Design of a Logistics Nonlinear System for a Complex, Multiechelon, Supply Chain Network with Uncertain Demands
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Fecha
2018
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
ISSN de la revista
Título del volumen
Editor
Hindawi Limited
Nombre de Curso
Licencia CC
Licencia CC
Resumen
Industrial systems, such as logistics and supply chain networks, are complex systems because they comprise a big number of interconnected actors and significant nonlinear and stochastic features. This paper analyzes a distribution network design problem for a four-echelon supply chain. The problem is represented as an inventory-location model with uncertain demand and a continuous review inventory policy. The decision variables include location at the intermediate levels and product flows between echelons. The related safety and cyclic inventory levels can be computed from these decision variables. The problem is formulated as a mixed integer nonlinear programming model to find the optimal design of the distribution network. A linearization of the nonlinear model based on a piecewise linear approximation is proposed. The objective function and nonlinear constraints are reformulated as linear formulations, transforming the original nonlinear problem into a mixed integer linear programming model. The proposed approach was tested in 50 instances to compare the nonlinear and linear formulations. The results prove that the proposed linearization outperforms the nonlinear formulation achieving convergence to a better local optimum with shorter computational time. This method provides flexibility to the decision-maker allowing the analysis of scenarios in a shorter time. © 2018 Aaron Guerrero Campanur et al.
Notas
Indexación: Scopus.
This research was supported by Programa para el Mejoramiento del Profesorado PROMEP (Grant ITESUR-001 Charter no. PROMEP/103.5/10/5709) and Universidad Panamericana (Grant no. UP-CI-2018-ING-GDL-06).
This research was supported by Programa para el Mejoramiento del Profesorado PROMEP (Grant ITESUR-001 Charter no. PROMEP/103.5/10/5709) and Universidad Panamericana (Grant no. UP-CI-2018-ING-GDL-06).
Palabras clave
Decision making, Integer programming, Linearization, Nonlinear programming, Nonlinear systems, Piecewise linear techniques, Stochastic systems, Supply chains
Citación
Complexity, 2018, art. no. 4139601.