An Effective Corner Increment-Based Algorithm for the Two-Dimensional Strip Packing Problem

The 2-D strip packing problem is an NP-hard combinatorial optimization problem. Given a strip with fixed width and infinite height, the aim of strip packing is to pack a set of rectangles with known widths and heights into the strip such that the used height of the strip is minimized. In this paper,...

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Bibliographic Details
Published in:IEEE access Vol. 6; pp. 72906 - 72924
Main Authors: Chen, Zhen, Chen, Jianli
Format: Journal Article
Language:English
Published: Piscataway IEEE 2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
AVL tree
Benchmark testing
Combinatorial analysis
corner increment
Genetic algorithms
Heuristic algorithms
Optimization
Rectangles
segment tree
Simulated annealing
Strip
Strips
Two dimension strip packing
Vegetation
ISSN:2169-3536, 2169-3536
Online Access:Get full text
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Summary:The 2-D strip packing problem is an NP-hard combinatorial optimization problem. Given a strip with fixed width and infinite height, the aim of strip packing is to pack a set of rectangles with known widths and heights into the strip such that the used height of the strip is minimized. In this paper, we address the 2-D strip packing problem without guillotine constraint and present an effective corner increment-based algorithm. First, a corner increment-based rectangle selection strategy is adopted in a constructive heuristic way. Second, by using the AVL tree and the segment tree, the constructive heuristic is efficiently implemented. Finally, a multi-start random local search is combined to improve the solution. Experimental results on a wide range of benchmark instances show that the proposed algorithm is effective, especially for large instances.
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ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2018.2882823