...
DOI:
https://doi.org/10.14295/transportes.v23i4.920Keywords:
2L-CVRP, WB2L-HFVRP, Supply Logistics, Offshore platforms.Abstract
Oil is vital in the world, and in Brazil the exploration occurs mainly on the sea where offshore platforms are implanted far from the coast. Therefore it is important to plan the logistics of supply through offshore support vessels. This article proposes a mathematical model of Mixed Integer Linear Programming named Weight Balance Two-Dimensional Loading Heterogeneous Fleet Vehicle Routing Problem (WB2L-HFVRP) applied to the offshore platform supply logistics planning aiming to create routes that consider the nautical balance and the better stowage of cargo on deck. This model differs from other models because it considers heterogeneous fleet and uses a objective function that aims to minimize the number of ships, the sailed distance, and the difference between the weights distributed between the sides of the ship, the nautical balance. The model was tested on instances based on real data from Petrobras in CPLEX 12.6 and achieved a reduction of at most 25% compared to the actual traveled distance.Downloads
References
Aas, B.; Gribkovskaia, I.; Halskau Sr, Ø.; Shlopak, A. (2007) Routing of supply vessels to petroleum installations. Intern. Journal of Physical Distribution & Logistics Management, v. 37, n. 2, p.164-179.
DOI: http://dx.doi.org/10.1108/09600030710734866.
Abdal-Hammed, M.K.; Hifi, M.; Wu; L. (2014) Large neighborhood search for the vehicle routing problem with two-dimensional loading constraints. In: International Conference on Control, Decision and Information Technologies (CoDIT). IEEE, p. 054-059. DOI: 10.1109/CoDIT.2014.6996867.
A Gazeta. Novos terminais e plataformas no Estado: Plano confirma nova unidade na área de gás no Norte até 2016. Disponível em: gazetaonline.globo.com/_conteudo/2012/06/noticias/a_gazeta/economia/1287494-novos-terminais-e-plataformas-no-estado.html. Acesso em 15 de janeiro de 2014.
Almeida, M. R. de. (2009) Algoritmos Genéticos Aplicados a Programação de Embarcações de Apoio às Operações “Offshore”. Anais do XLI Simpósio Brasileiro de Pesquisa Operacional, SOBRAPO, Bahia.
Araujo, R. R. de. (2010) Uma abordagem de resolução integrada para os problemas de roteirização e carregamento de veículos. 173 f. Tese Doutorado, PPGEP, UFRGS, Porto Alegre.
Bin, W.; Hong, C.; Zhi-Yong, C. (2013) Artificial bee colony algorithm for two-dimensional loading capacitated vehicle routing problem. In: ICMSE, IEEE, p. 406-412. DOI: 10.1109/ICMSE.2013.6586313.
Brejon, S.; Brinati, M. A. (1998) Algoritmo para resolução do problema de programação do transporte de suprimentos para unidades marítimas de exploração de petróleo. Dissertação de Mestrado. Escola Politécnica, Universidade de São Paulo.
Click Macaé. Diagrama do Fluxo de Petróleo na Bacia de Campos. Disponível em: www.clickmacae.com.br/?sec=361&pag=pagina&cod=545. Acesso em 10 de janeiro de 2015.
Côté, J.-F.; Gendreau, M.; Potvin, J.-Y. (2013) The Vehicle Routing Problem with Stochastic Two-Dimensional Items, CIRRELT-2013-84.
Dominguez, O.; Juan, A. A.; Faulin, J. A. (2014a) A biased‐randomized algorithm for the two‐dimensional vehicle routing problem with and without item rotations. Intern. Transactions in Operational Research, p. 1-14. DOI:10.1111/itor.12070.
Dominguez, O.; Juan, A. A.; Barrios, B.; Faulin, J.; Agustin, A. (2014b) Using biased randomization for solving the two-dimensional loading vehicle routing problem with heterogeneous fleet. Annals of Operations Research, p. 1-22. DOI: 10.1007/s10479-014-1551-4.
Duhamel, C.; Lacomme, P.; Quilliot, A.; Toussaint, H. (2011) A multi-start evolutionary local search for the two-dimensional loading capacitated vehicle routing problem. Computers & Operations Research, v. 38, n. 3, p. 617-640.DOI: 10.1016/j.cor.2010.08.017.
