S. Ahmed, Two-stage stochastic integer programming: A brief introduction, 2011.

H. Balakrishnan, G. Bala, and . Chandran, Algorithms for scheduling runway operations under constrained position shifting, Operations Research, vol.58, issue.6, pp.1650-1665, 2010.

J. E. Beasley, M. Krishnamoorthy, Y. M. Sharaiha, and D. Abramson, Scheduling aircraft landings: The static case, Transportation Science, vol.34, issue.2, pp.180-197, 2000.

J. A. Bennell, M. Mesgarpour, and C. N. Potts, Airport runway scheduling, vol.4, pp.115-138, 2011.

J. A. Bennell, M. Mesgarpour, and C. N. Potts, Dynamic scheduling of aircraft landings, European Journal of Operational Research, vol.258, issue.1, pp.315-327, 2017.

R. John, F. Birge, and . Louveaux, Introduction to stochastic programming, 2011.

C. S. Bosson and D. Sun, Optimization of airport surface operations under uncertainty, Journal of Air Transportation, vol.24, issue.3, pp.84-92, 2016.

D. Briskorn and R. Stolletz, Aircraft landing problems with aircraft classes, Journal of Scheduling, vol.17, issue.1, pp.31-45, 2014.

G. Bala, H. Chandran, and . Balakrishnan, A dynamic programming algorithm for robust runway scheduling, Proceedings of the 2007 American Control Conference, pp.1161-1166, 2007.

A. Charnes and W. W. Cooper, Deterministic equivalents for optimizing and satisficing under chance constraints, Operations Research, vol.11, issue.1, pp.18-39, 1963.

A. Richard-de-neufville, P. Odoni, T. Belobaba, and . Reynolds, Airport Systems: Planning, Design and Management, 2013.

R. G. Dear, The dynamic scheduling of aircraft in the near terminal area, 1976.

, Traffic Management Advisor, 2016.

A. Faye, A quadratic time algorithm for computing the optimal landing times of a fixed sequence of planes, European Journal of Operational Research, vol.270, pp.1148-1157, 2018.

M. Fischetti and D. Salvagnin, An in-out approach to disjunctive optimization, International Conference on Integration of Artificial Intelligence (AI) and Operations Research (OR) Techniques in Constraint Programming, pp.136-140, 2010.

M. Fischetti, I. Ljubi?, and M. Sinnl, Benders decomposition without separability: A computational study for capacitated facility location problems, European Journal of Operational Research, vol.253, issue.3, pp.557-569, 2016.

M. Fischetti, I. Ljubi?, and M. Sinnl, Redesigning benders decomposition for large-scale facility location, Management Science, vol.63, issue.7, pp.2146-2162, 2016.

C. Michael and . Fu, Handbook of Simulation Optimization, vol.216, 2015.

F. Furini, M. P. Kidd, C. A. Persiani, and P. Toth, Improved rolling horizon approaches to the aircraft sequencing problem, Journal of Scheduling, vol.18, issue.5, pp.435-447, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01273501

J. Garcia, MAESTRO-A metering and spacing tool, Proceedings of the 1990 American Control Conference, pp.502-507, 1990.

N. Hasevoets and P. Conroy, Arrival Manager -Implementation Guidelines and Lessons Learned, EUROCONTROL, 2010.

A. Heidt, Uncertainty Models for Optimal and Robust ATM Schedules, 2017.

A. Heidt, H. Helmke, and M. Kapolke, Frauke Liers, and Alexander Martin. Robust runway scheduling under uncertain conditions, Journal of Air Transport Management Part A, vol.56, pp.28-37, 2016.

, IBM. Benders Decomposition in CPLEX 12.7.0, at CPLEX School, 2017.

. Ibm and . Ibm, ILOG CPLEX Optimization Studio CPLEX User's Manual Version 12 Release 7, 2017.

M. Kapolke, N. Fürstenau, and A. Heidt, Pre-tactical optimization of runway utilization under uncertainty, Journal of Air Transport Management Part A, vol.56, pp.48-56, 2016.

M. Kaut, W. Stein, and . Wallace, Evaluation of scenario-generation methods for stochastic programming, Pacific Journal of Optimization, vol.3, issue.2, pp.257-271, 2007.

E. James and . Kelley, The cutting-plane method for solving convex programs, Journal of the Society for Industrial and Applied Mathematics, vol.8, issue.4, pp.703-712, 1960.

A. Khassiba, F. Bastin, and B. Gendron, Extended aircraft arrival management under uncertainty: A computational study, Journal of Air Transportation, vol.27, issue.3, pp.131-143, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02135040

E. Klotz, Automatic Benders Decomposition in CPLEX, 2017.

G. Laporte and F. V. Louveaux, The integer L-shaped method for stochastic integer programs with complete recourse, Operations Research Letters, vol.13, issue.3, pp.133-142, 1993.

H. Lee, Tradeoff evaluation of scheduling algorithms for terminal-area air traffic control, 2008.

D. Mcdaniel and M. Devine, A modified Benders' partitioning algorithm for mixed integer programming, Management Science, vol.24, issue.3, pp.312-319, 1977.

A. Larry, H. Meyn, and . Erzberger, Airport arrival capacity benefits due to improved scheduling accuracy, Proceedings of the 5th Aviation, Technology Integration and Operations and the 16th Lighter-Than-Air Systems Technology and Balloon Systems Conferences, 2005.

L. Bruce, H. M. Miller, and . Wagner, Chance constrained programming with joint constraints, Operations Research, vol.13, issue.6, pp.930-945, 1965.

C. E. Miller, A. W. Tucker, and R. A. Zemlin, Integer programming formulation of traveling salesman problems, Journal of the ACM, vol.7, issue.4, pp.326-329, 1960.

F. Neuman and H. Erzberger, Analysis of sequencing and scheduling methods for arrival traffic, 1990.

R. Rahmaniani, T. G. Crainic, M. Gendreau, and W. Rei, The Benders decomposition algorithm: A literature review, European Journal of Operational Research, vol.259, issue.3, pp.801-817, 2017.

A. Shapiro and T. Mello, On the rate of convergence of optimal solutions of Monte Carlo approximations of stochastic programs, SIAM Journal on Optimization, vol.11, issue.1, pp.70-86, 2000.

G. Sölveling, Stochastic programming methods for scheduling of airport runway operations under uncertainty, 2012.

G. Sölveling and J. Clarke, Scheduling of airport runway operations using stochastic branch and bound methods, Transportation Research Part C, vol.45, pp.119-137, 2014.

G. Sölveling, S. Solak, J. Clarke, and E. Johnson, Runway operations optimization in the presence of uncertainties, Journal of Guidance, Control, and Dynamics, vol.34, issue.5, pp.1373-1382, 2011.

M. Tielrooij, C. Borst, M. Marinus, M. Van-paassen, and . Mulder, Predicting arrival time uncertainty from actual flight information, Proceedings of the 11th USA/Europe Air Traffic Management Research and Development Seminar, pp.577-586, 2015.

, Arrival planning and sequencing with COMPAS-OP at the Frankfurt ATC-Center, Proceedings of the 1990 American Control Conference, pp.496-501, 1990.

R. D. Wollmer, Two-stage linear programming under uncertainty with 0-1 integer first stage variables, Mathematical Programming, vol.19, issue.1, pp.279-288, 1980.

, Solution method: Deterministic equivalent problem solved by CPLEX

, Solution method: Deterministic equivalent problem solved by CPLEX