Sequence based heuristics for two-dimensional bin packing problems

Extreme Point-Based Heuristics for Three-Dimensional Bin Packing

One of the main issues in addressing three-dimensional packing problems is finding an efficient and accurate definition of the points where to place the items inside the bins. The performance of exact and heuristic methods is actually strongly influenced by the choice of a placement rule. We introduce the Extreme Point concept and present a new Extreme Point-based rule for packing items inside ...

Algorithms for Two-Dimensional Bin Packing and Assignment Problems

Extending Two-Dimensional Bin Packing Problem: Consideration of Priority for Items

In this paper a two-dimensional non-oriented guillotine bin packing problem is studied when items have different priorities. Our objective is to maximize the total profit which is total revenues minus costs of used bins and wasted area. A genetic algorithm is developed to solve this problem where a new coding scheme is introduced. To evaluate the performance of the proposed GA, first an upper b...

Recent advances on two-dimensional bin packing problems

We survey recent advances obtained for the two-dimensional bin packing problem, with special emphasis on exact algorithms and e1ective heuristic and metaheuristic approaches. ? 2002 Elsevier Science B.V. All rights reserved.

Online LIB problems: Heuristics for Bin Covering and lower bounds for Bin Packing

We consider the NP Hard problems of online Bin Covering and Packing while requiring that larger (or longer, in the one dimensional case) items be placed at the bottom of the bins, below smaller (or shorter) items — we call such a version, the LIB version of problems. Bin sizes can be uniform or variable. We look at computational studies for both the Best Fit and Harmonic Fit algorithms for unif...