Numerical Results of Variable Radii Method in the Unequal Circles Packing Problem

In the article we consider the problem of packing a fixed number of unequal circles inside a container of circles. Here the goal is to minimize the radius of the circle of the container. We present an equivalent mathematical model of the problem, based on the extension of the dimension of space, considering the radii of circles as variables. The introduction of additional variables allows improving the original solution of the problem, when the radii were fixed. The numerical results for test problems are given.