A Tabu Search Algorithm with Direct Representation for Strip Packing
EvoCOP '09 Proceedings of the 9th European Conference on Evolutionary Computation in Combinatorial Optimization
Brief paper: A revision of recent approaches for two-dimensional strip-packing problems
Engineering Applications of Artificial Intelligence
Brief paper: A revision of recent approaches for two-dimensional strip-packing problems
Engineering Applications of Artificial Intelligence
Tabu search with consistent neighbourhood for strip packing
IEA/AIE'10 Proceedings of the 23rd international conference on Industrial engineering and other applications of applied intelligent systems - Volume Part I
A Reinforced Tabu Search Approach for 2D Strip Packing
International Journal of Applied Metaheuristic Computing
A beam search approach to the container loading problem
Computers and Operations Research
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When handling 2D packing problems, numerous incom- plete and complete algorithms maintain a so-called bottom- left (BL) property: every rectangle placed in a container is propped up bottom and left. While it is easy to make a rectangle BL when it is is added in a container, it is more expensive to maintain all the placed pieces BL when a rect- angle is removed. This prevents researchers from designing incremental moves for metaheuristics or efficient complete optimization algorithms. This paper investigates the possibility of violating the BL property. Instead, we propose to maintain only the set of "maximal holes", which allows incremental additions and removals of rectangles. To validate our alternative approach, we have designed an incremental move, maintaining maximal holes, for the strip-packing problem, a variant of the famous 2D bin- packing. We have also implemented a generic metaheuris- tic using this move and standard greedy heuristics. Exper- imental results show that the approach is competitive with the best known incomplete algorithms, especially the other metaheuristics (able to escape from local minima).