Title
Flying elephants: a general method for solving non-differentiable problems
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.
Year
DOI
Venue
2016
10.1007/s10732-014-9268-8
J. Heuristics
Keywords
Field
DocType
Non-differentiable optimization,Smoothing,Distance geometry,Covering,Clustering,Fermat–Weber problem,Hub location problem
Mathematical optimization,Robustness (computer science),Differentiable function,Smoothing,Distance geometry,Cluster analysis,Hub location problem,Mathematics
Journal
Volume
Issue
ISSN
22
4
1381-1231
Citations 
PageRank 
References 
0
0.34
8
Authors
2
Name
Order
Citations
PageRank
Adilson Xavier1456.28
Vinicius Layter Xavier2132.01