W. Trigeiro, J. Thomas, and J. Mccain, Capacitated lot sizing with setups, Manag Sci, vol.35, issue.3, pp.141-161, 1989.

W. Chen and J. Thizy, Analysis of relaxations for the multi-item capacitated lot-sizing problem, Annals of Operations Research, vol.15, issue.9, pp.29-72, 1990.
DOI : 10.1007/BF02248584

B. Karimi, F. Ghomi, S. Wilsonb, and J. , The capacitated lot sizing problem: a review of models and algorithms, Omega, vol.31, issue.5, pp.365-378, 2003.
DOI : 10.1016/S0305-0483(03)00059-8

P. Robinson, A. Narayanan, and F. Sahin, Coordinated deterministic dynamic demand lot-sizing problem: A review of models and algorithms???, Omega, vol.37, issue.1, pp.3-15, 2009.
DOI : 10.1016/j.omega.2006.11.004

H. Wagner and T. Whitin, Dynamic Version of the Economic Lot Size Model, Management Science, vol.5, issue.1, pp.89-96, 1958.
DOI : 10.1287/mnsc.5.1.89

A. Manne, Programming of Economic Lot Sizes, Management Science, vol.4, issue.2, pp.115-135, 1958.
DOI : 10.1287/mnsc.4.2.115

N. Brahimi, S. Dauzere-peres, N. Najid, and A. Nordli, Single item lot sizing problems, European Journal of Operational Research, vol.168, issue.1, pp.1-16, 2006.
DOI : 10.1016/j.ejor.2004.01.054

URL : https://hal.archives-ouvertes.fr/hal-00468355

O. Kazan, R. Nagi, and C. Rump, New lot-sizing formulations for less nervous production schedules, Computers & Operations Research, vol.27, issue.13, pp.1325-1345, 2000.
DOI : 10.1016/S0305-0548(99)00076-3

E. Silver and H. Mael, A heuristic selecting lot size requirements for the case of deterministic time varying demand rate and discrete opportunities for replenishment, Prod Invent Manag, vol.14, pp.64-74, 1973.

M. Loparic, Y. Pochet, and L. Wolsey, The uncapacitated lot-sizing problem with sales and safety stocks, Mathematical Programming, vol.89, issue.3, pp.487-5042001, 2001.
DOI : 10.1007/PL00011411

D. Aksen, K. Altinkemer, and S. Chand, The single-item lot-sizing problem with immediate lost sales, European Journal of Operational Research, vol.147, issue.3, pp.558-5662003, 2003.
DOI : 10.1016/S0377-2217(02)00331-4

N. Absi and S. Kedad-sidhoum, MIP-based heuristics for multi-item capacitated lot-sizing problem with setup times and shortage costs, RAIRO - Operations Research, vol.41, issue.2, pp.171-192, 2007.
DOI : 10.1051/ro:2007014

URL : https://hal.archives-ouvertes.fr/emse-01182232

N. Absi and S. Kedad-sidhoum, The multi-item capacitated lot-sizing problem with setup times and shortage costs, European Journal of Operational Research, vol.185, issue.3, pp.1351-1374, 2008.
DOI : 10.1016/j.ejor.2006.01.053

URL : https://hal.archives-ouvertes.fr/hal-00506261

N. Absi and S. Kedad-sidhoum, The multi-item capacitated lot-sizing problem with safety stocks and demand shortage costs, Computers & Operations Research, vol.36, issue.11, pp.2926-2936, 2009.
DOI : 10.1016/j.cor.2009.01.007

URL : https://hal.archives-ouvertes.fr/emse-00429420

A. Absi and B. Detienne, Heuristics for the multi-item capacitated lot-sizing problem with lost sales, Computers & Operations Research, vol.40, issue.1, pp.264-272
DOI : 10.1016/j.cor.2012.06.010

URL : https://hal.archives-ouvertes.fr/emse-00733895

H. Tempelmeier and M. Derstroff, A Lagrangean-Based Heuristic for Dynamic Multilevel Multiitem Constrained Lotsizing with Setup Times, Management Science, vol.42, issue.5, pp.738-757, 1996.
DOI : 10.1287/mnsc.42.5.738

H. Sural, M. Denize, and L. Vanwassenhove, Lagrangean relaxation based heuristics for lot sizing with setup times, European Journal of Operational Research, vol.194, issue.1, pp.51-60, 2009.
DOI : 10.1016/j.ejor.2007.11.052

R. Berretta and L. Rodrigues, A memetic algorithm for a multistage capacitated lot-sizing problem, International Journal of Production Economics, vol.87, issue.1, pp.67-81, 2004.
DOI : 10.1016/S0925-5273(03)00093-8

Y. Han, J. Tang, I. Kaku, and L. Mu, Solving uncapacitated multilevel lot-sizing problems using a particle swarm optimization with flexible inertial weight, Computers & Mathematics with Applications, vol.57, issue.11-12, pp.1748-1755, 2009.
DOI : 10.1016/j.camwa.2008.10.024

O. Tang, Simulated annealing in lot sizing problems, International Journal of Production Economics, vol.88, issue.2, pp.173-181, 2004.
DOI : 10.1016/j.ijpe.2003.11.006

