A branch-and-bound algorithm for the two-dimensional vector packing problem
Computers and Operations Research
There is no asymptotic PTAS for two-dimensional vector packing
Information Processing Letters
On multi-dimensional packing problems
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
New Algorithms for Bin Packing
Journal of the ACM (JACM)
Lower bounds and algorithms for the 2-dimensional vector packing problem
Discrete Applied Mathematics
Operations Research Letters
Iterative approaches for solving a multi-objective 2-dimensional vector packing problem
Computers and Industrial Engineering
Hi-index | 0.01 |
We consider the problem of efficiently packing steel products, known as coils, into special containers, called cassettes for shipping. The objective is to minimize the number of cassettes used for packing all the given coils where each cassette has capacity limits on both total payload weight and size. We model this problem as a two-dimensional vector packing problem and propose a heuristic. We also analyze the worst-case performance of the proposed algorithm under a special condition which, in fact, holds for the particular real-world case that we handled. Our computational experiment with real production data shows that the proposed algorithm performs quite satisfactorily in practice.