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Packing congruent hyperspheres into a hypersphere

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  • Yuriy Stoyan
  • Georgiy Yaskov

Abstract

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Suggested Citation

  • Yuriy Stoyan & Georgiy Yaskov, 2012. "Packing congruent hyperspheres into a hypersphere," Journal of Global Optimization, Springer, vol. 52(4), pages 855-868, April.
  • Handle: RePEc:spr:jglopt:v:52:y:2012:i:4:p:855-868
    DOI: 10.1007/s10898-011-9716-z
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    References listed on IDEAS

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    1. Gondzio, Jacek, 1995. "HOPDM (version 2.12) -- A fast LP solver based on a primal-dual interior point method," European Journal of Operational Research, Elsevier, vol. 85(1), pages 221-225, August.
    2. Stoyan, Yu. & Chugay, A., 2009. "Packing cylinders and rectangular parallelepipeds with distances between them into a given region," European Journal of Operational Research, Elsevier, vol. 197(2), pages 446-455, September.
    3. Yuriy Stoyan & Georgiy Yaskov, 2008. "Packing Identical Spheres into a Rectangular Parallelepiped," Springer Books, in: Andreas Bortfeldt & Jörg Homberger & Herbert Kopfer & Giselher Pankratz & Reinhard Strangmeier (ed.), Intelligent Decision Support, pages 47-67, Springer.
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    Cited by:

    1. E. G. Birgin & R. D. Lobato & J. M. Martínez, 2017. "A nonlinear programming model with implicit variables for packing ellipsoids," Journal of Global Optimization, Springer, vol. 68(3), pages 467-499, July.
    2. E. G. Birgin & R. D. Lobato & J. M. Martínez, 2016. "Packing ellipsoids by nonlinear optimization," Journal of Global Optimization, Springer, vol. 65(4), pages 709-743, August.
    3. Josef Kallrath & Markus M. Frey, 2019. "Packing circles into perimeter-minimizing convex hulls," Journal of Global Optimization, Springer, vol. 73(4), pages 723-759, April.
    4. Vélez-Gallego, Mario C. & Teran-Somohano, Alejandro & Smith, Alice E., 2020. "Minimizing late deliveries in a truck loading problem," European Journal of Operational Research, Elsevier, vol. 286(3), pages 919-928.

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