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Solving the problem of packing equal and unequal circles in a circular container

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  • A. Grosso
  • A. Jamali
  • M. Locatelli
  • F. Schoen

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  • 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.
    • Handle: RePEc:spr:jglopt:v:47:y:2010:i:1:p:63-81
    DOI: 10.1007/s10898-009-9458-3
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    References listed on IDEAS

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    1. Stoyan, Yu. G. & Yas'kov, G., 2004. "A mathematical model and a solution method for the problem of placing various-sized circles into a strip," European Journal of Operational Research, Elsevier, vol. 156(3), pages 590-600, August.
    2. Wang, Huaiqing & Huang, Wenqi & Zhang, Quan & Xu, Dongming, 2002. "An improved algorithm for the packing of unequal circles within a larger containing circle," European Journal of Operational Research, Elsevier, vol. 141(2), pages 440-453, September.
    3. B. Addis & M. Locatelli & F. Schoen, 2008. "Disk Packing in a Square: A New Global Optimization Approach," INFORMS Journal on Computing, INFORMS, vol. 20(4), pages 516-524, November.
    4. Castillo, Ignacio & Kampas, Frank J. & Pintér, János D., 2008. "Solving circle packing problems by global optimization: Numerical results and industrial applications," European Journal of Operational Research, Elsevier, vol. 191(3), pages 786-802, December.
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    Citations

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    Cited by:

    1. Andreas Fischer & Igor Litvinchev & Tetyana Romanova & Petro Stetsyuk & Georgiy Yaskov, 2024. "Packing spheres with quasi-containment conditions," Journal of Global Optimization, Springer, vol. 90(3), pages 671-689, November.
    2. Liu, Jingfa & Jiang, Yucong & Li, Gang & Xue, Yu & Liu, Zhaoxia & Zhang, Zhen, 2015. "Heuristic-based energy landscape paving for the circular packing problem with performance constraints of equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 166-174.
    3. I Al-Mudahka & M Hifi & R M'Hallah, 2011. "Packing circles in the smallest circle: an adaptive hybrid algorithm," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(11), pages 1917-1930, November.
    4. 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.
    5. Zeng, Zhizhong & Yu, Xinguo & He, Kun & Huang, Wenqi & Fu, Zhanghua, 2016. "Iterated Tabu Search and Variable Neighborhood Descent for packing unequal circles into a circular container," European Journal of Operational Research, Elsevier, vol. 250(2), pages 615-627.
    6. López, C.O. & Beasley, J.E., 2011. "A heuristic for the circle packing problem with a variety of containers," European Journal of Operational Research, Elsevier, vol. 214(3), pages 512-525, November.
    7. Lai, Xiangjing & Hao, Jin-Kao & Yue, Dong & Lü, Zhipeng & Fu, Zhang-Hua, 2022. "Iterated dynamic thresholding search for packing equal circles into a circular container," European Journal of Operational Research, Elsevier, vol. 299(1), pages 137-153.
    8. López, C.O. & Beasley, J.E., 2016. "A formulation space search heuristic for packing unequal circles in a fixed size circular container," European Journal of Operational Research, Elsevier, vol. 251(1), pages 64-73.
    9. Fu, Zhanghua & Huang, Wenqi & Lü, Zhipeng, 2013. "Iterated tabu search for the circular open dimension problem," European Journal of Operational Research, Elsevier, vol. 225(2), pages 236-243.
    10. Zhu, Dingju, 2016. "Quasi-human seniority-order algorithm for unequal circles packing," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 506-517.
    11. Xiangjing Lai & Jin-Kao Hao & Renbin Xiao & Fred Glover, 2023. "Perturbation-Based Thresholding Search for Packing Equal Circles and Spheres," INFORMS Journal on Computing, INFORMS, vol. 35(4), pages 725-746, July.

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