?. and U. Cr, model: it seems promising to reduce the complexity of this algorithm to O(n 3 logn) by examining the approaches presented in Wagelmans Aggarwal & Park (1993) and Federgruen & Tzur (1991) that improve the complexity of the Wagner- Whitin algorithm. Moreover, future research can be undertaken to consider time-varying cost parameters for this case, such as the Wagner-Whitin cost in the case of the ULS. With this cost, the complexity of the fast backward dynamic programing algorithm of Wagelmans, 1992.

?. and M. Llp-p-(-w, model: for future research, a generalization of the chain structure seems imperative. The first setup can focus on the assembly structure and then the general structure . Moreover, the development of heuristic or meta-heuristic algorithms helps us to solve problems with a more realistic size and with fewer assumptions. Furthermore, in addition to the two approaches proposed in this thesis, the decentralized approach has drawn increasing attention since the work of the Homberger The problem concerning the relation (domination ) between supply chain members will thus be addressed that involves more negotiation mechanisms and game theory techniques as, 2010.

U. Ls-p-(-w and U. , Differences in number of setups and average inventory level between optimal programs of, p.84

. Meyr, Software modules covering the supply chain planning matrix, p.20, 2008.

. Comelli, Classification of lot-sizing models, p.26, 2008.

. Wuttke, Increasing number of firms using supply chain finance method in Germany, p.29, 2016.

. Andriolo, Historical evolution in relation to the aspects and assumptions considered in EOQ literature, p.40, 2014.

P. Afentakis and B. Gavish, Optimal Lot-Sizing Algorithms for Complex Product Structures, Operations Research, vol.34, issue.2, pp.237-249, 1986.
DOI : 10.1287/opre.34.2.237

P. Afentakis, B. Gavish, and U. Karmarkar, Computationally Efficient Optimal Solutions to the Lot-Sizing Problem in Multistage Assembly Systems, Management Science, vol.30, issue.2, pp.222-239, 1984.
DOI : 10.1287/mnsc.30.2.222

A. Aggarwal and J. K. Park, Improved Algorithms for Economic Lot Size Problems, Operations Research, vol.41, issue.3, pp.549-571, 1993.
DOI : 10.1287/opre.41.3.549

M. Amiti and D. E. Weinstein, Exports and Financial Shocks, The Quarterly Journal of Economics, vol.9, issue.4, pp.1841-1877, 2011.
DOI : 10.1006/jjie.1995.1009

URL : https://doi.org/10.3386/w15556

A. Andriolo, D. Battini, R. W. Grubbström, A. Persona, and F. Sgarbossa, A century of evolution from Harris??s basic lot size model: Survey and research agenda, International Journal of Production Economics, vol.155, issue.42, pp.16-38, 2014.
DOI : 10.1016/j.ijpe.2014.01.013

E. Arkin, D. Joneja, and R. Roundy, Computational complexity of uncapacitated multiechelon production planning problems, pp.61-66, 1989.

V. Babich and M. J. Sobel, Pre-IPO Operational and Financial Decisions, Management Science, vol.50, issue.7, pp.935-948, 2004.
DOI : 10.1287/mnsc.1040.0252

URL : http://www-personal.engin.umich.edu/~babich/papers/IPO.pdf

H. C. Bahl, L. P. Ritzman, and J. N. Gupta, OR Practice???Determining Lot Sizes and Resource Requirements: A Review, Operations Research, vol.35, issue.3, pp.329-345, 1987.
DOI : 10.1287/opre.35.3.329

B. M. Beamon, Supply chain design and analysis:, International Journal of Production Economics, vol.55, issue.3, pp.281-294, 1998.
DOI : 10.1016/S0925-5273(98)00079-6

A. Benito, K. S. Neiss, S. Price, and L. Rachel, The impact of the financial crisis on supply, Bank of England Quarterly Bulletin, pp.2-12, 2010.

R. Bihlmaier, A. Koberstein, and R. Obst, Modeling and optimizing of strategic and tactical production planning in the automotive industry under uncertainty', OR spectrum, pp.31-311, 2009.