Y. Xiao, I. Kaku, Q. Zhao, and R. Zhang, A variable neighborhood search based approach for uncapacitated multilevel lot-sizing problems, Computers & Industrial Engineering, vol.60, issue.2, pp.218-227, 2011.
DOI : 10.1016/j.cie.2010.11.003

C. Coello, G. Lamont, V. Veldhuizen, and D. , Evolutionary algorithms for solving multiobjective problems, 2007.

K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Transactions on Evolutionary Computation, vol.6, issue.2, pp.182-197, 2002.
DOI : 10.1109/4235.996017

E. Ulungu, J. Teghaem, P. Fortemps, and D. Tuyttens, MOSA method: a tool for solving multiobjective combinatorial optimization problems, Journal of Multi-Criteria Decision Analysis, vol.12, issue.4, pp.221-236, 1999.
DOI : 10.1002/(SICI)1099-1360(199907)8:4<221::AID-MCDA247>3.0.CO;2-O

J. Rezaei and M. Davoodi, Multi-objective models for lot-sizing with supplier selection, International Journal of Production Economics, vol.130, issue.1, pp.77-86, 2011.
DOI : 10.1016/j.ijpe.2010.11.017

M. Karimi-nasab and M. Aryanezhad, A multi-objective production smoothing model with compressible operating times, Applied Mathematical Modelling, vol.35, issue.7, pp.3596-3610, 2011.
DOI : 10.1016/j.apm.2011.01.038

M. Karimi-nasab and L. Konstantaras, A random search heuristic for a multi-objective production planning, Computers & Industrial Engineering, vol.62, issue.2, pp.479-490, 2012.
DOI : 10.1016/j.cie.2011.10.015

E. Mehdizadeh and R. Tavakkoli-moghaddam, Vibration damping optimization, Proceedings of the International Conference of Operations Research and Global Business, pp.3-5, 2008.

E. Mehdizadeh, M. Tavarroth, and V. Hajipour, A new hybrid algorithm to optimize stochastic-fuzzy capacitated multi-facility location?allocation problem, J Optim Ind Eng, vol.7, pp.71-80, 2011.

S. Mousavi, A. Niaki, S. Mehdizadeh, E. Tavarroth, and M. , The capacitated multi-facility location???allocation problem with probabilistic customer location and demand: two hybrid meta-heuristic algorithms, International Journal of Systems Science, vol.48, issue.10, pp.1897-1912, 2013.
DOI : 10.1016/S0360-8352(03)00021-4

Z. Geem, Harmony Search Algorithm for Solving Sudoku, part I. LNCS (LNAI), pp.371-378, 2007.
DOI : 10.1007/978-3-540-74819-9_46

K. Lee and Z. Geem, A new structural optimization method based on the harmony search algorithm, Computers & Structures, vol.82, issue.9-10, pp.781-798, 2004.
DOI : 10.1016/j.compstruc.2004.01.002

Z. Geem, J. Kim, and G. Loganathan, Harmony search optimization: application to pipe network design, Int J Model Simul, vol.22, pp.125-1332002, 2002.

A. Taleizadeh, S. Niaki, and F. Barzinpour, Multiple-buyer multiple-vendor multi-product multi-constraint supply chain problem with stochastic demand and variable lead-time: A harmony search algorithm, Applied Mathematics and Computation, vol.217, issue.22, pp.9234-9253, 2011.
DOI : 10.1016/j.amc.2011.04.001

S. Rahmati, V. Hajipour, and S. Niaki, A soft-computing Pareto-based meta-heuristic algorithm for a multi-objective multi-server facility location problem, Applied Soft Computing, vol.13, issue.4, pp.1728-1740, 2013.
DOI : 10.1016/j.asoc.2012.12.016

O. Yeniay and B. Ankare, Penalty Function Methods for Constrained Optimization with Genetic Algorithms, Mathematical and Computational Applications, vol.10, issue.3, pp.45-56, 2005.
DOI : 10.3390/mca10010045

Z. Geem, J. Kim, and G. Loganathan, A New Heuristic Optimization Algorithm: Harmony Search, SIMULATION, vol.76, issue.2, pp.60-68, 2001.
DOI : 10.1177/003754970107600201

R. Haupt and S. Haupt, Practical genetic algorithms, 2011.
DOI : 10.1002/0471671746

S. Kirkpatrick, C. Gelatt, and M. Vecchi, Optimization by Simulated Annealing, Science, vol.220, issue.4598, pp.671-680, 2003.
DOI : 10.1126/science.220.4598.671

S. Bandyopadhyay, S. Saha, U. Maulik, and D. K. , A Simulated Annealing-Based Multiobjective Optimization Algorithm: AMOSA, IEEE Transactions on Evolutionary Computation, vol.12, issue.3, pp.269-283, 2008.
DOI : 10.1109/TEVC.2007.900837

S. Pasandideh, S. Niaki, and V. Hajipour, A multi-objective facility location model with batch arrivals: two parameter-tuned meta-heuristic algorithms, Journal of Intelligent Manufacturing, vol.10, issue.2, pp.331-348, 2013.
DOI : 10.1007/s10845-011-0592-7

E. Zitzler, L. Thiele, A. E. Eiben, and T. Back, Multi-objective optimization using evolutionary algorithms a comparative case study, Fifth International Conference on Parallel Problem Solving from Nature (PPSN-V), pp.292-301, 1998.