, and A. Bardow, Superstructure-free synthesis and optimization of thermal power plants, vol.91, pp.700-711, 2015.

N. Wang, K. Ho, G. Pavlou, and M. Howarth, An overview of routing optimization for internet traffic engineering, IEEE Communications Surveys & Tutorials, vol.10, issue.1, pp.36-56, 2008.

A. Wolke and G. Meixner, Twospot: A cloud platform for scaling out web applications dynamically, In ServiceWave, 2010.

Y. Wu, B. Guo, Y. Shen, J. Wang, and X. Liu, Toward energy-proportional internet core networks: an energy-minimized routing and virtual topology design for internet protocol layer, International Journal of Communication Systems, 2013.

D. Yuan, Optimization models and methods for communication network design and routing, 2001.

M. Yuan, K. Narakornpijit, R. Haghpanah, and J. Wilcox, Consideration of a nitrogen-selective membrane for post combustion, Journal of Membrane Science, vol.465, pp.177-184, 2014.

D. Zhang and A. Deng, An effective hybrid algorithm for the problem of packing circles into a larger containing circle, Computers & Operations Research, vol.32, pp.1941-1951, 2005.

M. Zhang, C. Yi, B. Liu, and B. Zhang, Greente: Power-aware traffic engineering, The 18th IEEE International Conference on Network Protocols, pp.21-30, 2010.

X. Zhu, D. Young, B. Watson, Z. Wang, J. Rolia et al., 1000 islands: An integrated approach to resource management for virtualized data centers, Journal of Cluster Computing, vol.12, issue.1, pp.45-57, 2009.

A. Zimmermann, Circle packing contest, pp.2018-2027

, Curriculum Vitae

, Current Position and Personal Informations Current Position: Associate Professor (Maitre de conferences, tenured) Email:bernardetta, Contact

, Education October 2005 Advanced School on Parallel Computing at CINECA (Italian center for High Performance Computing

A. Alessandro, M. Cava, and E. Grazzini-date, Global optimization using local searches" Supervisor: Prof. Fabio SCHOEN Members of the Jury, Summer School on Parallel Computing at CINECA April 2005 Ph.D. in Computer Science and Automation Engineering, 2005.

, Supervisor: Sven LEYFFER (Computational Mathematician), 2004.

B. Marjan, L. Student, U. Ul, and . Rome, Meihui spent some months in Italy under the supervision of G. Carello. The thesis will be discussed at the end of the year, Supervisors: Christophe CASTEL (LRGP), Veronica PICCIALLI (Rome), 2016.

, The subject of this PhD thesis is the result of a multisciplinary collaboration with the LRGP laboratory. V. Piccialli and me supervise the optimization methods contribution, while C. Castel covers the application expertize

D. E. Francesca, P. Bettin-(m2, and . Milano, Supervisor: Giuliana CARELLO. Title: On a Network Function Virtualization Orchestration problem with uniform chain allocation and simple path routing: properties and formulation

C. Antonella, R. , and P. Milano, Supervisor: Giuliana CARELLO. Title: Joint Energy Management of cloud infrastructures and networks

K. Magdalena and U. Rome, Tor Vergata" -stage at LORIA). Supervisor: Veronica PICCIALLI. Title: An optimization framework for membrane system automatic parameter tuning

L. A. Giulia, P. Rosa-(m2, and . Di-milano, Title: Optimizing cellular networks planning and management from an energy-aware perspective: MILP formulations and MILP-based techniques

R. Mattia and P. Di-milano, Supervisor: Giuliana CARELLO. Title: Heuristics for an energy-aware management problem in cellular networks

F. Angelo-bombardieri, ;. M2, and P. Di-milano, Supervisor: Danilo ARDAGNA. Title: Tecniche di Resource Allocation per la gestione dei consumi energetici di Service Center con vincoli di availability (Resource Allocation methods for service center

, ? International -Design of Reliable Communication Networks (DRCN 2016) -International Conference on Green IT Solutions

, ? National -Algotel 2018 -20eme Rencontres Francophones sur les Aspects Algorithmiques de Télécommunications -SDN DAY 2016 -Optimisation et algorithmes pour les réseaux SDN. -MOSIM 2014 -10ème Conférence Francophone de Modéélisation, Optimisation et

?. Sdn-day, Optimisation et algorithmes pour les réseaux SDN. Reviewer activity Reviewer for International Journals, 2016.