J. R. Birge, Om forum -operations and finance interactions', Manufacturing & Service Operations Management, pp.4-15, 2014.
DOI : 10.1287/msom.2014.0509

URL : http://pubsonline.informs.org/doi/pdf/10.1287/msom.2014.0509

G. R. Bitran and H. H. Yanasse, Computational Complexity of the Capacitated Lot Size Problem, Management Science, vol.28, issue.10, pp.1174-1186, 1982.
DOI : 10.1287/mnsc.28.10.1174

J. D. Blackburn and R. A. Millen, Improved Heuristics for Multi-Stage Requirements Planning Systems, Management Science, vol.28, issue.1, pp.44-56, 1982.
DOI : 10.1287/mnsc.28.1.44

M. Bogataj and R. W. Grubbström, On the representation of timing for different structures within MRP theory, International Journal of Production Economics, vol.140, issue.2, pp.749-755, 1990.
DOI : 10.1016/j.ijpe.2011.04.016

N. Brahimi, N. Absi, S. Dauzère-pérès, and A. Nordli, Single-item dynamic lot-sizing problems: An updated survey, European Journal of Operational Research, vol.263, issue.3, pp.62-90, 2017.
DOI : 10.1016/j.ejor.2017.05.008

P. Buchmann, A. Roos, U. Jung, and A. Martin, Cash for growth: The neglected power of working-capital management', BCG Opportunities for Actions Available Online, 2008.

T. Buer, J. Homberger, and H. Gehring, A collaborative ant colony metaheuristic for distributed multi-level uncapacitated lot-sizing, International Journal of Production Research, vol.32, issue.10, pp.5253-5270, 2013.
DOI : 10.1016/S0377-2217(02)00801-9

J. Buzacott, Economic order quantities with inflation', Operational research quarterly pp, pp.553-558, 1975.

D. Cattrysse, J. Maes, and L. N. Van-wassenhove, Set partitioning and column generation heuristics for capacitated dynamic lotsizing, European Journal of Operational Research, vol.46, issue.1, pp.38-47, 1990.
DOI : 10.1016/0377-2217(90)90296-N

C. Chang, L. Ouyang, J. Teng, and M. Cheng, Optimal ordering policies for deteriorating items using a discounted cash-flow analysis when a trade credit is linked to order quantity, Computers & Industrial Engineering, vol.59, issue.4, pp.770-777, 2010.
DOI : 10.1016/j.cie.2010.08.002

C. Chang, S. Wu, and L. Chen, Optimal payment time with deteriorating items under inflation and permissible delay in payments, International Journal of Systems Science, vol.14, issue.10, pp.985-993, 2009.
DOI : 10.1016/j.mcm.2005.09.029

J. Chauffour and T. Farole, Trade finance in crisis: market adjustment or market failure, p.27, 2009.
DOI : 10.1596/1813-9450-5003

S. Chen and J. Teng, Inventory and credit decisions for time-varying deteriorating items with up-stream and down-stream trade credit financing by discounted cash flow analysis, European Journal of Operational Research, vol.243, issue.2, pp.566-575, 2015.
DOI : 10.1016/j.ejor.2014.12.007

T. Chen, J. T. Lin, and C. Wu, Coordinated capacity planning in two-stage thin-film-transistor liquid-crystal-display (TFT-LCD) production networks, Omega, vol.42, issue.1, pp.141-156, 2014.
DOI : 10.1016/j.omega.2013.05.004

M. Christopher, Logistics & supply chain management, p.15, 1992.

M. Christopher, Logistics and supply chain management: Strategies for reducing cost and improving service financial times: Pitman publishing. london, p.92, 1998.

A. J. Clark and H. Scarf, Optimal Policies for a Multi-Echelon Inventory Problem, Management Science, vol.6, issue.4, pp.475-490, 1960.
DOI : 10.1287/mnsc.6.4.475

A. R. Clark and V. A. Armentano, The application of valid inequalities to the multi-stage lot-sizing problem, Computers & Operations Research, vol.22, issue.7, pp.669-680, 1995.
DOI : 10.1016/0305-0548(94)00060-L

J. Claro and J. P. De-sousa, A multiobjective metaheuristic for a mean-risk multistage capacity investment problem with process flexibility, Computers & Operations Research, vol.39, issue.4, pp.838-849, 2012.
DOI : 10.1016/j.cor.2010.08.015

J. Colin, P. Lièvre, and N. Tchernev, La logistique du point de vue des sciences de gestion', La logistique, entre management et optimisation, pp.34-43, 2004.

M. Comelli, M. Gourgand, and D. Lemoine, A review of tactical planning models, Journal of Systems Science and Systems Engineering, vol.44, issue.1, pp.204-229, 2008.
DOI : 10.1080/05695557908974478

URL : https://hal.archives-ouvertes.fr/hal-00860180

M. C. Cooper, D. M. Lambert, and J. D. Pagh, Supply chain management: more than a new name for logistics', The international journal of logistics management, pp.1-14, 1997.

