Article ID: | iaor1994327 |
Country: | Switzerland |
Volume: | 42 |
Issue: | 1/4 |
Start Page Number: | 85 |
End Page Number: | 117 |
Publication Date: | Jun 1993 |
Journal: | Annals of Operations Research |
Authors: | Floudas Christodoulos A., Maranas Costas D. |
Keywords: | location |
A primal-relaxed dual global optimization algorithm is presented along with an extensive review for finding the global minimum energy configurations of microclusters composed by particles interacting with any type of two-body central forces. First, the original nonconvex expression for the total potential energy is transformed to the difference of two convex functions via an eigenvalue analysis performed for each pair potential that constitutes the total potential energy function. Then, a decomposition strategy based on the GOP algorithm is designed to provide tight upper and lower bounds on the global minimum through the solutions of a sequence of relaxed dual subproblems. A number of theoretical results are included which expedite the computational effort by exploiting the special mathematical structure of the problem. The proposed approach attains