Fagerholt, K.; Lindstad, H. (2000) Optimal policies for maintaining a supply service in the Norwegian Sea. Omega, v. 28, n. 3, p. 269-275. DOI: 10.1016/S0305-0483(99)00054-7.
Ferro, F.; Teixeira, P. (2009) Os desafios do Pré-Sal. Brasília: Câmara dos Deputados. 78 p.
Fuellerer, G.; Doerner, K. F.; Hartl, R. F.; Iori, M. (2009) Ant colony optimization for the two-dimensional loading vehicle routing problem. Computers & Operations Research, v. 36, p. 655 – 673. DOI: 10.1016/j.cor.2007.10.021.
Friedberg, D. O.; Uglane, V. T. (2013) Routing and Scheduling of Platform Supply Vessels: Case from the Brazilian Petroleum Industry. 2013. Thesis (Master in Applied Economics and Optimization) – Department of Industrial Economics and Technology Management, Norwegian University of Science and Technology (NTNU), Norway.
Gendreau, M.; Iori, M.; Laporte, G.; Martello, S. (2008) A Tabu Search heuristic for the vehicle routing problem with two-dimensional loading constraints. Networks, v. 51, n. 1, p. 4–18. DOI: 10.1002/net.20192.
Gribkovskaia, I.; Laporte, G.; Shlopak, A. (2008) A tabu search heuristic for a routing problem arising in servicing of offshore oil and gas platforms. Journal of the Operational Research Society, v. 59, n. 11, p. 1449-1459. DOI: 10.1057/palgrave.jors.2602469.
Halvorsen-Weare, E. E.; Fagerholt, K. (2011) Robust supply vessel planning. Network Optimization. Springer Berlin Heidelberg, p. 559-573. DOI: 10.1007/978-3-642-21527-8_62.
Halvorsen-Weare, E. E.; Fagerholt, K.; Nonås, L. M.; Asbjørnslett, B. E.(2012) Optimal fleet composition and periodic routing of offshore supply vessels. European Journal of Operational Research, v. 223, p. 508-517.
DOI : 10.1016/j.ejor.2012.06.017.
Hamdi-dhaoui, K. ; Labadie, N.; Yalaoui, A. (2012) Problème de tournées de véhicules avec chargement bidimensionnel et contraintes de conflits partiels multi-objectif. Proceedings of MOSIM'12.
Henty, F. C.; Meza, B. M.; Vianna, D. S.; Vianna, M. De F. D. (2012) Um Modelo Matemático para a Programação e Roteirização de Embarcações de Apoio à Exploração de Petróleo Offshore. In: Encontro Nacional de Engenharia de Produção, 32, 2012, Bento Gonçalves (RS). Anais... Bento Gonçalves (RS): ABEPRO.
Iori, M.; Gonzáles, J. J. S.; Vigo, D. (2007) An exact approach for the vehicle routing problem with two-dimensional loading constraints. Transportation Science, v. 41 (2), p. 253-264. DOI: http://pubsonline.informs.org/doi/abs/10.1287/trsc.1060.0165.
Khebbache-hadji, S. ; Prins, C.; Yalaoui, A.; Reghioui, M. (2013) Heuristics and memetic algorithm for the two-dimensional loading capacitated vehicle routing problem with time windows. Central European Journal of Operations Research, v. 21, n. 2, p. 307-336.
DOI: 10.1007/s10100-011-0204-9.
Leung, S. C. H.; Zheng, J.; Zhang, D.; Zhou, X.(2010) Simulated annealing for the vehicle routing problem with two-dimensional loading constraints. Flexible services and manufacturing journal, v. 22, p. 61-82.
DOI: 10.1007/s10696-010-9061-4.
Leung, S. C. H.; Zhou, X.; Zhang, D.; Zheng, J. (2011) Extended guided tabu search and a new packing algorithm for the two-dimensional loading vehicle routing problem. Computers & Operations Research, v. 38, p. 205 – 215. DOI: 10.1016/j.cor.2010.04.013.
Leung, S. C. H.; Zhang, Z..; Zhang, D.; Hua, X.; Lim, M. K. (2013) A meta-heuristic algorithm for heterogeneous fleet vehicle routing problems with two-dimensional loading constraints. European Journal of Operational Research, v. 225, p. 199–210. DOI: 10.1016/j.ejor.2012.09.023.
Lopes, P. H. M. (2011) Uma Solução para o Problema de Roteamento de Embarcações de Apoio “Offshore” através da Metaheurística RTR. Dissertação de Mestrado, COPPE, UFRJ, Rio de Janeiro.
