Modelo matemático Two-echelon Capacitated Vehicle Routing Problem para a logística de distribuição de encomendas
DOI:
https://doi.org/10.14295/transportes.v24i3.1095Keywords:
Two-Echelon Capacitated Vehicle Routing Problem, Heterogeneous Fleet, Site Dependence, Reverse Logistic.Abstract
Many cities are facing difficulties in urban mobility and therefore are imposing restrictions on the movement of larger trucks. Thus, logistics companies developed a two level logistics strategy based on Urban Distribution Centers (CDU) that receives larger trucks and split the cargo to put in small trucks to distribute to customers. To support this type of logistics planning, this paper presents an adaptation of a mathematical model based on the Two-echelon capacitated Vehicle Routing Problem (2E-CVRP) to plan the routes from the central depot to the satelites and from these to the clients. The model was applied to the logistics of Correios in the metropolitan area of the Espírito Santo, Brazil, and instances with up to 4 CDU and 25 clients were tested using CPLEX solver 12.6 obtaining routes for deliveries at both levels.
Downloads
References
Baldacci, R.; Mingozzi, A. e Roberti, R. (2013) An Exact Algorithm for the Two-Echelon Capacitated Vehicle Routing Problems. Operations Research, v. 61, n. 2, p. 298-314. DOI: 10.1287/opre.1120.1153
Crainic, T.G.; Mancini, S.; Perboli, G. e Tadei, R. (2012) GRASP with path relinking for the two-echelon vehicle routing problem. CIRRELT, v. 45.
Crainic, T. G.; Mancini, S.; Perboli, G.; Tadei, R. (2008) Lower Bounds for the Two-Echelon Vehicle Routing Problem. Anais do EU/MEETING, Troyes, France.
Crainic, T.G.; Mancini, S.; Perboli, G. e Tadei, R. (2010) Multi-start heuristics for the two-echelon vehicle routing problem. CIRRELT, v. 30.
Crainic, T. G.; Ricciardi, N. e Storchi, G. (2009) Models for Evaluating and Planning City Logistics Systems. CIRRELT, v. 11.
Cuda, R.; Guastaroba, G. e Speranza, M. G. (2015) A survey on two-echelon routing problems. Computers & Operations Research, v. 55, p. 185-199. DOI: 10.1016/j.cor.2014.06.008
Feliu, J. G.; Perboli, G.; Tadei, R. e Vigo, D. (2007) The Two-echelon Capacitated Vehicle Routing Problem. Technical Report, Control and Computer Department Politecnico de Torino, University of Bologna, Bologna, Italy.
Grangier, P.; Gendreau, M.; Lehuédé, F. e Rousseau, L. M. (2014) An Adaptive Large Neighborhood Search for the Two-Echelon Multiple-Trip Vehicle Routing Problem with Satellite Synchronization. CIRRELT, v. 33.
Hemmelmayr, V. C.; Cordeau, J. F. e Crainic, T. G. (2012) An adaptive large neighborhood search heuristic for two-echelon vehicle routing problems arising in city logistics. Computers & Operations Research, v. 39, p. 3215–28. DOI: 10.1016/j.cor.2012.04.007
Jepsen, M.; Røpke, S. e Spoorendonk, S. (2013) A branch-and-cut algorithm for the symmetric two-echelon capacitated vehicle routing problem. Transportation Science., v. 47, n. 1, p. 23–37. DOI: 10.1287/trsc.1110.0399
Mancini, S. (2013) Multi-Echelon Distribution Systems in City Logistics. European Transport, v. 54, n. 2.
MAPACep. Pesquisa geral no site. Disponível em: <http://www.mapacep.com.br/distancia-ceps.asp>. Acesso em: 04 jul. 2015.
Meihua, W.; Xuhong, T.; Shan, C. e Shumin, W. (2011) Hybrid ant colony optimization algorithm for two echelon vehicle routing problem. Procedia Engineering, v. 15, p. 3361 – 3365. DOI: 10.1155/2014/517467
Perboli, G. e Tadei, R. (2010) New Families of Valid Inequalities for the Two-Echelon Capacitated Vehicle Routing Problems. Electronic Notes in Discrete Mathematics, v. 36, p. 639–646. DOI:10.1016/j.endm.2010.05.081
Perboli, G.; Tadei, R. e Vigo, D. (2011) The Two-Echelon Capacitated Vehicle Routing Problems. Transportation Science, v. 45, n. 3, p. 364-380. DOI: 10.1287/trsc.1110.0368
Portal Transporta Brasil (2014). Pesquisa geral no site. Disponível em: <http://www.transportabrasil.com.br/2014/11/mais-de-cem-municipios-do-brasil-ja-criaram-restricao-ao-transito-de-caminhoes/>. Acesso em: 03 jul. 2015.
Quak, H. (2008) Sustainability of Urban Freight Transport - Retail Distribution and Local Regulations in Cities. Erasmus research institute of management, Rotterdam.
Santos, F. A.; Da Cunha, A. S. e Mateus, G. R. (2013) Branch-and-price algorithms for the Two-Echelon Capacitated Vehicle Routing Problem. Optimization Letters, v. 7, p. 1537–1547. DOI: 10.1007/s11590-012-0568-3
Sitek, P. e Wikarek J. (2014) A novel integrated approach to the modelling and solving of the Two-Echelon Capacitated Vehicle Routing Problem. Production & Manufacturing Research: An Open Access Journal, v. 2, n. 1, p. 326-340. DOI: 10.1080/21693277.2014.910716
Soysal, M., Bloemhof-Ruwaard, J. M. e Bektas, T. (2014) The time-dependent two-echelon capacitated vehicle routing problem with environmental considerations. International Journal of Production Economics, v. 164, p. 366-378. DOI: 10.1016/j.ijpe.2014.11.016
Zheng-Yang, Z.; Wei-Sheng, X.; Zhi-Yu, X.; Wei-Hui, S. (2014) A Hybrid GRASP+VND Heuristic for the Two-Echelon Vehicle Routing Problem Arising in City Logistics. Mathematical Problems in Engineering, v. 2014, p. 1-11. DOI: 10.1155/2014/517467
Downloads
Published
How to Cite
Issue
Section
License
Authors who submit papers for publication by TRANSPORTES agree to the following terms:
- Authors retain copyright and grant TRANSPORTES the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors may enter into separate, additional contractual arrangements for the non-exclusive distribution of this journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in TRANSPORTES.
- Authors are allowed and encouraged to post their work online (e.g., in institutional repositories or on their website) after publication of the article. Authors are encouraged to use links to TRANSPORTES (e.g., DOIs or direct links) when posting the article online, as TRANSPORTES is freely available to all readers.
- Authors have secured all necessary clearances and written permissions to published the work and grant copyright under the terms of this agreement. Furthermore, the authors assume full responsibility for any copyright infringements related to the article, exonerating ANPET and TRANSPORTES of any responsibility regarding copyright infringement.
- Authors assume full responsibility for the contents of the article submitted for review, including all necessary clearances for divulgation of data and results, exonerating ANPET and TRANSPORTES of any responsibility regarding to this aspect.