Pickup and Delivery Problem with Two Dimensional Loading/Unloading Constraints

作者: Jefferson L. M. da Silveira , Eduardo C. Xavier

DOI: 10.1007/978-3-319-11421-7_3

关键词:

摘要: This article addresses the Pickup and Delivery Problem with Two Dimensional Loading/Unloading Constraints. In this problem, we are given a weighted complete graph 2n + 1 vertices, collection \({\mathcal S} = \{S_1, \ldots, S_n\}\) of sets rectangular items bin B width W height H. Vertex 0 is depot remaining vertices grouped into n pairs (p i ,d ), ≤ representing pickup delivery point for each costumer. Each set S corresponds to that have be transported from p d . As in well-known Problem, find shortest Hamiltonian cycle (route) such vertex visited before n, but here additional constraint there must exist feasible packing all S}\) satisfying loading unloading constraints. These constraints ensure exists free way insert/remove into/from along route. To best our knowledge first work address which considers practical Our main contribution proposal two exact algorithms GRASP heuristic providing an extensive computational experiment these showing they can effectively used solve problem.

参考文章(20)
Sophie N. Parragh, Karl F. Doerner, Richard F. Hartl, A survey on pickup and delivery problems Journal für Betriebswirtschaft. ,vol. 58, pp. 21- 51 ,(2008) , 10.1007/S11301-008-0033-7
Michel Gendreau, Manuel Iori, Gilbert Laporte, Silvaro Martello, A Tabu search heuristic for the vehicle routing problem with two-dimensional loading constraints Networks. ,vol. 51, pp. 4- 18 ,(2008) , 10.1002/NET.V51:1
K.S. Ruland, E.Y. Rodin, The pickup and delivery problem: Faces and branch-and-cut algorithm Computers & Mathematics With Applications. ,vol. 33, pp. 1- 13 ,(1997) , 10.1016/S0898-1221(97)00090-4
Jefferson LM Da Silveira, Flavio K Miyazawa, Eduardo C Xavier, None, Heuristics for the strip packing problem with unloading constraints Computers & Operations Research. ,vol. 40, pp. 991- 1003 ,(2013) , 10.1016/J.COR.2012.11.003
Emmanouil E. Zachariadis, Christos D. Tarantilis, Christos T. Kiranoudis, A Guided Tabu Search for the Vehicle Routing Problem with two-dimensional loading constraints European Journal of Operational Research. ,vol. 195, pp. 729- 743 ,(2009) , 10.1016/J.EJOR.2007.05.058
Guenther Fuellerer, Karl F. Doerner, Richard F. Hartl, Manuel Iori, Ant colony optimization for the two-dimensional loading vehicle routing problem Computers & Operations Research. ,vol. 36, pp. 655- 673 ,(2009) , 10.1016/J.COR.2007.10.021
Chazelle, The Bottomn-Left Bin-Packing Heuristic: An Efficient Implementation IEEE Transactions on Computers. ,vol. 32, pp. 697- 707 ,(1983) , 10.1109/TC.1983.1676307
Jacques Renaud, Fayez F. Boctor, Gilbert Laporte, Perturbation heuristics for the pickup and delivery traveling salesman problem Computers & Operations Research. ,vol. 29, pp. 1129- 1141 ,(2002) , 10.1016/S0305-0548(00)00109-X
Andrea Lodi, Silvano Martello, Daniele Vigo, Heuristic and Metaheuristic Approaches for a Class of Two-Dimensional Bin Packing Problems Informs Journal on Computing. ,vol. 11, pp. 345- 357 ,(1999) , 10.1287/IJOC.11.4.345
Leonardo Junqueira, José F. Oliveira, Maria Antónia Carravilla, Reinaldo Morabito, An optimization model for the vehicle routing problem with practical three-dimensional loading constraints International Transactions in Operational Research. ,vol. 20, pp. 645- 666 ,(2013) , 10.1111/J.1475-3995.2012.00872.X