Circle Packing Problem Using Nature-Inspired Optimization Techniques

Abstract

This paper deals with the problem of circle packing, in which the largest radii circle is to be fit in a confined space filled with arbitrary circles of different radii and centers. A circle packing problem is one of a variety of cutting and packing problems. We suggest four different nature-inspired Meta-heuristic algorithms to solve this problem. Algorithms are based on the social behavior of other biology species such as birds, wolves, fireflies, and bats. Moreover, recent advancements in these algorithms are also considered for problem-solving. The circle packing problem is one of the NP-hard problems. It is challenging to solve NP-hard problems exactly, so the proposed algorithms provide an approximate solution within the allotted time. Standard statistical parameters are used for comparison, and simulation and results indicate that the problem is highly non-linear and sensitive.