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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Weidong Chen & Pengfei Zhai & Heng Zhu & Yongbo Zhang, 2014. "Hybrid algorithm for the two-dimensional rectangular layer-packing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(7), pages 1068-1077, July.
    • Handle: RePEc:pal:jorsoc:v:65:y:2014:i:7:p:1068-1077
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    Cited by:

    1. Chih, Mingchang, 2023. "Stochastic stability analysis of particle swarm optimization with pseudo random number assignment strategy," European Journal of Operational Research, Elsevier, vol. 305(2), pages 562-593.
    2. Yan, Xiangbin & Qiu, Hui & Peng, Rui & Wu, Shaomin, 2020. "Optimal configuration of a power grid system with a dynamic performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 193(C).

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