P. Bonami, M. Kilinç, and J. Linderoth, Algorithms and Software for Convex Mixed Integer Nonlinear Programs, Mixed integer nonlinear programming, pp.1-39, 2012.
DOI : 10.1007/978-1-4614-1927-3_1
URL : https://hal.archives-ouvertes.fr/hal-00423416

P. Bonami, J. Lee, S. Leyffer, and A. Wächter, More branch-and-bound experiments in convex nonlinear integer programming, 2011.

B. Borchers and J. E. Mitchell, An improved branch and bound algorithm for mixed integer nonlinear programs, Computers & Operations Research, vol.21, issue.4, pp.359-367, 1994.
DOI : 10.1016/0305-0548(94)90024-8

S. Boyd and L. Vandenberghe, Convex optimization, 2009.

S. Burer and A. N. Letchford, Non-convex mixed-integer nonlinear programming: A survey, Surveys in Operations Research and Management Science, pp.97-106, 2012.
DOI : 10.1016/j.sorms.2012.08.001

C. Chen, Optimal wind?thermal generating unit commitment. Energy Conversion, IEEE Transactions on, vol.23, issue.1, pp.273-280, 2008.

I. Arthur, M. Cohen, and . Yoshimura, A branch-and-bound algorithm for unit commitment. Power Apparatus and Systems, IEEE Transactions on, vol.102, issue.2, pp.444-451, 1983.

A. Costa, A. Crespo, J. Navarro, G. Lizcano, H. Madsen et al., A review on the young history of the wind power short-term prediction, Renewable and Sustainable Energy Reviews, vol.12, issue.6, pp.1725-1744, 2008.
DOI : 10.1016/j.rser.2007.01.015

V. S. Donchenko and N. F. Kirichenko, Generalized Inverse in Control with Constraints, Cybernetics and Systems Analysis, vol.39, issue.6, pp.854-861, 2003.
DOI : 10.1023/B:CASA.0000020227.21698.39

A. Marco, . Duran, E. Ignacio, and . Grossmann, An outer-approximation algorithm for a class of mixed-integer nonlinear programs, Mathematical programming, vol.36, issue.3, pp.307-339, 1986.

C. Dambrosio and A. Lodi, Mixed integer nonlinear programming tools: a practical overview, 4OR, vol.22, issue.3, pp.329-349, 2011.
DOI : 10.1007/s10288-011-0181-9
URL : https://hal.archives-ouvertes.fr/hal-00758045

Y. Ping-fang, K. Meng, and X. Q. Yang, Piecewise Linear Multicriteria Programs: The Continuous Case and Its Discontinuous Generalization, Operations Research, vol.60, issue.2, pp.398-409, 2012.
DOI : 10.1287/opre.1110.1014

M. Arthur and . Geoffrion, Generalized benders decomposition, Journal of optimization theory and applications, vol.10, issue.4, pp.237-260, 1972.

G. Giebel, R. Brownsword, G. Kariniotakis, M. Denhard, and C. Draxl, The state-of-the-art in short-term prediction of wind power: A literature overview, 2011.

D. He, Z. Tan, and R. G. Harley, Chance constrained unit commitment with wind generation and superconducting magnetic energy storages, Power and Energy Society General Meeting, pp.1-6, 2012.

D. S. Hochbaum, A nonlinear Knapsack problem, Operations Research Letters, vol.17, issue.3, pp.103-110, 1995.
DOI : 10.1016/0167-6377(95)00009-9

K. Lange, Elementary optimization, Optimization, pp.1-17, 2004.

M. Lydia, S. Subhendu-kumar, G. Edwin-prem, A. Kumar, and . Selvakumar, Advanced algorithms for wind turbine power curve modeling. Sustainable Energy, IEEE Transactions on, vol.4, issue.3, pp.827-835, 2013.

K. Mathur, H. M. Salkin, and S. Morito, A branch and search algorithm for a class of nonlinear knapsack problems, Operations Research Letters, vol.2, issue.4, pp.155-160, 1983.
DOI : 10.1016/0167-6377(83)90047-0

Y. Nian, S. Liu, D. Wu, and J. Liu, A method for optimal sizing of stand-alone hybrid PV/wind/battery system, 2nd IET Renewable Power Generation Conference (RPG 2013), 2013.
DOI : 10.1049/cp.2013.1803

I. Vladimir, G. Norkin, . Ch, A. Pflug, and . Ruszczy´nskiruszczy´nski, A branch and bound method for stochastic global optimization, Mathematical programming, vol.83, issue.1-3, pp.425-450, 1998.

I. Quesada, E. Ignacio, and . Grossmann, An LP/NLP based branch and bound algorithm for convex MINLP optimization problems, Computers & Chemical Engineering, vol.16, issue.10-11, pp.937-947, 1992.
DOI : 10.1016/0098-1354(92)80028-8

G. , T. Ross, and R. M. Soland, A branch and bound algorithm for the generalized assignment problem, Mathematical programming, vol.8, issue.1, pp.91-103, 1975.

J. Schild and V. Chavand, State of the art and new perspectives for the development of noise regulation of wind farms, 2015.

H. Siahkali and M. Vakilian, Electricity generation scheduling with large-scale wind farms using particle swarm optimization, Electric Power Systems Research, vol.79, issue.5, pp.826-836, 2009.
DOI : 10.1016/j.epsr.2008.11.004

J. Teghem, La recherche opérationnelle tome 1: Les méthodes d'optimisation, 2012.

T. Westerlund and F. Pettersson, An extended cutting plane method for solving convex MINLP problems, Computers & Chemical Engineering, vol.19, pp.131-136, 1995.
DOI : 10.1016/0098-1354(95)87027-X