Packing circles within circular containers: a new heuristic algorithm   for the balance constraints case
  In this work we propose a heuristic algorithm for the layout optimization for disks installed in a rotating circular container. This is a unequal circle packing problem with additional balance constraints. It proved to be an NP-hard problem, which justifies heuristics methods for its resolution in larger instances. The main feature of our heuristic is based on the selection of the next circle to be placed inside the container according to the position of the system's center of mass. Our approach has been tested on a series of instances up to 55 circles and compared with the literature. Computational results show good performance in terms of solution quality and computational time for the proposed algorithm. 
Washington Alves de Oliveira, Luiz Leduino de Salles Neto, Antonio   Carlos Moretti and Ednei Felix Reis
cs.CG cs.CE