Title
A Geometric Approach to Global Optimization
Abstract
In this paper we consider the problem of optimizing a piecewise-linear objective function over a non-convex domain. In particular we do not allow the solution to lie in the interior of a prespecified region R. We discuss the geometrical properties of this problems and present algorithms based on combinatorial arguments. In addition we show how we can construct quite complicated shaped sets R while maintaining the combinatorial properties.
Year
DOI
Venue
1999
10.1023/A:1008367608172
Journal of Global Optimization
Keywords
Field
DocType
Reverse convex constraints,Geometric approach,Discretization,Piecewise linear programs
Discretization,Mathematical optimization,Global optimization,Mathematical analysis,Piecewise,Mathematics
Journal
Volume
Issue
ISSN
15
2
1573-2916
Citations 
PageRank 
References 
1
0.39
6
Authors
2
Name
Order
Citations
PageRank
Stefan Nickel142741.70
Anita Schöbel279172.30