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International Journal of Computer Mathematics Volume 89, 2012 - Issue 10
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Section B

Packing equal circles into a circle with circular prohibited areas

Y. Stoyan Institute of Mechanical Engineering Problems, National Academy of Sciences of Ukraine, 2/10 Pozharsky Street, 61046, Kharkov, UkraineCorrespondence[email protected]
&
G. Yaskov Institute of Mechanical Engineering Problems, National Academy of Sciences of Ukraine, 2/10 Pozharsky Street, 61046, Kharkov, Ukraine
Pages 1355-1369 | Received 28 Feb 2011, Accepted 03 Apr 2012, Published online: 17 May 2012

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Tatiana Romanova, Alexander Pankratov, Igor Litvinchev, Sergiy Plankovskyy, Yevgen Tsegelnyk & Olga Shypul. (2021) Sparsest packing of two-dimensional objects. International Journal of Production Research 59:13, pages 3900-3915.
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Yuriy Stoyan & Georgiy Yaskov. (2021) Optimized packing unequal spheres into a multiconnected domain: mixed-integer non-linear programming approach. International Journal of Computer Mathematics: Computer Systems Theory 6:1, pages 94-111.
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Articles from other publishers (20)

Paolo Amore, Damian de la Cruz, Valeria Hernandez, Ian Rincon & Ulises Zarate. (2023) Circle packing in arbitrary domains. Physics of Fluids 35:12.
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Zhenheng Lin, Xiangjing Lai & Lei Wang. (2023) Probability-Based Monotonic Basin-hopping Algorithm for Packing Equal Circles in a Rectangular Container. Probability-Based Monotonic Basin-hopping Algorithm for Packing Equal Circles in a Rectangular Container.
T. E. Romanova, P. I. Stetsyuk, A. Fischer & G. M. Yaskov. (2023) Proportional Packing of Circles in a Circular Container. Cybernetics and Systems Analysis 59:1, pages 82-89.
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Tetyana Romanova, Olexandr Pankratov, Igor Litvinchev, Petro Stetsyuk, Oleksii Lykhovyd, Jose Antonio Marmolejo-Saucedo & Pandian Vasant. (2022) Balanced Circular Packing Problems with Distance Constraints. Computation 10:7, pages 113.
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Yaskov G, Chugay A, Romanova T & Shekhovtsov S. (2022) Modern method of topology optimization of products in additive production. Artificial Intelligence 27:jai2022.27(1), pages 301-310.
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Sergiy Plankovskyy, Olga Shypul, Yevgen Tsegelnyk, Alexander Pankratov, Tatiana Romanova & Igor Litvinchev. 2021. Mathematical Modeling and Simulation of Systems (MODS'2020). Mathematical Modeling and Simulation of Systems (MODS'2020) 111 120 .
Joonghyun Ryu, Mokwon Lee, Donguk Kim, Josef Kallrath, Kokichi Sugihara & Deok-Soo Kim. (2020) VOROPACK-D: Real-time disk packing algorithm using Voronoi diagram. Applied Mathematics and Computation 375, pages 125076.
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Marina Prvan, Arijana Burazin Mišura, Zoltan Gecse & Julije Ožegović. (2020) A Vertex-Aligned Model for Packing 4-Hexagonal Clusters in a Regular Hexagonal Container. Symmetry 12:5, pages 700.
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T. Romanova, A. Pankratov, I. Litvinchev & Jose Antonio Marmolejo-Saucedo. 2020. Data Analysis and Optimization for Engineering and Computing Problems. Data Analysis and Optimization for Engineering and Computing Problems 95 108 .
G. Yaskov, T. Romanova, I. Litvinchev & S. Shekhovtsov. 2020. Intelligent Computing and Optimization. Intelligent Computing and Optimization 671 678 .
T. Romanova, I. Litvinchev, I. Grebennik, A. Kovalenko, I. Urniaieva & S. Shekhovtsov. 2020. Intelligent Computing and Optimization. Intelligent Computing and Optimization 273 281 .
T. Romanova, Yu. Stoyan, A. Pankratov, I. Litvinchev & J. A. Marmolejo. 2020. Intelligent Computing and Optimization. Intelligent Computing and Optimization 214 221 .
C. O. López & J. E. Beasley. (2018) Packing a fixed number of identical circles in a circular container with circular prohibited areas. Optimization Letters 13:7, pages 1449-1468.
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Mhand Hifi & Labib Yousef. (2019) A local search-based method for sphere packing problems. European Journal of Operational Research 274:2, pages 482-500.
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Georgiy Yaskov. (2019) Methodology to Solve Multi-Dimentional Sphere Packing Problems. Journal of Mechanical Engineering 22:1, pages 67-75.
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T. Romanova, A. Pankratov, I. Litvinchev, Yu. Pankratova & I. Urniaieva. (2019) Optimized Packing Clusters of Objects in a Rectangular Container. Mathematical Problems in Engineering 2019, pages 1-12.
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E. G. Birgin, R. D. Lobato & J. M. Martínez. (2016) A nonlinear programming model with implicit variables for packing ellipsoids. Journal of Global Optimization 68:3, pages 467-499.
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E. G. Birgin, R. D. Lobato & J. M. Martínez. (2015) Packing ellipsoids by nonlinear optimization. Journal of Global Optimization 65:4, pages 709-743.
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João Pedro Pedroso, Sílvia Cunha & João Nuno Tavares. (2014) Recursive circle packing problems. International Transactions in Operational Research 23:1-2, pages 355-368.
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Ernesto G. Birgin, Luis Henrique Bustamante, Hector Flores Callisaya & Jose Mario Martínez. (2013) Packing circles within ellipses. International Transactions in Operational Research 20:3, pages 365-389.
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