Title
The hypervolume based directed search method for multi-objective optimization problems.
Abstract
We present a new hybrid evolutionary algorithm for the effective hypervolume approximation of the Pareto front of a given differentiable multi-objective optimization problem. Starting point for the local search (LS) mechanism is a new division of the decision space as we will argue that in each of these regions a different LS strategy seems to be most promising. For the LS in two out of the three regions we will utilize and adapt the Directed Search method which is capable of steering the search into any direction given in objective space and which is thus well suited for the problem at hand. We further on integrate the resulting LS mechanism into SMS-EMOA, a state-of-the-art evolutionary algorithm for hypervolume approximations. Finally, we will present some numerical results on several benchmark problems with two and three objectives indicating the strength and competitiveness of the novel hybrid.
Year
DOI
Venue
2016
10.1007/s10732-016-9310-0
J. Heuristics
Keywords
Field
DocType
Multi-objective optimization,Evolutionary computation,Memetic algorithm,Directed search method,Hypervolume
Memetic algorithm,Mathematical optimization,Evolutionary algorithm,Evolutionary computation,Multi-objective optimization,Differentiable function,Artificial intelligence,Local search (optimization),Optimization problem,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
22
3
1381-1231
Citations 
PageRank 
References 
6
0.40
21
Authors
4
Name
Order
Citations
PageRank
Oliver Schütze149235.88
Víctor Adrián Sosa-Hernández271.43
Heike Trautmann362343.22
Günter Rudolph421948.59