The fluctuations in the business environment and seasonal variations characteristic of food supply chains contribute greatly to the increasing complexity of the entire Supply Chain planning. In the present paper, quantitative models are applied to support the decision-making purchasing management department of a retail company. Specifically, a multiperiod mathematical model was developed with the aim of optimizing decision-making of the purchasing managers. The developed model consists of a multiperiod Mixed Integer Nonlinear Programming model, with the objective to minimize the ratio between how much is costing the company to move the products along the Supply Chain and the products’ costs. It is discussed how to order the product, what is the most advantageous storage mode and whether it is preferable to order once or twice a week. Real instances, provided by a Portuguese retail company, regarding the demand for one year are tested for two scenarii, which are used currently by the company. The results show that the proposed model can reduce, on both scenarios, the ratio between operational costs and merchandise costs, for almost all products, and therefore it can be an important tool for supporting decision-making of the purchasing manager.
Accepté le :
Première publication :
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DOI : 10.1051/ro/2021048
Keywords: Supply chain management, nonlinear programming, purchasing, distribution, logistics
@article{RO_2021__55_2_997_0,
author = {Teixeira, Ana and Costa e Silva, Eliana and Lopes, Cristina},
title = {A mixed integer nonlinear multiperiod model for supply chain management of a company in the retail sector},
journal = {RAIRO. Operations Research},
pages = {997--1013},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {2},
doi = {10.1051/ro/2021048},
mrnumber = {4254329},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2021048/}
}
TY - JOUR AU - Teixeira, Ana AU - Costa e Silva, Eliana AU - Lopes, Cristina TI - A mixed integer nonlinear multiperiod model for supply chain management of a company in the retail sector JO - RAIRO. Operations Research PY - 2021 SP - 997 EP - 1013 VL - 55 IS - 2 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2021048/ DO - 10.1051/ro/2021048 LA - en ID - RO_2021__55_2_997_0 ER -
%0 Journal Article %A Teixeira, Ana %A Costa e Silva, Eliana %A Lopes, Cristina %T A mixed integer nonlinear multiperiod model for supply chain management of a company in the retail sector %J RAIRO. Operations Research %D 2021 %P 997-1013 %V 55 %N 2 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2021048/ %R 10.1051/ro/2021048 %G en %F RO_2021__55_2_997_0
Teixeira, Ana; Costa e Silva, Eliana; Lopes, Cristina. A mixed integer nonlinear multiperiod model for supply chain management of a company in the retail sector. RAIRO. Operations Research, Tome 55 (2021) no. 2, pp. 997-1013. doi: 10.1051/ro/2021048
[1] , , and , A new mathematical model for closed-loop supply chains considering product pricing, fleet of heterogeneous vehicles, and inventory costs. J. Optim. Ind. Eng. 10 (2017) 29–40.
[2] and , An optimisation model for purchase, production and distribution in fish supply chain – a case study. Int. J. Prod. Res. 55 (2017) 3451–3464. | DOI
[3] , As cadeias de abastecimento e a sustentabilidade (Supply chains and sustainability). Boletim APDIO 55 (2016) 5–9.
[4] , , and , clValid: An R package for cluster validation. J. Stat. Softw. 25 (2008) 1–22. | DOI
[5] , and , KNITRO: An integrated package for nonlinear optimization. In: Large-scale Nonlinear Optimization. Springer (2006) 35–59. | MR | Zbl | DOI
[6] and , The relationship of strategic purchasing to supply chain management. Eur. J. Purchasing Supply Manage. 5 (1999) 43–51. | DOI
[7] , , and , Innovative supply chain optimization models with multiple uncertainty factors. Ann. Oper. Res. 257 (2017) 1–14. | MR | DOI
[8] , Logistics & Supply Chain Management. Pearson, UK (2016).
[9] and , Cadeias de abastecimento de produtos congelados (Supply chains of frozen products). Boletim APDIO 55 (2016) 18–21.
[10] , and , The NEOS server. IEEE J. Comput. Sci. Eng. 5 (1998) 68–75. | DOI
[11] , and , Modeling a multi-period multi-product closed-loop supply chain network design problem considering reused cost and capacity constraints. Int. J. Supply Oper. Manage. 4 (2017) 133–149.
[12] , Um modelo de reutilização de caixas do fornecedor: caso de estudo (A model for reusing supplier boxes). Master Thesis. Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa (2015).
