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A flexible labour division approach to the polygon packing problem based on space allocation

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  • Yingcong Wang
  • Renbin Xiao
  • Huimin Wang

Abstract

This paper deals with the two-dimensional satellite module polygon packing problem. Based on the duality of material and space, it regards the polygon packing problem as a space allocation problem, which involves allocating the container space to the given polygons reasonably and efficiently. Ant colony’s labour division is essentially a kind of task allocation. Using this task allocation to achieve the space allocation in polygon packing problems, a flexible labour division approach (FLD) is proposed based on the response threshold model. According to the characteristics of space allocation in polygon packing problems, FLD designs three actions for polygons to occupy the container space. With the interaction between environmental stimulus and response threshold, each polygon takes an appropriate action to complete the space allocation and a layout that meets the requirements of satellite module layout is obtained. The results of standard test instances demonstrate the effectiveness of FLD when compared with self-organisation emergence algorithm. Moreover, experiments on the general polygon packing problem also show that FLD is competitive with other existing algorithms.

Suggested Citation

  • Yingcong Wang & Renbin Xiao & Huimin Wang, 2017. "A flexible labour division approach to the polygon packing problem based on space allocation," International Journal of Production Research, Taylor & Francis Journals, vol. 55(11), pages 3025-3045, June.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:11:p:3025-3045
    DOI: 10.1080/00207543.2016.1229070
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    Cited by:

    1. Juan Lu & Chengyi Ou & Chen Liao & Zhenkun Zhang & Kai Chen & Xiaoping Liao, 2021. "Formal modelling of a sheet metal smart manufacturing system by using Petri nets and first-order predicate logic," Journal of Intelligent Manufacturing, Springer, vol. 32(4), pages 1043-1063, April.
    2. Sato, André Kubagawa & Martins, Thiago Castro & Gomes, Antonio Miguel & Tsuzuki, Marcos Sales Guerra, 2019. "Raster penetration map applied to the irregular packing problem," European Journal of Operational Research, Elsevier, vol. 279(2), pages 657-671.
    3. Wang, Yingcong & Wang, Yanfeng & Sun, Junwei & Huang, Chun & Zhang, Xuncai, 2019. "A stimulus–response-based allocation method for the circle packing problem with equilibrium constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 232-247.

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