Y. Crama, Y. Pochet, and Y. Wera, A discussion of production planning approaches in the process industry, p.23, 2001.

S. Croom, P. Romano, and M. Giannakis, Supply chain management: an analytical framework for critical literature review, European Journal of Purchasing & Supply Management, vol.6, issue.1, pp.67-83, 2000.
DOI : 10.1016/S0969-7012(99)00030-1

W. B. Crowston and M. H. Wagner, Dynamic Lot Size Models for Multi-Stage Assembly Systems, Management Science, vol.20, issue.1, pp.14-21, 1973.
DOI : 10.1287/mnsc.20.1.14

S. Dalmia, Financial Supply Chain, Tata McGraw-Hill Education, p.27, 2008.

E. W. Davis, A look at the use of production-inventory techniques: past and present, Production and Inventory management, pp.1-19, 1975.

N. Dellaert and J. Jeunet, Solving large unconstrained multilevel lot-sizing problems using a hybrid genetic algorithm, International Journal of Production Research, vol.38, issue.5, pp.1083-1099, 2000.
DOI : 10.1080/002075400189031

N. Dellaert, J. Jeunet, and N. Jonard, A genetic algorithm to solve the general multi-level lot-sizing problem with time-varying costs, International Journal of Production Economics, vol.68, issue.3, pp.241-257, 2000.
DOI : 10.1016/S0925-5273(00)00084-0

N. P. Dellaert and J. Jeunet, Randomized multi-level lot-sizing heuristics for general product structures, European Journal of Operational Research, vol.148, issue.1, pp.211-228, 2003.
DOI : 10.1016/S0377-2217(02)00403-4

J. J. Dematteis, An economic lot-sizing technique, I: The part-period algorithm, IBM Systems Journal, vol.7, issue.1, pp.30-38, 1968.
DOI : 10.1147/sj.71.0030

S. S. Demica, Steady supplu: The growing role of supply chain finance in a changing world', Demica Report Series, p.27, 2007.

L. Deroussi and D. Lemoine, A particle swarm approach for the MLLP, 2009 International Conference on Computers & Industrial Engineering, pp.12-17, 2009.
DOI : 10.1109/ICCIE.2009.5223751

URL : https://hal.archives-ouvertes.fr/hal-00860252

I. Dherment-férère, Maîtrise d'ouvrage et ERP, processus logistiques, comptables et financiers, édition Lavoisier, p.18, 2007.

G. Dudek and H. Stadtler, Negotiation-based collaborative planning between supply chains partners, European Journal of Operational Research, vol.163, issue.3, pp.668-687, 2005.
DOI : 10.1016/j.ejor.2004.01.014

G. D. Eppen, F. Gould, and B. P. Pashigian, Extensions of the Planning Horizon Theorem in the Dynamic Lot Size Model, Management Science, vol.15, issue.5, pp.268-277, 1969.
DOI : 10.1287/mnsc.15.5.268

G. D. Eppen and R. K. Martin, Solving Multi-Item Capacitated Lot-Sizing Problems Using Variable Redefinition, Operations Research, vol.35, issue.6, pp.832-848, 1987.
DOI : 10.1287/opre.35.6.832

Y. Ernst, All tied up', White paper, working capital management report, p.12, 2010.

Y. Ernst, All tied up', White paper, working capital management report, p.11, 2012.

J. R. Evans, An efficient implementation of the Wagner-Whitin algorithm for dynamic lot-sizing, Journal of Operations Management, vol.5, issue.2, pp.229-235, 1985.
DOI : 10.1016/0272-6963(85)90009-9

S. E. Fawcett and G. M. Magnan, Achieving world-class supply chain alignment: benefits, barriers, and bridges, p.19, 2001.

A. Federgruen and M. Tzur, A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time, Management Science, vol.37, issue.8, pp.909-925, 1991.
DOI : 10.1287/mnsc.37.8.909

P. Féniès, Une méthodologie de modélisation par processus multiples et incrémentiels: application pour l'évaluation des performances de la Supply Chain, p.24, 2006.

P. Fenies, M. Gourgand, and N. Tchernev, A framework for supply chain performance evaluation , in 'Congresso Internacional de pesquisa em logistica, pp.1-12, 2004.

B. Fleischmann, Distribution and transport planning', Supply chain management and advanced planning pp, pp.229-244, 2005.

B. Fleischmann, S. Ferber, and P. Henrich, Strategic Planning of BMW???s Global Production Network, Interfaces, vol.36, issue.3, pp.194-208, 2006.
DOI : 10.1287/inte.1050.0187

J. W. Forrester, Industrial Dynamics, Journal of the Operational Research Society, vol.48, issue.10, pp.1037-1041, 1997.
DOI : 10.1057/palgrave.jors.2600946

R. Ganeshan and T. P. Harrison, An introduction to supply chain management, pp.1-7, 1995.

L. Gao, N. Altay, and E. P. Robinson, A comparative study of modeling and solution approaches for the coordinated lot-size problem with dynamic demand, Mathematical and Computer Modelling, vol.47, issue.11-12, pp.1254-1263, 2008.
DOI : 10.1016/j.mcm.2007.02.035

P. Genin, Planification tactique robuste avec usage d'un aps. proposition d'un mode de gestion par plan de référence', Mémoire de thèse, pp.15-23, 2003.

