S. An, Q. Li, and T. W. Gedra, Natural Gas and Electricity Optimal Power Flow, IEEE Paper, 2003.

J. André and L. Cornibert, A tool to optimize the reinforcement costs of a gas transmission network, Pipeline Simulation Interest Group, 38th Annual Meeting, 2006.

A. Ainouche, Economic Comparison of a number of Gas Supply Routes, World Energy Congress, pp.5-9, 2004.

B. V. Babu, P. G. Rakesh-angira, J. H. Chakole, and . Syed-mubeen, Optimal Design of Gas Transmission Network Using Differential Evolution, Birla Institute of Technology & Science, p.333031, 2003.

M. S. Bazaraa, H. D. Sherali, C. M. Shetty, and N. Programming, Theory and algorithms, 1993.

J. F. Bonnans and A. Shapiro, Perturbation analysis of optimization problems, 2000.
DOI : 10.1007/978-1-4612-1394-9

P. Boucly, Conception optimale d'un réseau de transport, Support de formation Information sur le transport et le stockage du gaz naturel, 1992.

M. Chapon, Conception et Construction des réseaux de transport de gaz, Manuel pour le transport et la distribution du gaz, Livre IX, Edité par l'Association Technique de l'industrie du gaz en France, 1990.

A. P. Cheeseman, How to optimize Gas Pipeline Design by computer, Oil & Gas Journal, vol.69, pp.64-68, 1971.

T. F. Edgar, H. D. Bickel, and T. C. , Optimal Design of Gas Transmission Networks, Society of Petroleum Engineers Journal, vol.18, issue.02, pp.96-104, 1978.
DOI : 10.2118/6034-PA

P. Gill, W. Murray, and M. A. Saunders, SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization, SIAM Review, vol.47, issue.1, pp.99-131, 2005.
DOI : 10.1137/S0036144504446096

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.4155

M. Hafner, Gaz naturel et production d'´ electricité : analyse technologique etéconomiqueetéconomique de la génération d'´ electricité et du transport de gaz pour les pays du bassin méditerranéen, Thèse de doctorat, 1994.

F. John, Extremum problems with inequalities as subsidiary conditions, in " Studies and Essays, R. Courant anniversary volume, pp.187-204, 1948.

A. Kabirian and M. R. Hemmati, A strategic planning model for natural gas transmission networks, Energy Policy, vol.35, issue.11, pp.5656-5670, 2007.
DOI : 10.1016/j.enpol.2007.05.022

P. Lang, Transmission-System Design, Journal of the Operational Research Society, vol.39, issue.5, pp.459-466, 1988.
DOI : 10.1057/jors.1988.79

O. Mangasarian and S. Fromovitz, The Fritz John necessary optimality conditions in the presence of equality and inequality constraints, Journal of Mathematical Analysis and Applications, vol.17, issue.1, pp.37-47, 1967.
DOI : 10.1016/0022-247X(67)90163-1

M. Mohitpour, H. Golshan, and M. A. , Pipeline Design and Construction -A Practical Approach, 2003.

B. A. Murtagh and M. A. Saunders, MINOS 5.5 USERS GUIDE, pp.94305-4022, 1998.

F. I. Soliman and B. A. Murtagh, THE SOLUTION OF LARGE-SCALE GAS PIPELINE DESIGN PROBLEMS, Engineering Optimization, vol.21, issue.2, pp.77-83, 1982.
DOI : 10.1080/03052158208902457