Martínez, L.; Amaya, C. A. (2013) A vehicle routing problem with multi-trips and time windows for circular items. Journal of the Operational Research Society, v. 64, n. 11, p. 1630-1643. DOI: 10.1057/jors.2012.128.
Muñoz, A. L. (2011) Solución al problema de ruteo de vehículos con restricciones de capacidad y reordenamiento de carga en los sitios de demanda. 84 f. Tesis Doutorado, PUC de Chile, Chile.
Norlund, E. K.; Gribkovskaia, I. (2013) Reducing emissions through speed optimization in supply vessel operations. Transportation Research Part D: Transport and Environment, v. 23, p. 105-113. DOI: 10.1016/j.trd.2013.04.007.
Panamarenka, K. Minimization of emissions in periodic supply vessel planning through speed optimization. 2011. Thesis (Master in Logistics) – Molde University College, Norway, 2011.
Ribeiro, L. S.; Iachan, R. (2009) Dimensionamento da Frota de Supridores para Plataformas de Petróleo. Anais do XLI Simpósio Brasileiro de Pesquisa Operacional, SOBRAPO, Bahia.
Shen, Y.; Murata, T. (2012) Pick-up Scheduling of Two-dimensional Loading in Vehicle Routing Problem by using GA. In: Proceedings of the International MultiConference of Engineers and Computer Scientists, IMECS, v. 2, p. 1532-1537, Hong Kong.
Shyshou, A.; Fagerholt, K.; Gribkovskaia, I.; Laporte, G. (2012) A large neighbourhood search heuristic for a periodic supply vessel planning problem arising in offshore oil and gas operations. INFOR: Information Systems and Operational Research, v. 50, n. 4, p. 195-204. DOI: http://dx.doi.org/10.3138/infor.50.4.195.
Sopot, E.; Gribkovskaia, I. (2014) Routing of Supply Vessels to with Deliveries and Pickups of Multiple Commodities. Procedia Computer Science, v. 31, p. 910-917. DOI: 10.1016/j.procs.2014.05.343.
Strodl, J.; Doerner, K.F.; Tricoire, F.; Hartl, R.F. (2010) On index structures in hybrid metaheuristics for routing problems with hard feasibility checks: An application to the 2-dimensional loading vehicle routing problem. In: Blesa, M.J.; Blum, C.; Raidl, G.; Roli, A.; Sampels, M. Hybrid Metaheuristics, v. 6373 of Lecture Notes in Computer Science, p. 160-173, Springer Berlin Heidelberg. DOI: 10.1007/978-3-642-16054-7_12.
Vaquero, T. S.; Costa, G.; Tonidandel, F.; Igreja, H.; Silva, J. R.; Beck, C. (2012) Planning and Scheduling Ship Operations on Petroleum Ports and Platforms. In: Proceedings of the Scheduling and Planning Applications Workshop. p. 8-16.
Vianna, D. S.; Meza, E. B. M.; Hentzy, F. C.; Martins, C. B.; Medeiros, A. P. (2012) Heurísticas Baseadas em Busca Local para a Programação e Roteirização de Embarcações de Apoio à Exploração de Petróleo OffShore, Analisando Múltiplas Estruturas de Vizinhança. Anais do XLIV SOBRAPO, Rio de janeiro.
Zachariadis, E. E.; Kiranoudis, C. T.; Tarantilis, C. D. (2009) A Guided Tabu Search for the Vehicle Routing Problem with two-dimensional loading constraints. European Journal of Operational Research, v. 195, n. 3, p. 729–743. DOI: 10.1016/j.ejor.2007.05.058.
Zachariadis, E. E.; Tarantilis, C. D.; Kiranoudis, C. T. (2013) Integrated distribution and loading planning via a compact metaheuristic algorithm. European Journal of Operational Research, v. 228, p. 56–71. DOI: 10.1016/j.ejor.2013.01.040.
Wei, L., Zhang, Z., Zhang, D., Lim, A. (2015) A variable neighborhood search for the capacitated vehicle routing problem with two-dimensional loading constraints. European Journal of Operational Research, v. 243, n.3, p. 798-814. DOI: 10.1016/j.ejor.2014.12.048.
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, and to be adapted for non-commercial purposes, provided appropriate credit is given and any derivative works are distributed under the same terms.
- 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.