V. Giard, Gestion de la production et des flux: avec CD livre électronique+ Logiciels+ Animations, Economica, p.22, 2003.

T. Gorham, Dynamic order quantities, Production and Inventory Management, pp.75-81, 1968.

S. K. Goyal, Economic order quantity under conditions of permissible delay in payments', Journal of the operational research society pp, pp.335-338, 1985.

S. K. Goyal and A. Gunasekaran, Multi-stage production-inventory systems, European Journal of Operational Research, vol.46, issue.1, pp.1-20, 1990.
DOI : 10.1016/0377-2217(90)90293-K

R. W. Grubbström, On The Application of the Laplace Transform to Certain Economic Problems, Management Science, vol.13, issue.7, pp.558-567, 1967.
DOI : 10.1287/mnsc.13.7.558

R. W. Grubbström, A net present value approach to safety stocks in planned production, International Journal of Production Economics, vol.56, issue.57, pp.213-229, 1998.
DOI : 10.1016/S0925-5273(97)00094-7

R. W. Grubbström, A net present value approach to safety stocks in a multi-level MRP system, International Journal of Production Economics, vol.59, issue.1-3, pp.361-375, 1999.
DOI : 10.1016/S0925-5273(98)00016-4

R. W. Grubbström and T. T. Huynh, Multi-level, multi-stage capacity-constrained production???inventory systems in discrete time with non-zero lead times using MRP theory, International Journal of Production Economics, vol.101, issue.1, pp.53-62, 2006.
DOI : 10.1016/j.ijpe.2005.05.006

R. W. Grubbström and Z. Wang, A stochastic model of multi-level/multi-stage capacityconstrained production?inventory systems, International Journal of Production Economics, vol.81, pp.483-494, 2003.

D. Gupta and L. Wang, A Stochastic Inventory Model with Trade Credit, Manufacturing & Service Operations Management, vol.11, issue.1, pp.4-18, 2009.
DOI : 10.1287/msom.1070.0191

Y. P. Gupta and Y. Keung, A Review of Multi???stage Lot???sizing Models, International Journal of Operations & Production Management, vol.25, issue.12, pp.57-73, 1990.
DOI : 10.1287/mnsc.33.9.1137

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

F. W. Harris, How Many Parts to Make at Once, Operations Research, vol.38, issue.6, pp.947-950, 1913.
DOI : 10.1287/opre.38.6.947

S. Helber, Cash-flow oriented lot sizing in mrp ii systems, in 'Beyond Manufacturing Resource Planning (MRP II), pp.147-183, 1998.

J. Herzer, Production and operations management-strategic and tactical decisions, p.22, 1996.

K. Hoberg, M. Protopappa-sieke, and S. Steinker, How do financial constraints and financing costs affect inventories? An empirical supply chain perspective, International Journal of Physical Distribution & Logistics Management, vol.1, issue.1, p.43, 2017.
DOI : 10.1287/mnsc.2014.2079

E. Hofmann and H. Kotzab, A SUPPLY CHAIN-ORIENTED APPROACH OF WORKING CAPITAL MANAGEMENT, Journal of Business Logistics, vol.5, issue.7, pp.305-330, 2010.
DOI : 10.2307/1240873

E. Hofmann, D. Maucher, S. Piesker, and P. Richter, Measures for strengthening internal financing power from a supply chain viewpoint, in 'Ways Out of the Working Capital Trap, pp.55-73, 2011.

C. Hohmann, Audit combiné qualité/supply chain: sécuriser ses relations clients-fournisseurs, p.18, 2004.

J. Homberger, A Parallel Genetic Algorithm for the Multilevel Unconstrained Lot-Sizing Problem, INFORMS Journal on Computing, vol.20, issue.1, pp.124-132, 2008.
DOI : 10.1287/ijoc.1070.0224

J. Homberger, Decentralized multi-level uncapacitated lot-sizing by automated negotiation, 4OR, vol.153, issue.3, pp.155-180, 2010.
DOI : 10.1007/978-94-015-7744-1

J. Homberger and H. Gehring, An ant colony optimization approach for the multi-level unconstrained lot-sizing problem, in 'System Sciences, HICSS'09. 42nd Hawaii International Conference on', IEEE, pp.1-7, 2009.

