Abstract

We consider the problem of packing unequal spheres into a larger sphere as dense as possible. This problem is seldom researched so far as we know, but its importance and real world applications have been widely revealed. In this paper, we present a method using the techniques of Tabu search, Quasi-human basin-hopping strategy, and BFGS method as its components to resolve this problem, and get some solutions for a serial of thoroughly selected instances.

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