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.
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
3. Introduction to Circle Packing: A Review
https://www.math.fsu.edu/~aluffi/archive/paper356.pdf
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
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献