J. Homberger, H. Gehring, and T. Buer, Integrating Side Payments into Collaborative Planning for the Distributed Multi-level Unconstrained Lot Sizing Problem, 2015 48th Hawaii International Conference on System Sciences, pp.1068-1077, 2015.
DOI : 10.1109/HICSS.2015.131

V. Hovelaque, J. Viviani, and M. A. Mansour, Chaine logistique sous contrainte budgétaire', CIGI, p.129, 2015.

C. K. Jaggi, S. Goyal, and S. K. Goel, Retailer???s optimal replenishment decisions with credit-linked demand under permissible delay in payments, European Journal of Operational Research, vol.190, issue.1, pp.130-135, 2008.
DOI : 10.1016/j.ejor.2007.05.042

R. R. Jesse, A. Mitra, and J. F. Cox, EOQ FORMULA: IS IT VALID UNDER INFLATIONARY CONDITIONS?, Decision Sciences, vol.5, issue.2, pp.370-374, 1983.
DOI : 10.1111/j.1540-5915.1983.tb00192.x

J. Jeunet and N. Jonard, Single-point stochastic search algorithms for the multi-level lot-sizing problem, Computers & operations research, pp.985-1006, 2005.
DOI : 10.1016/j.cor.2003.09.009

I. Kaku, Z. Li, and C. Xu, Solving large multilevel lot-sizing problems with a simple heuristic algorithm based on segmentation, International Journal of Innovative Computing, Information and Control, vol.6, issue.3, pp.817-827, 2010.

S. Karabuk and S. D. Wu, Coordinating Strategic Capacity Planning in the Semiconductor Industry, Operations Research, vol.51, issue.6, pp.839-849, 2003.
DOI : 10.1287/opre.51.6.839.24917

C. Kilger, H. Meyr, and H. Stadtler, Supply chain management and advanced planning: concepts, models, software, and case studies, p.19, 2015.

L. Klapper, The role of factoring for financing small and medium enterprises, Journal of Banking & Finance, vol.30, issue.11, pp.3111-3130, 2006.
DOI : 10.1016/j.jbankfin.2006.05.001

P. Kouvelis and W. Zhao, The Newsvendor Problem and Price-Only Contract When Bankruptcy Costs Exist, Production and Operations Management, vol.48, issue.(3), pp.921-936, 2011.
DOI : 10.1108/17439130710738709

J. Krarup and O. Bilde, Plant location, set covering and economic lot size: an o (mn)-algorithm for structured problems', Numerische methoden bei optimierungsaufgaben 3, pp.155-180, 1977.

R. Kuik and M. Salomon, Multi-level lot-sizing problem: Evaluation of a simulated-annealing heuristic, European Journal of Operational Research, vol.45, issue.1, pp.25-37, 1990.
DOI : 10.1016/0377-2217(90)90153-3

R. Kuik, M. Salomon, and L. N. Van-wassenhove, Batching decisions: structure and models, European Journal of Operational Research, vol.75, issue.2, pp.243-263, 1994.
DOI : 10.1016/0377-2217(94)90072-8

K. Kyriakopoulos and K. De-ruyter, Knowledge Stocks and Information Flows in New Product Development*, Journal of Management Studies, vol.16, issue.4, pp.1469-1498, 2004.
DOI : 10.1111/1467-6486.00268

R. K. Lai, Inventory and the stock market', Working paper, p.43, 2006.

S. Lamouri and A. Thomas, Optimization of the process of development of the sop, International Conference (CPI'99), pp.328-338, 1999.

J. C. Lang, Production and Operations Management: Models and Algorithms, p.62, 2010.
DOI : 10.1007/978-3-642-04247-8_2

H. L. Lee and C. Billington, Material Management in Decentralized Supply Chains, Operations Research, vol.41, issue.5, pp.835-847, 1993.
DOI : 10.1287/opre.41.5.835

H. L. Lee, V. Padmanabhan, and S. Whang, Information Distortion in a Supply Chain: The Bullwhip Effect, Management Science, vol.43, issue.4, pp.546-558, 1997.
DOI : 10.1287/mnsc.43.4.546

D. Lemoine, Modèles génériques et méthodes de résolution pour la planification tactique mono-site et multi-site, p.88, 2008.

A. A. Levis and L. G. Papageorgiou, A hierarchical solution approach for multi-site capacity planning under uncertainty in the pharmaceutical industry, Computers & Chemical Engineering, vol.28, issue.5, pp.707-725, 2004.
DOI : 10.1016/j.compchemeng.2004.02.012

J. S. Lim, A. Manan, Z. Hashim, H. Wan-alwi, and S. R. , Optimal Multi-Site Resource Allocation and Utility Planning for Integrated Rice Mill Complex, Industrial & Engineering Chemistry Research, vol.52, issue.10, pp.3816-3831, 2013.
DOI : 10.1021/ie302884t

J. S. Lim, Z. A. Manan, S. R. Alwi, and H. Hashim, A multi-period model for optimal planning of an integrated, resource-efficient rice mill, Computers & Chemical Engineering, vol.52, pp.77-89, 2013.
DOI : 10.1016/j.compchemeng.2012.12.007

