K. Aardal, M. Labbé, J. M. Leung, and M. Queyranne, On the Two-Level Uncapacitated Facility Location Problem, INFORMS Journal on Computing, vol.8, issue.3, pp.289-301, 1996.
DOI : 10.1287/ijoc.8.3.289

URL : https://hal.archives-ouvertes.fr/hal-01255629

M. Ba¨?ouba¨?ou and F. Barahona, A polyhedral study of a two level facility location model, RAIRO - Operations Research, vol.48, issue.2, pp.153-165, 2014.
DOI : 10.1137/070706070

I. Barros and M. Labbé, A General Model for the Uncapacitated Facility and Depot Location Problem, Location Science, vol.2, pp.173-191, 1994.
URL : https://hal.archives-ouvertes.fr/hal-01255634

I. Barros, Discrete and Fractional Programming Techniques for Location Models, 1995.
DOI : 10.1007/978-1-4615-4072-4

I. Barros, Discrete and Fractional Programming Techniques for Location Models, 1998.
DOI : 10.1007/978-1-4615-4072-4

J. M. Bloemhof-ruwaard, M. Salomon, and L. N. Van-wassenhove, On the coordination of product and by-product flows in two-level distribution networks: Model formulations and solution procedures, European Journal of Operational Research, vol.79, issue.2, pp.325-339, 1994.
DOI : 10.1016/0377-2217(94)90362-X

J. M. Bloemhof-ruwaard, M. Salomon, and L. N. Van-wassenhove, The capacitated distribution and waste disposal problem, European Journal of Operational Research, vol.88, issue.3, pp.490-503, 1996.
DOI : 10.1016/0377-2217(94)00211-8

A. Bumb, An approximation algorithm for the maximization version of the two level uncapacitated facility location problem, Operations Research Letters, vol.29, issue.4, pp.155-161, 2001.
DOI : 10.1016/S0167-6377(01)00087-6

P. Chardaire, J. Lutton, and A. Sutter, Upper and Lower Bounds for the Two-Level Simple Plant Location Problem, Annals of Operations Research, vol.86, pp.117-140, 1999.
DOI : 10.1023/A:1018942415824

A. F. Gabor and J. C. Van-ommeren, A new approximation algorithm for the multilevel facility location problem, Discrete Applied Mathematics, vol.158, issue.5, pp.453-460, 2010.
DOI : 10.1016/j.dam.2009.11.007

L. Gao and E. P. Robinson, A dual-based optimization procedure for the two-echelon uncapacitated facility location problem, Naval Research Logistics, vol.28, issue.2, pp.191-212, 1992.
DOI : 10.1016/S0167-5060(08)70728-3

B. Gendron and F. Semet, Formulations and relaxations for a multi-echelon capacitated location???distribution problem, Computers & Operations Research, vol.36, issue.5, pp.1335-1355, 2009.
DOI : 10.1016/j.cor.2008.02.009

URL : https://hal.archives-ouvertes.fr/hal-00832045

B. Gendron, P. V. Khuong, and F. Semet, Multilayer variable neighborhood search for two-level uncapacitated facility location problems with single assignment, Networks, vol.108, issue.3, pp.214-234, 2015.
DOI : 10.1007/s10107-006-0704-x

URL : https://hal.archives-ouvertes.fr/hal-01223087

B. Gendron, P. V. Khuong, and F. Semet, A Lagrangian-Based Branch-and-Bound Algorithm for the Two-Level Uncapacitated Facility Location Problem with Single-Assignment Constraints, Transportation Science, vol.50, issue.4, 2016.
DOI : 10.1287/trsc.2016.0692

L. Kaufman, M. V. Van-eede, and P. Hansen, A Plant and Warehouse Location Problem, Journal of the Operational Research Society, vol.28, issue.3, pp.547-554, 1977.
DOI : 10.1057/jors.1977.104

A. Klose and A. Drexl, Facility location models for distribution system design, European Journal of Operational Research, vol.162, issue.1, pp.4-29, 2005.
DOI : 10.1016/j.ejor.2003.10.031

Y. Kochetov and D. Ivanenko, Computationally difficult instances for the uncapacitated facility location problem. Metaheuristics: Progress as real problem solvers, pp.351-367, 2005.

