  Balanced circular bin packing problems consist in positioning a given number
of weighted circles in order to minimize the radius of a circular container
while satisfying equilibrium constraints. These problems are NP-hard, highly
constrained and dimensional. This paper describes a swarm algorithm based on a
virtual-force system in order to solve balanced circular bin packing problems.
In the proposed approach, a system of forces is applied to each component
allowing to take into account the constraints and minimizing the objective
function using the fundamental principle of dynamics. The proposed algorithm is
experimented and validated on benchmarks of various balanced circular bin
packing problems with up to 300 circles. The reported results allow to assess
the effectiveness of the proposed approach compared to existing results from
the literature.
