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A mathematical model and a solution method for the problem of placing various-sized circles into a strip

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  • Stoyan, Yu. G.
  • Yas'kov, G.

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  • 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.
    • Handle: RePEc:eee:ejores:v:156:y:2004:i:3:p:590-600
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    References listed on IDEAS

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    1. George, John A. & George, Jennifer M. & Lamar, Bruce W., 1995. "Packing different-sized circles into a rectangular container," European Journal of Operational Research, Elsevier, vol. 84(3), pages 693-712, August.
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    Cited by:

    1. 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.
    2. 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.
    3. Ronald E. Giachetti & Jean Carlo Sanchez, 2009. "A model to design recreational boat mooring fields," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 158-174, March.
    4. 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.
    5. 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.
    6. W Q Huang & Y Li & H Akeb & C M Li, 2005. "Greedy algorithms for packing unequal circles into a rectangular container," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(5), pages 539-548, May.
    7. 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.
    8. 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.
    9. K A Dowsland & M Gilbert & G Kendall, 2007. "A local search approach to a circle cutting problem arising in the motor cycle industry," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(4), pages 429-438, April.
    10. 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.
    11. Akang Wang & Chrysanthos E. Gounaris, 2021. "On tackling reverse convex constraints for non-overlapping of unequal circles," Journal of Global Optimization, Springer, vol. 80(2), pages 357-385, June.

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