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Quasi-human seniority-order algorithm for unequal circles packing

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  • Zhu, Dingju

Abstract

In the existing methods for solving unequal circles packing problems, the initial configuration is given arbitrarily or randomly, but the impact of different initial configurations for existing packing algorithm to the speed of existing packing algorithm solving unequal circles packing problems is very large. The quasi-human seniority-order algorithm proposed in this paper can generate a better initial configuration for existing packing algorithm to accelerate the speed of existing packing algorithm solving unequal circles packing problems. In experiments, the quasi-human seniority-order algorithm is applied to generate better initial configurations for quasi-physical elasticity methods to solve the unequal circles packing problems, and the experimental results show that the proposed quasi-human seniority-order algorithm can greatly improve the speed of solving the problem.

Suggested Citation

  • Zhu, Dingju, 2016. "Quasi-human seniority-order algorithm for unequal circles packing," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 506-517.
    • Handle: RePEc:eee:chsofr:v:89:y:2016:i:c:p:506-517
    DOI: 10.1016/j.chaos.2016.02.030
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    References listed on IDEAS

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    1. Galiev, Shamil I. & Lisafina, Maria S., 2013. "Linear models for the approximate solution of the problem of packing equal circles into a given domain," European Journal of Operational Research, Elsevier, vol. 230(3), pages 505-514.
    2. A. Grosso & A. Jamali & M. Locatelli & F. Schoen, 2010. "Solving the problem of packing equal and unequal circles in a circular container," Journal of Global Optimization, Springer, vol. 47(1), pages 63-81, May.
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    4. Gyorgy Dosa & Zsolt Tuza & Deshi Ye, 2013. "Bin packing with “Largest In Bottom” constraint: tighter bounds and generalizations," Journal of Combinatorial Optimization, Springer, vol. 26(3), pages 416-436, October.
    5. János Balogh & József Békési & Gábor Galambos & Gerhard Reinelt, 2014. "On-line bin packing with restricted repacking," Journal of Combinatorial Optimization, Springer, vol. 27(1), pages 115-131, January.
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