Mathematical model for supply chain design with time postponement
DOI:
https://doi.org/10.14295/transportes.v26i4.1324Keywords:
Suplly chain design, Time postponement, Mathematical Model.Abstract
Designing a supply chain is a major strategic issue due to its impact on efficiency and responsiveness. The design becomes more complex when the goal is to reduce distribution costs and use the time postponement in the supply chain. The mathematical models currently studied in the literature consider various actors involved in the network. However, in real problems there are different combinations of actors, creating own transportation flows and increasing the complexity of a supply chain. This paper proposes a model for designing supply chains with time postponement from a mixed integer non-linear programming formulation to minimize the total costs, considering the transportation, facilities opening and operational costs. The model allows the possibility of a hybrid facility, that is, two kinds of facilities opened in the same place, an important opportunity to saving costs. Some sets of instances were simulated to find the optimal solution of that model and analyze the supply chain behavior in different instances sizes. These scenarios were solved by a commercial solver and its performance was assessed. The model presents feasibility of use for small and medium-sized instances with enough computing time to aid in management decision making.
Downloads
References
Alderson, W. (1950) Marketing efficiency and the principle of postponement. Cost and profit outlook. v. 3, pp. 15-18.
Aviv, Y.; and A. Federgruen (2001) Design for postponement: A comprehensive characterization of its benefits under unknown demand distributions. Operations Research, v. 49(4), pp. 578-598.
Cardoso, P. A. (2002) The Principle of Postponement: a study at the supply chain of printing inks. Rio de Janeiro: PUC – Pontifícia Universidade Católica. Doctoral dissertation, 161 p.
Çelebi, D. (2015) Inventory control in a centralized distribution network using genetic algorithms: A case study. Computers & Industrial Engineering, v. 87, pp. 532-539.
Das, C., and R. Tyagi (1997) Role of inventory and transportation costs in determining the optimal degree of centralization. Transportation Research Part E: Logistics and Transportation Review, v. 33(3), p. 171-179.
Eynan, A. (1999) The multi-location inventory centralization problem with first-come, first-served allocation. European Journal of Operational Research, Vol. 114(1), pp. 38-49.
Fernandes, B. C.; F. H. Galamba, F. H.; Tosta; L. I. and R. S. Lima (2011) Impactos da utilização de centros de distribuição na logística de distribuição de produtos acabados. Revista de literatura do transporte, v. 5, pp. 163-181.
Ferreira, K. A. (2009) Uma estrutura conceitual para aplicação do postponement: estudo multicaso em empresas da indústria de alimentos. São Carlos: UFSCar – Universidade Federal de São Carlos. Doctoral dissertation, 203 p.
Ferreira, K. A., and R. L. C. Alcantara (2011) Postponement: abordagens para sua aplicação em empresas da indústria de alimentos. In. XXXI Encontro Nacional de Engenharia de Produção, Belo Horizonte, pp 1-14.
García‐Dastugue, S. J. and D. M. Lambert (2007) Interorganizational time‐based postponement in the supply chain. Journal of Business Logistics, v. 28(1), pp. 57-81
Gaur, S.; and A. R. Ravindran (2006) A bi-criteria model for the inventory aggregation problem under risk pooling. Computers & industrial engineering, v. 51(3), pp. 482-501.
IBM (2012) IBM ILOG CPLEX v12.5: User’s manual for CPLEX.
Lau, H. S., and A. H. L. Lau (1996) The newsstand problem: A capacitated multiple-product single-period inventory problem. European Journal of Operational Research, v. 94(1), pp. 29-42.
Kutanoglu, E.; and D. Lohiya (2008) Integrated inventory and transportation mode selection: A service parts logistics system. Transportation Research Part E: Logistics and Transportation Review, v. 44(5), p. 665-683.
Nozick, L. K., and M. A.Turnquist (2001) Inventory, transportation, service quality and the location of distribution centers. European Journal of Operational Research, v. 129(2), pp. 362-371.
Pishvaee, M. R., Farahani, R. Z., and Dullaert, W (2010). A memetic algorithm for bi-objective integrated foward/reverse logistic network design. Computers & Operations Research, v. 37, pp. 1100 – 1112.
Razmi, J., A. Zahedi-Anaraki, and M. Zakerinia, M. (2013) A bi-objective stochastic optimization model for reliable warehouse network redesign. Mathematical and Computer Modelling, v. 58(11), pp. 1804-1813.
Rodrigues, E. F., and N. D. Pizzolato.(2013) The economy of distribution centers: The case of large retail networks in Brazil. African Journal of Business Management, v. 7, pp. 1541-1552.
Santos, A. (2006) Centros de distribuição como vantagem competitiva. Revista de ciências gerenciais, Vol. 10, pp. 34-40.
Servare Junior, M. W. J., G. M. Ribeiro, and G. L. D. Chaves (2012). Um modelo matemático para redes logísticas com fluxos diretos e reversos e novos integrantes. Proceedings of XXXII Encontro Nacional de Engenharia de Produção, ABEPRO, Bento Gonçalves, pp. 1-14.
Servare Junior, M. W. J., and P. A. Cardoso (2016) Time postponement in supply chain: a mathematical programming review. Proceedings of 23rd European Management Operations Association Conferece, EUROMA, Trondheim, pp. 1-16.
Downloads
Published
How to Cite
Issue
Section
License
Authors who submit papers for publication by TRANSPORTES agree to the following terms:
- The authors retain the copyright and grant Transportes the right of first publication of the manuscript, without any financial charge, and waive any other remuneration for its publication by ANPET.
- Upon publication by Transportes, the manuscript is automatically licensed under the Creative Commons License CC BY 4.0 license. This license permits the work to be shared with proper attribution to the authors and its original publication in this journal.
- Authors are authorized to enter into additional separate contracts for the non-exclusive distribution of the version of the manuscript published in this journal (e.g., publishing in an institutional repository or as a book chapter), with recognition of the initial publication in this journal, provided that such a contract does not imply an endorsement of the content of the manuscript or the new medium by ANPET.
- Authors are permitted and encouraged to publish and distribute their work online (e.g., in institutional repositories or on their personal websites) after the editorial process is complete. As Transportes provides open access to all published issues, authors are encouraged to use links to the DOI of their article in these cases.
- Authors guarantee that they have obtained the necessary authorization from their employers for the transfer of rights under this agreement, if these employers hold any copyright over the manuscript. Additionally, authors assume all responsibility for any copyright infringements by these employers, releasing ANPET and Transportes from any responsibility in this regard.
- Authors assume full responsibility for the content of the manuscript, including the necessary and appropriate authorizations for the disclosure of collected data and obtained results, releasing ANPET and Transportes from any responsibility in this regard.




