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Hybridizing Beam Search with Tabu Search for the Irregular Packing Problem

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  • Yunqing Rao
  • Peng Wang
  • Qiang Luo

Abstract

The irregular packing problem involves arranging all the irregular pieces on a plate with the objective of maximizing the use of material. In this article, the layout is formed by the ordered sequence of the irregular pieces which is obtained by a hybrid search algorithm and where the order is decoded by a proposed placement principle. First, a novel no-fit-polygon (NFP) generator is introduced. Then, a placement principle is presented with the new NFP generator. Finally, a search algorithm hybridized with beam search (BS) and tabu search (TS) is proposed to search over the sequence. The numerical experiments with many benchmark problems show that the hybrid algorithm is an applicative and effective approach for solving the irregular packing problem. The hybrid algorithm can produce competitive solutions in less time than many other typical algorithms.

Suggested Citation

  • Yunqing Rao & Peng Wang & Qiang Luo, 2021. "Hybridizing Beam Search with Tabu Search for the Irregular Packing Problem," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-14, January.
    • Handle: RePEc:hin:jnlmpe:5054916
    DOI: 10.1155/2021/5054916
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    Cited by:

    1. Qiang Luo & Yunqing Rao, 2022. "Improved Sliding Algorithm for Generating No-Fit Polygon in the 2D Irregular Packing Problem," Mathematics, MDPI, vol. 10(16), pages 1-18, August.
    2. Jie Fang & Yunqing Rao & Xusheng Zhao & Bing Du, 2023. "A Hybrid Reinforcement Learning Algorithm for 2D Irregular Packing Problems," Mathematics, MDPI, vol. 11(2), pages 1-17, January.

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