A Comparative Study of Exact Algorithms for the Two Dimensional Strip Packing Problem

Exact algorithms for the two-dimensional strip packing problem with and without rotations

We examine various strategies for exact approaches to the 2dimensional strip packing problem (2SP) with and without rotations of 90 degrees. We first develop a branch-and-bound algorithm based on the sequence pair representation. Next, we focus on the perfect packing problem (PP), which is a special case of 2SP where all given rectangles are required to be packed without wasted space, and desig...

A genetic algorithm for the two-dimensional strip-packing problem

The paper presents a genetic algorithm (GA) for the two-dimensional strip-packing problem (SPP) with rectangular shaped pieces. Both the non-guillotinable SPP and the guillotinable SPP can be tackled. The genetic algorithm has been derived from a GA that was proposed earlier for solving the container-loading problem (CLP) with a single container to be loaded. The characteristic features of the ...

Exact Algorithms for the 2-Dimensional Strip Packing Problem with and without Rotations

We propose exact algorithms for the 2-dimensional strip packing problem (2SP) with and without 90 degrees rotations. We first focus on the perfect packing problem (PP), which is a special case of 2SP, wherein all given rectangles are required to be packed without wasted space, and design branch-and-bound algorithms introducing several branching rules and bounding operations. A combination of th...

Parallelisation of the Two-dimensional Guillotine Strip Packing/Cutting Problem

An Exact Method for the 2D Guillotine Strip Packing Problem

We consider the two-dimensional strip packing problem with guillotine cuts. The problem consists in packing a set of rectangular items on one strip of width W and infinite height. The items packed without overlapping must be extracted by a series of cuts that go from one edge to the opposite edge guillotine constraint . To solve this problem, we use a dichotomic algorithm that uses a lower boun...