S. F. Love, A Facilities in Series Inventory Model with Nested Schedules, Management Science, vol.18, issue.5-part-1, pp.327-338, 1972.
DOI : 10.1287/mnsc.18.5.327

T. J. Lowe and L. B. Schwarz, Parameter estimation for the EOQ lot-size model: Minimax and expected value choices, Naval Research Logistics Quarterly, vol.4, issue.2, pp.367-376, 1983.
DOI : 10.1080/05695557208974855

R. A. Lundin and T. E. Morton, Planning Horizons for the Dynamic Lot Size Model: Zabel vs. Protective Procedures and Computational Results, Operations Research, vol.23, issue.4, pp.711-734, 1975.
DOI : 10.1287/opre.23.4.711

A. Lusa, C. Martínez-costa, and M. Mas-machuca, An integral planning model that includes production, selling price, cash flow management and flexible capacity, International Journal of Production Research, vol.55, issue.8, pp.1568-1581, 2012.
DOI : 10.1080/05695557708975121

URL : https://hal.archives-ouvertes.fr/hal-00714928

K. Lysons and B. Farrington, Purchasing and supply chain management, Pearson Education, p.18, 2006.

M. Malouche and J. Chauffour, Trade finance during the great trade collapse, p.27, 2011.

C. Martínez-costa, M. Mas-machuca, E. Benedito, and A. Corominas, A review of mathematical programming models for strategic capacity planning in manufacturing, International Journal of Production Economics, vol.153, issue.128, pp.66-85, 2014.
DOI : 10.1016/j.ijpe.2014.03.011

R. A. Melo and L. A. Wolsey, Uncapacitated two-level lot-sizing, Operations Research Letters, vol.38, issue.4, pp.241-245, 2010.
DOI : 10.1016/j.orl.2010.04.001

P. W. Meyers and F. G. Tucker, Defining roles for logistics during routine and radical technological innovation, Journal of the Academy of Marketing Science, vol.42, issue.1, pp.73-82, 1989.
DOI : 10.1007/BF02726356

H. Meyr, M. Wagner, and J. Rohde, Structure of advanced planning systems, in 'Supply chain management and advanced planning, pp.109-115, 2008.

J. Min, Y. Zhou, and J. Zhao, An inventory model for deteriorating items under stock-dependent demand and two-level trade credit, Applied Mathematical Modelling, vol.34, issue.11, pp.3273-3285, 2010.
DOI : 10.1016/j.apm.2010.02.019

S. Mitra, J. M. Pinto, and I. E. Grossmann, Optimal multi-scale capacity planning for power-intensive continuous processes under time-sensitive electricity prices and demand uncertainty. Part I: Modeling, Computers & Chemical Engineering, vol.65, pp.89-101, 2014.
DOI : 10.1016/j.compchemeng.2014.01.016

J. Mo, C. Guimei, F. Ting, and M. Hong, Optimal ordering policies for perishable multi-item under stock-dependent demand and two-level trade credit, Applied Mathematical Modelling, vol.38, issue.9, pp.2522-2532, 2014.

F. Modigliani and M. H. Miller, The cost of capital, corporation finance and the theory of investment', The American economic review, pp.261-297, 1958.

S. J. New and P. Payne, Research frameworks in logistics, International Journal of Physical Distribution & Logistics Management, vol.25, issue.10, pp.60-77, 1995.
DOI : 10.1108/01443579610114059

L. G. Papageorgiou, G. E. Rotstein, and N. Shah, Strategic Supply Chain Optimization for the Pharmaceutical Industries, Industrial & Engineering Chemistry Research, vol.40, issue.1, pp.275-286, 2001.
DOI : 10.1021/ie990870t

H. Pfohl and M. Gomm, Supply chain finance: optimizing financial flows in supply chains, Logistics Research, vol.17, issue.10, pp.3-4, 2009.
DOI : 10.2139/ssrn.925274

R. Pitakaso, C. Almeder, K. F. Doerner, and R. F. Hartl, A MAX-MIN ant system for unconstrained multi-level lot-sizing problems, Computers & Operations Research, vol.34, issue.9, pp.2533-2552, 2007.
DOI : 10.1016/j.cor.2005.09.022

Y. Pochet and L. A. Wolsey, Production planning by mixed integer programming, p.91, 2006.

K. Rota, C. Thierry, and G. Bel, La maîtrise des flux (coordonateur: Jp campagne): Chapitre 5" gestion des flux dans les chaînes logistiques (supply chain management), ouvrage hermès: Traité systèmes pour l'ingénieur', Hermès, p.16, 2001.

