. Eurocontrol, EUROCONTROL Long-Term Forecast: IFR Flight Movements, 2010.

. Eurocontrol, European Airspace Concept Handbook for PBN Implementation, 2013.

P. Gallina and A. Gasparetto, A Technique to Analytically Formulate and to Solve the 2-Dimensional Constrained Trajectory Planning Problem for a Mobile Robot, Journal of Intelligent and Robotic Systems, vol.27, issue.3, pp.237-262, 2000.
DOI : 10.1023/A:1008168615430

O. Souissi, R. Benatitallah, D. Duvivier, A. Artiba, N. Belanger et al., Path planning: A 2013 survey, Proceedings of 2013 International Conference on Industrial Engineering and Systems Management (IESM), pp.1-8, 2013.

D. Delahaye, S. Puechmorel, P. Tsiotras, and E. Feron, Mathematical Models for Aircraft Trajectory Design: A Survey Air Traffic Management and Systems, CNS, pp.205-247, 2014.
DOI : 10.1007/978-4-431-54475-3_12

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

T. Lozano-pérez and M. A. Wesley, An algorithm for planning collision-free paths among polyhedral obstacles, Communications of the ACM, vol.22, issue.10, pp.560-570, 1979.
DOI : 10.1145/359156.359164

Y. Liu and S. Arimoto, Path Planning Using a Tangent Graph for Mobile Robots Among Polygonal and Curved Obstacles: Communication, The International Journal of Robotics Research, vol.11, issue.4, pp.376-38210, 1992.
DOI : 10.1177/027836499201100409

M. Pocchiola and G. Vegter, Minimal tangent visibility graphs, Computational Geometry, vol.6, issue.5, pp.303-314, 1996.
DOI : 10.1016/0925-7721(95)00016-X

URL : http://doi.org/10.1016/0925-7721(95)00016-x

D. S. Kim, K. Yu, Y. Cho, D. Kim, Y. et al., Shortest paths for disc obstacles Computational Science and Its Applications ? ICCSA, pp.62-70, 2004.
DOI : 10.1007/978-3-540-24767-8_7

A. Eele and A. Richards, Path-Planning with Avoidance Using Nonlinear Branch-and-Bound Optimization, Journal of Guidance, Control, and Dynamics, vol.32, issue.2, pp.384-394, 2009.
DOI : 10.2514/1.40034

S. Pierre, D. Delahaye, C. , and S. , Aircraft Trajectory Planning with Dynamical Obstacles by Artificial Evolution and Convex Hull Generations, 2015 ENRI International Workshop on ATM/CNS (EIWAC2015), ENRI, 2015.
DOI : 10.1007/978-4-431-56423-2_3

URL : https://hal.archives-ouvertes.fr/hal-01280638

K. Jimmy, L. Changkil, J. S. , and M. , Turn-Constrained Route Planning for Avoiding Hazardous Weather, Air Traffic Control Quarterly, vol.14, issue.2, pp.159-182, 2006.

M. Sharir and A. Schorr, On Shortest Paths in Polyhedral Spaces, Proceedings of the Sixteenth Annual ACM Symposium on Theory of Computing, pp.144-153, 1984.
DOI : 10.1137/0215014

K. Jiang, L. Seneviratne, and S. Earles, Finding the 3D shortest path with visibility graph and minimum potential energy, Proceedings of 1993 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS '93), pp.679-684, 1993.
DOI : 10.1109/IROS.1993.583190

J. Canny and J. Reif, New lower bound techniques for robot motion planning problems, 28th Annual Symposium on Foundations of Computer Science (sfcs 1987), pp.49-60, 1987.
DOI : 10.1109/SFCS.1987.42

D. Gianazza, N. Durand, and N. Archambault, Allocating 3D-trajectories to air traffic flows using A* and genetic algorithms, Proceedings of the International Conference on Computational Intelligence for Modelling, Control, and Automation (CIMCA04), 2004.
URL : https://hal.archives-ouvertes.fr/hal-01020102

D. M. Pfeil, Optimization of airport terminal-area air traffic operations under uncertain weather conditions, 2011.

J. Zhou, S. Cafieri, D. Delahaye, and M. Sbihi, Optimization of Arrival and Departure Routes in Terminal Maneuvering Area, 6th International Conference on Research in Air Transportation (ICRAT2014), 2014.
URL : https://hal.archives-ouvertes.fr/hal-01002807

J. Zhou, S. Cafieri, D. Delahaye, and M. Sbihi, Optimizing the Design of a Route in Terminal Maneuvering Area Using Branch and Bound, 2015 ENRI International Workshop on ATM/CNS (EI- WAC2015), 2015.
DOI : 10.1007/978-4-431-56423-2_9

URL : https://hal.archives-ouvertes.fr/hal-01503222

D. Gianazza and N. Durand, Separating air traffic flows by allocating 3D-trajectories, The 23rd Digital Avionics Systems Conference (IEEE Cat. No.04CH37576), pp.2-4, 2004.
DOI : 10.1109/DASC.2004.1391275

URL : https://hal.archives-ouvertes.fr/hal-00938063

D. Gianazza and N. Durand, Assessment of the 3D-separation of Air Traffic Flows, 6th USA/ Europe Air Traffic Management Research and Development Seminar, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00938079

V. Polishchuk, Generating Arrival Routes with Radius-to-Fix Functionalities, 7th International Conference on Research in Air Transportation, p.2016, 2016.

J. Zhou, S. Cafieri, D. Delahaye, and M. Sbihi, Optimal design of SIDs/STARs in TMA using simulated annealing, 2016 IEEE/AIAA 35th Digital Avionics Systems Conference (DASC), 2016.
DOI : 10.1109/DASC.2016.7778099

URL : https://hal.archives-ouvertes.fr/hal-01379998

E. W. Dijkstra, A note on two problems in connexion with graphs, Numerische Mathematik, vol.4, issue.1, pp.269-271, 1959.
DOI : 10.1007/BF01386390

R. Bellman, On a routing problem, Quarterly of Applied Mathematics, vol.16, issue.1, pp.87-90, 1958.
DOI : 10.1090/qam/102435

E. L. Lawler and D. E. Wood, Branch-and-Bound Methods: A Survey, Operations Research, vol.14, issue.4, pp.699-719, 1966.
DOI : 10.1287/opre.14.4.699

P. Hart, N. Nilsson, R. , and B. , A Formal Basis for the Heuristic Determination of Minimum Cost Paths, IEEE Transactions on Systems Science and Cybernetics, vol.4, issue.2, pp.100-107, 1968.
DOI : 10.1109/TSSC.1968.300136

J. Dreo, P. Petrowski, P. Siarry, and E. Taillard, Metaheuristics for hard optimization, pp.1-19, 2005.
URL : https://hal.archives-ouvertes.fr/hal-01341683

. Eurocontrol, User Manual for the Base of Aircraft Data (BADA) Revision 3, 2011.

. Garmin, Garmin Radius to Fix Leg Project Report (in support of FAA memorandum of agreement no.DTFAWA-11-A-80009), 2013.

S. Chaimatanan, D. Delahaye, and M. Mongeau, A Hybrid Metaheuristic Optimization Algorithm for Strategic Planning of 4D Aircraft Trajectories at the Continental Scale, IEEE Computational Intelligence Magazine, vol.9, issue.4, pp.46-61, 2014.
DOI : 10.1109/MCI.2014.2350951

J. Zhou, Optimisation des procédures de départ et d'arrivée dans une zone terminale