Balanced Circular Packing Problems with Distance Constraints

Author:

Romanova Tetyana,Pankratov Olexandr,Litvinchev IgorORCID,Stetsyuk PetroORCID,Lykhovyd Oleksii,Marmolejo-Saucedo Jose AntonioORCID,Vasant PandianORCID

Abstract

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.

Publisher

MDPI AG

Subject

Applied Mathematics,Modeling and Simulation,General Computer Science,Theoretical Computer Science

Reference50 articles.

1. Uniformizing Dessins and BelyiMaps via Circle Packing;Bowers,2004

2. Introduction to Circle Packing: The Theory of Discrete Analytic Functions;Stephenson,2005

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4. A Literature Review on Circle and Sphere Packing Problems: Models and Methodologies

5. Solving circle packing problems by global optimization: Numerical results and industrial applications

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