Global Optimization Approach to Unequal Global Optimization Approach to Unequal Sphere Packing Problems in 3D
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DOI: 10.1023/A:1016083231326
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- Jie Wang, 1999. "Packing of Unequal Spheres and Automated Radiosurgical Treatment Planning," Journal of Combinatorial Optimization, Springer, vol. 3(4), pages 453-463, December.
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- Andreas Fischer & Igor Litvinchev & Tetyana Romanova & Petro Stetsyuk & Georgiy Yaskov, 2023. "Quasi-Packing Different Spheres with Ratio Conditions in a Spherical Container," Mathematics, MDPI, vol. 11(9), pages 1-19, April.
- Igor Litvinchev & Andreas Fischer & Tetyana Romanova & Petro Stetsyuk, 2024. "A New Class of Irregular Packing Problems Reducible to Sphere Packing in Arbitrary Norms," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
- Bortfeldt, Andreas & Wäscher, Gerhard, 2013. "Constraints in container loading – A state-of-the-art review," European Journal of Operational Research, Elsevier, vol. 229(1), pages 1-20.
- Hifi, Mhand & Yousef, Labib, 2019. "A local search-based method for sphere packing problems," European Journal of Operational Research, Elsevier, vol. 274(2), pages 482-500.
- Moslem Zamani, 2023. "New bounds for nonconvex quadratically constrained quadratic programming," Journal of Global Optimization, Springer, vol. 85(3), pages 595-613, March.
- 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.
- Jean-Thomas Camino & Christian Artigues & Laurent Houssin & Stéphane Mourgues, 2019. "Linearization of Euclidean norm dependent inequalities applied to multibeam satellites design," Computational Optimization and Applications, Springer, vol. 73(2), pages 679-705, June.
- S. P. Li & Ka-Lok Ng, 2003. "Study Of The Unequal Spheres Packing Problem: An Application To Radiosurgery Treatment," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 815-823.
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Keywords
nonconvex quadratic programming; unequal sphere packing problem; simplicial branch-and-bound algorithm; LP relax-ation; heuristic algorithms;All these keywords.
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