Bibliographic Details
| Title: |
Flying elephants: a general method for solving non-differentiable problems. |
| Authors: |
Xavier, Adilson1 adilson@cos.ufrj.br, Xavier, Vinicius1 vinicius@cos.ufrj.br |
| Source: |
Journal of Heuristics. Aug2016, Vol. 22 Issue 4, p649-664. 16p. |
| Subjects: |
Hyperbolic geometry, Distance geometry, Metric spaces, Metaheuristic algorithms, Heuristic |
| Abstract: |
Flying Elephants (FE) is a generalization and a new interpretation of the Hyperbolic Smoothing approach. The article introduces the fundamental smoothing procedures. It contains a general overview of successful applications of the approach for solving a select set of five important problems, namely: distance geometry, covering, clustering, Fermat-Weber and hub location. For each problem the original non-smooth formulation and the succedaneous completely differentiable one are presented. Computational experiments for all related problems obtained results that exhibited a high level of performance according to all criteria: consistency, robustness and efficiency. For each problem some results to illustrate the performance of FE are also presented. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