, Deputy head (responsable adjoint) for OP-TIMIST research group at Loria ? 2016. PI -PEPS Mirabelle MIND: Mixed Integer Nonlinear programming for membrane system Design

, Active partecipation to the management of a research project between Alcatel-Lucent and the OR group of Politecnico di Milano ? 2007. Organization committee for HYCON-EECI, Graduate School on Control, 2007.

, Part of the organization of the HYCON network of excellence, 2006.

, Title: Optimization of Virtual Networks: design and assessment (examiner). -2014: Truong Khoa Phan, Dalal Belabed, in Informatics, Telecommunication and Electronics from Université Paris 6

, PhD Thesis Reviewer For Italian PhD schools' rules, a stabilized researcher with a good expertize in a scientific field can be reviewer for a Ph.D. Thesis, after approval of the PhD school commision (no HDR is necessary). -2014: Inad Nawajah

. Rome, ALGORITMI A COLAZIONE -Minicourse An introduction to stochastic global optimization -How to make simple algorithms smart!, Universitá di Roma "Tor Vergata, 2018.

N. , Introducing implicit information in optimization methods: how to make smart a simple algorithm, 1st Symposium Mathematics for Decision and Discovery (M4D2), 2016.

J. Montréal, Handling shared protection in telecommunication network optimisation (with Giuliana Carello, Politecnico di Milano), 2014.

N. , Optimization problems in ICT: energy-awareness and quality of service issues, 2013.

. Tours, Optimization problems in ICT: energy-awareness and quality of service issues at Laboratoire d'Informatique, 2013.

. Milano, A global optimization approach to circle packing at Dipartimento di Elettronica e Informazione, 2006.

. Glasgow, Stochastic global optimization methods and an application to low-trust trajectory design at Department of Aerospace Engineering, 2006.

/. Evanston and . Chicago, Trust region framework for global optimization at Northwestern University, 2004.

. Vienna, Trust region framework for global optimization at Institut fur Statistik und Decision Support Systems, 2004.

, Design and development of optimization algorithms for book packing. The underlying optimization problem is a 3-dimensional bin-packing with different size boxes and side-constraints, 2006.

?. Courses-in and . English,

?. Courses-in and . French, Optimisation et Gestion de Production/Optimization and Production Managing (31.5 h/year) -2014/15-2016/17 Cours d

?. Tutoring and 3. 2a, Previous teaching activities ? 2008/09 OR Workshop course (master students) Politecnico di Milano ? 2005/06-2006/07 Combinatorial Optimization course (master students) at Univ. di Firenze ? Exercise session for different OR courses (master and bachelor): -2011/12-2012/13 Universitá degli Studi di Torino -2007/08, 2009/10 Politecnico di Milano -2006/07 Universitá degli Studi di Siena ? Lab session for OR courses, 2001.

(. Loria/rome, The collaboration started with a stage at LRGP/LORIA and a master thesis titled "An optimization framework for membrane system automatic parameter tuning" at University of Rome, under the supervision of Veronica Piccialli (Rome) and myself. In the master thesis a first optimization model able to solve a fixed design membrane system in a simplified form has been proposed and validated and was presented in a conference [O1]. The collaboration is continuing. In 2016 we received the support of a PEPS Mirabelle (MIND) and obtained a grant for Ph.D. thesis (Marjan Bozorg) started in October 2016. The PhD thesis is part of an international agreement for a double title between the University of Lorraine and the University of Rome "Tor Vergata". M. Bozorg obtained a Vinci grant for mobility between France and Italy. The proposed method was validate using a case study from the literature, From an optimization point of view, the design of membranes can be modeled as a Mixed Integer Nonlinear Programming

, alphabetical order, therefore almost all my contributions follow this rule. Exceptions to this rule are explained by different policies of different communities (where, for example, the first author must be the PhD student working on the project to highlight her/his original contribution), or specific circumstances: ?

, the results of a large team work on an optimization competition, we decided for a first arrival first served policy

, Summary -International Journals: 27 -Book chapters: 2 -International Conferences with review, p.9

B. Addis, G. Carello, F. De-bettin, and M. Gao, On a network virtual function placement and routing problem: properties and formulations. Draft version available on HAL, 2018.
URL : https://hal.archives-ouvertes.fr/halshs-01643064

Á. A. Santos, M. Bozorg, B. Addis, V. Piccialli, C. Castel et al., Optimization of multistage membrane gas separation processes. Example of application to CO2 capture from blast furnace gas, Journal of Membrane Science, vol.566, pp.346-366, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02939885

M. Gao, B. Addis, M. Bouet, and S. Secci, Optimal orchestration of virtual network functions, Computer Networks, vol.142, pp.108-127, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01539481

