Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4959878 | European Journal of Operational Research | 2017 | 11 Pages |
Abstract
The two-dimensional vector packing problem with piecewise linear cost function (2DVPP-PLC) models a practical packing problem faced by many companies that use courier services. We propose a branch-and-price algorithm to solve the 2DVPP-PLC exactly. The column generation procedure is a key component that affects the performance of a branch-and-price algorithm. The pricing problem exhibits an interesting structure that allows us to decompose it into subproblems that form a lattice. We explore dominance relations on the lattice and design an efficient algorithm for the pricing problem. Experimental results show that our branch-and-price algorithm is capable of solving 2DVPP-PLC test instances effectively.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Qian Hu, Wenbin Zhu, Hu Qin, Andrew Lim,