Sciweavers

5
Voted
EOR
2007

The minimum size instance of a Pallet Loading Problem equivalence class

13 years 2 months ago
The minimum size instance of a Pallet Loading Problem equivalence class
The Pallet Loading Problem (PLP) maximizes the number of identical rectangular boxes placed within a rectangular pallet. Boxes may be rotated 90° so long as they are packed with edges parallel to the pallet’s edges, i.e., in an orthogonal packing. This paper defines the Minimum Size Instance (MSI) of an equivalence class of PLP, and shows that every class has one and only one MSI. We develop bounds on the dimensions of box and pallet for the MSI of any class. Applying our new bounds on MSI dimensions, we present an algorithm for MSI generation and use it to enumerate all 3,080,730 equivalence classes with an area ratio (pallet area divided by box area) smaller than 101 boxes. Previous work only provides bounds on the ratio of box dimensions and only considers a subset of all classes presented here. Ó 2006 Elsevier B.V. All rights reserved.
Gustavo H. A. Martins, Robert F. Dell
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where EOR
Authors Gustavo H. A. Martins, Robert F. Dell
Comments (0)