B. Addis, M. Gao, and G. Carello, On the complexity of a virtual network function placement and routing problem, Electronic Notes in Discrete Mathematics, vol.69, pp.197-204, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02976835

B. Addis, G. Carello, and S. Mattia, Survivable green traffic engineering with shared protection, Networks, vol.69, pp.6-22, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02976845

B. Addis, G. Carello, and S. Mattia, Energy-aware survivable networks, Electronic Notes in Discrete Mathematics, vol.52, pp.133-140, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01247517

B. Addis, G. Carello, A. Grosso, and E. Tànfani, Operating room scheduling and rescheduling: a rolling horizon approach, Flexible Services and Manufacturing Journal, vol.28, issue.1, pp.206-232, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01247520

B. Addis, A. Capone, G. Carello, L. G. Gianoli, and B. Sansò, Energy management in communication networks: a journey through modeling and optimization glasses, Computer Communications, pp.76-94, 2016.
URL : https://hal.archives-ouvertes.fr/hal-02976850

B. Addis, R. Aringhieri, A. Grosso, and P. Hosteins, Hybrid constructive heuristics for the critical node problem, Annals of Operations Research, vol.238, issue.1, pp.637-649, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01307739

B. Addis, G. Carello, A. Grosso, E. Lanzarone, S. Mattia et al., Handling uncertainty in health care management using the cardinality-constrained approach: Advantages and remarks, Operations Research for Health Care, vol.4, pp.1-4, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01247392

D. Izzo, L. F. Simões, C. H. Yama, F. Biscani, D. D. Lorenzo et al., GTOC5: Results from the european space agency's advanced concepts team and university of florence global optimization laboratory, Acta Futura, vol.8, pp.45-55, 2014.

B. Addis, A. Capone, G. Carello, L. G. Gianoli, and B. Sansó, Energy management through optimized routing and device powering for greener communication networks, IEEE/ACM Transactions on Networking, vol.22, issue.1, pp.313-325, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01088564

B. Addis, A. Capone, G. Carello, L. Gianoli, and B. Sansò, On the energy cost of network protection techniques, Computer Networks, vol.75, pp.239-259, 2014.

B. Addis, D. Ardagna, A. Capone, and G. Carello, Energy-aware joint management of network and cloud infrastructures, Computer Networks, vol.70, pp.75-95, 2014.

B. Addis, M. D. Summa, and A. Grosso, Removing critical nodes from a graph: complexity results and polynomial algorithms for the case of bounded treewidth, Discrete and Applied Mathematics, vol.161, pp.2349-2360, 2013.

B. Addis, G. Carello, and A. Ceselli, Combining very large scale and ILP based neighborhoods for a two-level location problem, European Journal of Operational Research, vol.231, pp.535-546, 2013.

B. Addis, D. Ardagna, B. Panicucci, M. Squillante, and L. Zhang, A hierarchical approach for the resource management of very large cloud platforms, IEEE Transactions on Dependable and Secure Computing, vol.10, pp.253-272, 2013.

B. Addis, G. Carello, and A. Ceselli, Exactly solving a two-level hierarchical location problem with modular node capacities, Networks, vol.1, pp.161-180, 2012.

B. Addis and W. Schachinger, Improved bounds for interatomic distance in morse clusters, Operations Research Letters, vol.37, pp.290-294, 2009.

B. Addis, A. Cassioli, M. Locatelli, and F. Schoen, A global optimization method for design of space trajectories, Computational Optimization and Applications, 2009.

B. Addis, M. Locatelli, and F. Schoen, Efficiently packing unequal disks in a circle, Operations Research Letters, vol.36, pp.37-42, 2008.

B. Addis, M. Locatelli, and F. Schoen, Disk packing in a square: a new global optimization approach, INFORMS Journal on Computing, vol.20, pp.516-524, 2008.

B. Addis, A. Capone, G. Carello, F. Malucelli, M. Fumagalli et al., Designing two-layer optical networks with statistical multiplexing. Fiber and Integrated Optics, vol.27, pp.249-255, 2008.

W. Schachinger, B. Addis, I. M. Bomze, and F. Schoen, New results for molecular formation under pairwise potential minimization, Computational Optimization and Applications, vol.38, pp.329-349, 2007.

B. Addis and M. Locatelli, A new class of test functions for global optimization, Journal of Global Optimization, vol.38, pp.479-501, 2007.

B. Addis and S. Leyffer, A trust-region algorithm for global optimization, Computational Optimization and Applications, vol.35, pp.287-304, 2006.