[13] , The NEOS Server 4.0 administrative guide. Technical Memorandum ANL/MCS-TM-250. Mathematics and Computer Science Division, Argonne National Laboratory (2001). | DOI
[14] , , , and , Multiperiod model for the optimal production planning in the industrial gases sector. Appl. Energy 206 (2017) 667–682. | DOI
[15] and , Planning hierarchy, modeling and advanced planning systems. Handbooks Oper. Res. Manage. Sci. 11 (2003) 455–523. | DOI
[16] , and , Advanced planning. In: Supply Chain Management and Advanced Planning, Springer (2008) 81–106.
[17] , and , Sustainable supply chain management and inter-organizational resources: a literature review. Corporate Soc. Responsibility Environ. Manage. 17 (2010) 230–245. | DOI
[18] , and , Reverse logistics and closed-loop supply chain: a comprehensive review to explore the future. Eur. J. Oper. Res. 240 (2015) 603–626. | MR | DOI
[19] and , Optimization environments and the NEOS Server, edited by and . In: Approximation Theory and Optimization. Cambridge University Press (1997) 167–182. | MR | Zbl
[20] , , and , Physical distribution, logistics, supply chain management, and the material flow theory: a historical perspective. Inf. Technol. Manage. 18 (2017) 107–117. | DOI
[21] , and , Demand and supply chain planning in grocery retail: an operations planning framework. Int. J. Retail Distrib. Manage. 41 (2013) 512–530. | DOI
[22] and , Finding Groups in Data: An Introduction to Cluster Analysis. John Wiley & Sons (2009). | MR
[23] , and , AMPL: A Modeling Language for Mathematical Programming. Scientific Press, San Francisco (1993).
[24] and , Bridging organization theory and supply chain management: the case of best value supply chains. J. Oper. Manage. 25 (2007) 573–580. | DOI
[25] and , A mathematical programming model for global supply chain management: conceptual approach and managerial insights. In: Supply Chain Management: Models, Applications, and Research Directions (2002) 245–277. | Zbl
[26] and , Multiperiod competitive supply chain networks with inventorying and a transportation network equilibrium reformulation. Optim. Eng. 13 (2012) 471–503. | MR | Zbl | DOI
[27] , and , Decision support for build-to-order supply chain management through multiobjective optimization. Int. J. Prod. Econ. 135 (2012) 24–36. | DOI
[28] , A literature review on supply chain management evolution. In: Economic and Social Development: Book of Proceedings (2016) 482.
[29] , and , Facility location and supply chain management – a review. Eur. J. Oper. Res. 196 (2009) 401–412. | MR | Zbl | DOI
[30] and , A multiperiod model for production planning and design in a multiproduct batch environment. Math. Comput. Model. 49 (2009) 1372–1385. | Zbl | DOI
[31] and , A general modeling framework for the operational planning of petroleum supply chains. Comput. Chem. Eng. 28 (2004) 871–896. | DOI
[32] and , 15.053 Optimization methods in management science. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA (2018).
[33] , and , Mixed-integer multiperiod model for the planning of oilfield production. Comput. Chem. Eng. 26 (2002) 703–714. | DOI
[34] and , Multiperiod models with capacities in competitive supply chain. Prod. Oper. Manage. 17 (2008) 439–454. | DOI
[35] R Core Team, R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria https://www.R-project.org/ (2016).
[36] , , and , Evolution of sustainability in supply chain management: a literature review. J. Cleaner Prod. 162 (2017) 299–314. | DOI
[37] , and , Supply chain optimisation in a petrochemical complex. Comput. Aided Chem. Eng. 18 (2004) 997–1002. | DOI
[38] , A review of modeling approaches for sustainable supply chain management. Decis. Support Syst. 54 (2013) 1513–1520. | DOI
[39] , and , Designing and Managing the Supply Chain: Concepts, Strategies and Case Studies, 4th edition. McGraw-Hill Education (2019).
[40] , Supply chain management and advanced planning – basics, overview and challenges. Eur. J. Oper. Res. 163 (2005) 575–588. | Zbl | DOI
[41] and , Developing a consensus definition of supply chain management: a qualitative study. Int. J. Phys. Distrib. Logistics Manage. 39 (2009) 690–711. | DOI
[42] , , and , Supply chain purchasing domain optimization in a portuguese retail company. Springer Proc. Math. Stat. 278 (2019) 199–214.
[43] and , Fuzzy decision modeling for supply chain management. Fuzzy Sets and Systems 150 (2005) 107–127. | MR | Zbl | DOI
[44] , R and Data Mining: Examples and Case Studies. Academic Press (2012). | Zbl
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