J. Krarup and P. M. Pruzan, The simple plant location problem: Survey and synthesis, European Journal of Operational Research, vol.12, issue.1, pp.36-81, 1983.
DOI : 10.1016/0377-2217(83)90181-9

J. Kratica, D. Dugo?ija, and A. Savi´csavi´c, A new mixed integer linear programming model for the multi level uncapacitated facility location problem, Applied Mathematical Modelling, vol.38, issue.7-8, pp.2118-2129, 2014.
DOI : 10.1016/j.apm.2013.10.012

M. Landete and A. Marín, New facets for the two-stage uncapacitated facility location polytope, Computational Optimization and Applications, vol.12, issue.10, pp.487-519, 2009.
DOI : 10.1002/j.1538-7305.1985.tb00032.x

M. Maric, An efficient genetic algorithm for solving the multi-level uncapacitated facility location problem, Computing and Informatics, vol.29, 2010.

A. Marín, Lower bounds for the two-stage uncapacitated facility location problem, European Journal of Operational Research, vol.179, issue.3, pp.1126-1142, 2006.
DOI : 10.1016/j.ejor.2005.04.052

A. Marín and B. Pelegrin, Applying Lagrangian Relaxation to the Resolution of Two-Stage Location Problems, Annals of Operations Research, vol.86, pp.179-198, 1999.
DOI : 10.1023/A:1018998500803

M. T. Melo, S. Nickel, and F. Saldanha-da-gama, Dynamic multi-commodity capacitated facility location: a mathematical modeling framework for strategic supply chain planning, Computers & Operations Research, vol.33, issue.1, pp.181-208, 2006.
DOI : 10.1016/j.cor.2004.07.005

P. Mitropoulos, I. Giannikos, and I. Mitropoulos, Exact and heuristic approaches for the locational planning of an integrated solid waste management system, Operational Research, vol.28, issue.6, pp.329-347, 2009.
DOI : 10.1016/0305-0483(79)90101-4

S. C. Narula and U. I. Ogbu, An hierarchal location???allocation problem, Omega, vol.7, issue.2, pp.137-143, 1979.
DOI : 10.1016/0305-0483(79)90101-4

H. Pirkul and V. Jayaraman, Production, Transportation, and Distribution Planning in a Multi-Commodity Tri-Echelon System, Transportation Science, vol.30, issue.4, pp.291-302, 1996.
DOI : 10.1287/trsc.30.4.291

H. Pirkul and V. Jayaraman, A multi-commodity, multi-plant, capacitated facility location problem: formulation and efficient heuristic solution, Computers & Operations Research, vol.25, issue.10, pp.869-878, 1998.
DOI : 10.1016/S0305-0548(97)00096-8

H. Ro and D. Tcha, A branch and bound algorithm for the two-level uncapacitated facility location problem with some side constraints, European Journal of Operational Research, vol.18, issue.3, pp.349-358, 1984.
DOI : 10.1016/0377-2217(84)90156-5

G. Sahin and H. Süral, A review of hierarchical facility location models, Computers & Operations Research, vol.34, issue.8, pp.2310-2331, 2007.
DOI : 10.1016/j.cor.2005.09.005

S. Tragantalerngsak, J. Holt, and M. Rönnqvist, Lagrangian heuristics for the two-echelon, single-source, capacitated facility location problem, European Journal of Operational Research, vol.102, issue.3, pp.611-625, 1997.
DOI : 10.1016/S0377-2217(96)00227-5

C. Wu, D. Du, and D. Xu, Primal???dual approximation algorithm for the two-level facility location problem via a dual quasi-greedy approach, Theoretical Computer Science, vol.562, pp.213-226, 2015.
DOI : 10.1016/j.tcs.2014.09.045

J. Zhang, Approximating the two-level facility location problem via a quasi-greedy approach, Mathematical Programming, vol.30, issue.1, pp.159-176, 2006.
DOI : 10.1287/mnsc.23.8.789

Z. Farahani, R. , M. Hekmatfar, B. Fahiminia, and N. Kazemzadeh, Hierarchical facility location problem: Models, classifications, techniques, and applications, Computers & Industrial Engineering, vol.68, 2014.
DOI : 10.1016/j.cie.2013.12.005