S. Rumyantsev and S. Netessine, What Can Be Learned from Classical Inventory Models? A Cross-Industry Exploratory Investigation, Manufacturing & Service Operations Management, vol.9, issue.4, pp.409-429, 2007.
DOI : 10.1287/msom.1070.0166

V. Sadlovska, The 2008 state of the market in supply chain finance, p.27, 2007.

L. B. Schwarz, The Economic Order-Quantity (EOQ) Model, pp.37-39, 2008.
DOI : 10.1007/978-0-387-73699-0_8

D. Seifert, R. W. Seifert, and M. Protopappa-sieke, A review of trade credit literature: Opportunities for research in operations, European Journal of Operational Research, vol.231, issue.2, pp.245-256, 2013.
DOI : 10.1016/j.ejor.2013.03.016

A. Serrano, S. Kraiselburd, and R. Oliva, Ordering decisions, cost of capital, and the value of the firm', Working paper, p.43, 2009.

A. Serrano, R. Oliva, and S. Kraiselburd, On the cost of capital in inventory models with deterministic demand, International Journal of Production Economics, vol.183, issue.56, pp.14-20, 2017.
DOI : 10.1016/j.ijpe.2016.10.007

K. H. Shang, J. Song, and P. H. Zipkin, Coordination Mechanisms in Decentralized Serial Inventory Systems with Batch Ordering, Management Science, vol.55, issue.4, pp.685-695, 2009.
DOI : 10.1287/mnsc.1080.0981

E. A. Silver and H. C. Meal, A heuristic for selecting lot size quantities for the case of a deterministic time-varying demand rate and discrete opportunities for replenishment, pp.64-74, 1973.

T. M. Simatupang and R. Sridharan, The collaborative supply chain', The international journal of logistics management, pp.15-30, 2002.

H. Stadtler, Supply chain management and advanced planning??????basics, overview and challenges, European Journal of Operational Research, vol.163, issue.3, pp.575-588, 2005.
DOI : 10.1016/j.ejor.2004.03.001

E. Steinberg and H. A. Napier, Optimal Multi-Level Lot Sizing for Requirements Planning Systems, Management Science, vol.26, issue.12, pp.1258-1271, 1980.
DOI : 10.1287/mnsc.26.12.1258

F. Straube and I. Beyer, Decentralized planning in global and local networks?coordination of inter-and intraorganizational networks at tactical level, Proceedings of IFSAM VIIIth World Congress, pp.28-30, 2006.

A. A. Taleizadeh and M. Nematollahi, An inventory control problem for deteriorating items with back-ordering and financial considerations, Applied Mathematical Modelling, vol.38, issue.1, pp.93-109, 2014.
DOI : 10.1016/j.apm.2013.05.065

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

F. Tanrisever, H. Cetinay, M. Reindorp, and J. Fransoo, Value of reverse factoring in multistage supply chains', Available at SSRN: 2183991, p.27, 2012.

N. Tchernev, Modélisation du processus logistique dans les systèmes flexibles de production, p.21, 1997.

N. Tchernev, Approvisionnement et logistique', Manuel de l'étudiant, p.22, 2003.

A. Thangam, Optimal price discounting and lot-sizing policies for perishable items in a supply chain under advance payment scheme and two-echelon trade credits, International Journal of Production Economics, vol.139, issue.2, pp.459-472, 2012.
DOI : 10.1016/j.ijpe.2012.03.030

T. Farris, M. Hutchison, and P. D. , Cash???to???cash: the new supply chain management metric, International Journal of Physical Distribution & Logistics Management, vol.32, issue.4, pp.288-298, 2002.
DOI : 10.1108/09576059510085000

C. Thierry, L. Page, P. Chapeaublanc, N. Bel, and G. , Multi-site planning: A centralized or a distributed approach?, in '11th International Conference on Analysis and Optimization of Systems Discrete Event Systems, pp.609-615, 1994.

J. Thizy and L. Van-wassenhove, A subgradient algorithm for the multi-item capacitated lot-sizing problem', IIE Transactions, pp.114-123, 1983.

B. G. Thomas and S. Bollapragada, General Electric Uses an Integrated Framework for Product Costing, Demand Forecasting, and Capacity Planning of New Photovoltaic Technology Products, Interfaces, vol.40, issue.5, pp.353-367, 2010.
DOI : 10.1287/inte.1100.0518

W. W. Trigeiro, L. J. Thomas, and J. O. Mcclain, Capacitated Lot Sizing with Setup Times, Management Science, vol.35, issue.3, pp.353-366, 1989.
DOI : 10.1287/mnsc.35.3.353

R. R. Trippi and D. E. Lewin, A PRESENT VALUE FORMULATION OF THE CLASSICAL EOQ PROBLEM, Decision Sciences, vol.5, issue.1, pp.30-35, 1974.
DOI : 10.1111/j.1540-5915.1974.tb00592.x

S. Van-hoesel, H. E. Romeijn, D. R. Morales, and A. P. Wagelmans, Integrated Lot Sizing in Serial Supply Chains with Production Capacities, Management Science, vol.51, issue.11, pp.51-1706, 2005.
DOI : 10.1287/mnsc.1050.0378

V. Jr and A. F. , Minimum concave-cost solution of leontief substitution models of multifacility inventory systems, Operations Research, vol.17, issue.2, pp.262-291, 1969.

