Balanced Circular Packing Problems with Distance Constraints

The packing of different circles in a circular container under balancing and distance conditions is considered. Two problems are studied: the first minimizes the container’s radius, while the second maximizes the minimal distance between circles, as well as between circles and the boundary of the co...

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Bibliographic Details
Main Authors: Romanova, Tatiana, Pankratov, Olexandr, Litvinchev, Igor, Stetsyuk, Petro, Lykhovyd, Oleksii, Marmolejo Saucedo, José Antonio, Vasant, Pandian
Format: Article
Language:Spanish / Castilian
Published: Molecular Diversity Preservation International 2022
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Online Access:http://eprints.uanl.mx/23718/1/23718.pdf
Description
Summary:The packing of different circles in a circular container under balancing and distance conditions is considered. Two problems are studied: the first minimizes the container’s radius, while the second maximizes the minimal distance between circles, as well as between circles and the boundary of the container. Mathematical models and solution strategies are provided and illustrated with computational results.