Hybrid algorithm for the two-dimensional rectangular layer-packing problem

Weidong Chen, Pengfei Zhai, Heng Zhu and Yongbo Zhang
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Weidong Chen: Tianjin University, Tianjin, China
Pengfei Zhai: Tianjin University, Tianjin, China
Heng Zhu: Tianjin 20th Metallurgical Construction Co., Ltd, Tianjin, China
Yongbo Zhang: Tianjin 20th Metallurgical Construction Co., Ltd, Tianjin, China

Journal of the Operational Research Society, 2014, vol. 65, issue 7, 1068-1077

Abstract: In this paper, a rectangular layer-packing algorithm (RLPA) combined with modified genetic algorithm (GA) or particle swarm optimization (PSO) algorithm is developed to solve the problem with emerging restraints, which is raised from the two-dimensional rectangular packing problem with some small rectangles that need to be packed into a fixed rectangular object. RLPA is designed from the BL algorithm and lowest horizontal line algorithm. GA and PSO are also modified to satisfy the constraint conditions. Best GA or PSO parameters are obtained by conducting experiments on some typical instances. The results are also compared, which validate the quality of the solutions and show the effectiveness of the modified algorithm.

Date: 2014
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