GRASP for set packing problems

A Novel GRASP Algorithm for Solving the Bin Packing Problem

The Bin Packing Problem (BPP) is one of the most known combinatorial optimization problems. This problem consists in packing a set of items into a minimum number of bins. There are several variants of this problem; the most basic problem is the onedimensional bin packing problem (1-BPP). In this paper, we present a new approach based on the GRASP procedure to deal with the1-BPP problem. The fir...

Metaheuristics International Conference ? ? - 1 GRASP heuristic for the strip packing problem ∗

The rectangular Strip Packing Problem (SPP) consists of packing a given set of rectangles in a rectangular strip with fixed width w and variable height minimizing the height of the packing. In this work we propose a ”Greedy Randomized and Adaptive Constructive” heuristic, a GRASP metaheuristic without the post-processing phase, for the SPP in the version where the rectangles can be freely rotat...

Reactive GRASP for the strip-packing problem

This paper presents a greedy randomized adaptive search procedure (GRASP) for the strip packing problem, which is the problem of placing a set of rectangular pieces into a strip of a given width and infinite length so as to minimize the required length. We investigate several strategies for the constructive and improvement phases and several choices for critical search parameters. We perform ex...

GRASP-VNS hybrid for the Strip Packing Problem

In this work we consider an hybrid metaheuristic approach to solve the Strip Packing Problem. In the hybrid algorithm, we use an Variable Neighbourhood Search (VNS) to improve the quality of part of the solution obtained with a Greedy Randomized Adaptive Search Procedure (GRASP). Then, the results achieved with the hybrid method are compared with those existing in the literature. From these res...

 Abstract: Packing rectangular shapes into a rectangular space is one of the most important discussions on Cutting & Packing problems (C;P) such as: cutting problem, bin-packing problem and distributor's pallet loading problem, etc. Assume a set of rectangular pieces with specific lengths, widths and utility values. Also assume a rectangular packing space with specific width and length. The obj...