Optimization of two-dimensional irregular bin packing problem considering slit distance and free rotation of pieces

Wang, Z.; Chang, D.; Man, X.

Growing Science » International Journal of Industrial Engineering Computations » Optimization of two-dimensional irregular bin packing problem considering slit distance and free rotation of pieces

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International Journal of Industrial Engineering Computations

ISSN 1923-2934 (Online) - ISSN 1923-2926 (Print) Quarterly Publication Volume 13 Issue 4 pp. 491-506 , 2022

Optimization of two-dimensional irregular bin packing problem considering slit distance and free rotation of pieces Pages 491-506 Download PDF

Authors: Zi Wang, Daofang Chang, Xingyu Man

DOI: 10.5267/j.ijiec.2022.8.001

Keywords: 2DIBPP, Slit distance, Free rotation, Equidistant edge expansion approach, Overlap minimization method, LS algorithm

Abstract: In this paper, we present a two-dimensional irregular bin packing problem (2DIBPP) that takes into account the slit distance and allows the pieces to rotate freely. The target is to arrange a specified collection of pieces with irregular shapes into a minimal number of bins. Firstly, we develop a mathematical model for the 2DIBPP that considers slit distance and free rotation of the pieces, and an equidistant edge expansion approach is then proposed to handle the slit distance. Secondly, a two-stage method is implemented to get a finite collection of promising rotation angles, effectively decreasing the search neighbourhood. Thirdly, we decompose the 2DIBPP into two sub-problems: piece assignment and packing. The Partial Bin Packing (PBP) strategy is employed in the allocation stage, and we adopt an overlap minimization method to pack the pieces into an individual bin. Finally, we use a local search (LS) algorithm to advance the quality of the solutions by adjusting the piece assignment across bins. Experimental evidence exhibits that our approach is competitive in most instances of the literature, with four better results in five benchmark instances.

How to cite this paper

 Wang, Z., Chang, D & Man, X. (2022). Optimization of two-dimensional irregular bin packing problem considering slit distance and free rotation of pieces.International Journal of Industrial Engineering Computations , 13(4), 491-506.

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