E. A. Veral and R. L. Laforge, THE PERFORMANCE OF A SIMPLE INCREMENTAL LOT-SIZING RULE IN A MULTILEVEL INVENTORY ENVIRONMENT, Decision Sciences, vol.17, issue.4, pp.57-72, 1985.
DOI : 10.1016/0272-6963(83)90023-2

A. Wagelmans, S. Van-hoesel, and A. Kolen, Economic Lot Sizing: An O(n log n) Algorithm That Runs in Linear Time in the Wagner-Whitin Case, Operations Research, vol.40, issue.1-supplement-1, pp.145-156, 1992.
DOI : 10.1287/opre.40.1.S145

H. M. Wagner and T. M. 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

K. Wang, S. Wang, and S. Yang, A resource portfolio model for equipment investment and allocation of semiconductor testing industry, European Journal of Operational Research, vol.179, issue.2, pp.390-403, 2007.
DOI : 10.1016/j.ejor.2006.04.006

S. Wang, J. Chen, and K. Wang, Resource portfolio planning of make-to-stock products using a constraint programming-based genetic algorithm, Omega, vol.35, issue.2, pp.237-246, 2007.
DOI : 10.1016/j.omega.2005.06.001

O. Wight, Manufacturing resource planning: MRP II: unlocking America's productivity potential, p.23, 1995.

J. Wu, F. B. Al-khateeb, J. Teng, and L. E. Cárdenas-barrón, Inventory models for deteriorating items with maximum lifetime under downstream partial trade credits to credit-risk customers by discounted cash-flow analysis, International Journal of Production Economics, vol.171, pp.105-115, 2016.
DOI : 10.1016/j.ijpe.2015.10.020

D. A. Wuttke, C. Blome, H. S. Heese, and M. Protopappa-sieke, Supply chain finance: Optimal introduction and adoption decisions, International Journal of Production Economics, vol.178, issue.29, pp.72-81, 2016.
DOI : 10.1016/j.ijpe.2016.05.003

URL : http://sro.sussex.ac.uk/61216/1/__smbhome.uscs.susx.ac.uk_qlfd7_Desktop_Supply%20Chain%20Finance%20Blome.pdf

D. A. Wuttke, C. Blome, and M. Henke, Focusing the financial flow of supply chains: An empirical investigation of financial supply chain management, International Journal of Production Economics, vol.145, issue.2, pp.773-789, 2013.
DOI : 10.1016/j.ijpe.2013.05.031

Y. Xiao, R. Zhang, Q. Zhao, I. Kaku, and Y. Xu, A variable neighborhood search with an effective local search for uncapacitated multilevel lot-sizing problems, European Journal of Operational Research, vol.235, issue.1, pp.102-114, 2014.
DOI : 10.1016/j.ejor.2013.10.025

S. S. Yang, F. Yang, K. Wang, and Y. Chandra, Optimising resource portfolio planning for capital-intensive industries under process-technology progress, International Journal of Production Research, vol.34, issue.10, pp.2625-2648, 2009.
DOI : 10.1080/0020754031000109152

F. You, I. E. Grossmann, and J. M. Wassick, Multisite Capacity, Production, and Distribution Planning with Reactor Modifications: MILP Model, Bilevel Decomposition Algorithm versus Lagrangean Decomposition Scheme, Industrial & Engineering Chemistry Research, vol.50, issue.9, pp.4831-4849, 2010.
DOI : 10.1021/ie100559y

E. Zabel, Some Generalizations of an Inventory Planning Horizon Theorem, Management Science, vol.10, issue.3, pp.465-471, 1964.
DOI : 10.1287/mnsc.10.3.465

W. I. Zangwill, A Deterministic Multiproduct, Multi-Facility Production and Inventory Model, Operations Research, vol.14, issue.3, pp.486-507, 1966.
DOI : 10.1287/opre.14.3.486

A. C. Zeballos, R. W. Seifert, and M. Protopappa-sieke, Single product, finite horizon, periodic review inventory model with working capital requirements and short-term debt, Computers & Operations Research, vol.40, issue.12, 2013.
DOI : 10.1016/j.cor.2013.07.008