B. Addis, M. Locatelli, and F. Schoen, Local optima smoothing for global optimization, Optimization Methods and Software, vol.20, pp.417-437, 2005.

B. Addis and F. Schoen, Docking of atomic clusters through nonlinear optimization, J. of Global Optimization, vol.30, pp.1-21, 2004.

E. Tsiontsiou, B. Addis, A. Ceselli, and Y. Song, Optimal probabilistic energyaware routing for duty-cycled wireless sensor networks, Proc. of NTMS 2016, Mobility and Wireless Track, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01404169

B. Addis, D. Belabed, S. Bouet, and . Secci, Virtual network functions placement and routing optimization, Proc. of IEEE CLOUDNET 2015, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01170042

B. Addis, G. Carello, and E. Tànfani, A robust optimization approach for the operating room planning problem with uncertain surgery durations, Proceedings of the International Conference on Health Care Systems Engineering, vol.61, 2014.

B. Addis, A. Capone, G. Carello, L. Gianoli, and B. Sansò, A robust optimization approach for energy-aware routing in mpls networks, Proceedings of IEEE ICNC 2013, 2013.

B. Addis, A. Capone, G. Carello, L. Gianoli, and B. Sansò, Multi-period traffic engineering of resilient networks for energy efficiency, Proceedings of IEEE GreenCom, 2012.

B. Addis, A. Capone, G. Carello, L. Gianoli, and B. Sansò, Energy-aware multiperiod traffic engineering with flow-based routing, Proceedings of IEEE ICC 2012 (workshop on Green Communications and Networking -GCN), pp.5957-5961, 2012.

B. Addis, A. Capone, G. Carello, L. Gianoli, and B. Sansò, Energy aware management of resilient networks with shared protection, Sustainable Internet and ICT for Sustainability (SustainIT), pp.1-9, 2012.

B. Addis, G. Carello, and F. Malucelli, SRG-disjoint design with dedicated and shared protection, Lecture Notes in Computer Science, pp.18-23, 2011.

B. Addis, D. Ardagna, B. Panicucci, and L. Zhang, Autonomic management of cloud service centers with availability guarantees, Proc. of the 4th IEEE International Conference on Cloud Computing, pp.220-227, 2010.

B. Addis, R. Aringhieri, E. Tànfani, and A. Testi, Clinical pathways: Insights from a multidisciplinary literature survey, Proceedings of the 38th conference of the EURO working group Operational Research Applied to Health Services (ORAHS). CHOIR: Center for Healthcare Operations Improvement & Research, of the University of Twente, 2012.

B. Addis, R. Aringhieri, G. Carello, A. Grosso, and F. Maffioli, Workforce management based on forecast demand, Advanced Decision Making Methods Applied to Health Care, 2012. International Series in Operations Research & Management Science, vol.73, pp.1-11, 2012.

M. Krzaczkowska, B. Addis, R. Bounaceur, E. Favre, A. Oulamara et al., An optimization framework for membrane system automatic parameter tuning, 17ème conférence de la Société Franccaise de Recherche Opérationelle et Aide à la Décision, 2016.

B. Addis, C. Carello, and M. Raco, Heuristics for an energy-aware management problem in cellular networks, 16ème conférence de la Société Franccaise de Recherche Opérationelle et Aide à la Décision, 2015.

B. Addis, C. Carello, and G. Rosa, An energy-aware management and design problem in wireless cellular networks, International Network Optimization Conference, 2015.

B. Addis, G. Carello, and E. Tànfani, A robust optimization approach for the operating room planning problem with uncertain surgery durations. In 14ème conférence de la Société Franccaise de Recherche Opérationelle et Aide à la Décision, 2013.

B. Addis, G. Carello, and F. Malucelli, Srg-disjoint design with dedicated and shared protection, International Network Optimization Conference, 2011.

B. Addis, G. Carello, and F. Malucelli, Network design with SRG based protection, Proc. of the 10th Cologne-Twente Workshop on graphs and combinatorial optimization. Extended Abstracts, 2011.

B. Addis, R. Aringhieri, M. Gribaudo, and A. Grosso, Combining petri nets and metaheuristics for the optimal composition of medical teams, Proceeding 9th Metaheuristics International Conference, 2011.

B. Addis, R. Aringhieri, G. Carello, M. Gribaudo, and A. Grosso, Advanced workforce management in healthcare, Proceedings ORAHS 2011, pp.308-319, 2011.

B. Addis, Global optimization using local searches, 2005.