caa a22 4500 60547012X CHVBK 20210128100326.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00500-014-1405-7 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1405-7 Designing closed-loop supply chains with nonlinear dimensioning factors using ant colony optimization [Elektronische Daten] [P. Vieira, S. Vieira, M. Gomes, A. Barbosa-Póvoa, J. Sousa] Closed-loop supply chain (CLSC) design implies the modelling of the forward and the reverse flows of products in an integrated way. This paper introduces nonlinear dimensioning factors in the design of CLSC and uses ant colony optimization to optimize the design of the supply chain. The proposed algorithm is called SCAnt-NLDesign. The modelled nonlinear dimensioning factors are: cost variations in transportation distances between facilities (tapering principle), scale economies related to transported quantities, and scale economies regarding the facilities' capacity. Results show that the proposed SCAnt-NLDesign algorithm reduced the total cost in 44%, when compared to a linear formulation of a CLSC. Note also that a mixed integer linear programming implementation of the nonlinear CLSC was not able to get closed to the optimal solution, given worse results than the linear CLSC. Springer-Verlag Berlin Heidelberg, 2014 Supply chain nationallicence Closed-loop supply chain nationallicence Ant colony optimization nationallicence Nonlinear dimensioning factors nationallicence Vieira P. LAETA, IDMEC, Instituto Superior Técnico, Universidade de Lisboa, 1049-001, Lisboa, Portugal aut Vieira S. LAETA, IDMEC, Instituto Superior Técnico, Universidade de Lisboa, 1049-001, Lisboa, Portugal aut Gomes M. Centro de Matemática e Aplicações, Faculdade de Ciências e Tecnologia, New University of Lisbon, 2829-516, Caparica, Portugal aut Barbosa-Póvoa A. Center for Management Studies (CEG-IST), Instituto Superior Técnico, Universidade de Lisboa, 2780-990, Porto Salvo, Portugal aut Sousa J. LAETA, IDMEC, Instituto Superior Técnico, Universidade de Lisboa, 1049-001, Lisboa, Portugal aut Soft Computing Springer Berlin Heidelberg 19/8(2015-08-01), 2245-2264 1432-7643 19:8<2245 2015 19 500 https://doi.org/10.1007/s00500-014-1405-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1405-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Vieira P. LAETA, IDMEC, Instituto Superior Técnico, Universidade de Lisboa, 1049-001, Lisboa, Portugal aut NATIONALLICENCE 700 1- Vieira S. LAETA, IDMEC, Instituto Superior Técnico, Universidade de Lisboa, 1049-001, Lisboa, Portugal aut NATIONALLICENCE 700 1- Gomes M. Centro de Matemática e Aplicações, Faculdade de Ciências e Tecnologia, New University of Lisbon, 2829-516, Caparica, Portugal aut NATIONALLICENCE 700 1- Barbosa-Póvoa A. Center for Management Studies (CEG-IST), Instituto Superior Técnico, Universidade de Lisboa, 2780-990, Porto Salvo, Portugal aut NATIONALLICENCE 700 1- Sousa J. LAETA, IDMEC, Instituto Superior Técnico, Universidade de Lisboa, 1049-001, Lisboa, Portugal aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/8(2015-08-01), 2245-2264 1432-7643 19:8<2245 2015 19 500