Title
On the Design of Hard mUBQP Instances.
Abstract
This paper proposes a new method for the design and analysis of multi-objective unconstrained binary quadratic programming (mUBQP) instances, commonly used for testing discrete multi-objective evolutionary algorithms (MOEAs). These instances are usually generated considering the sparsity of the matrices and the correlation between objectives but randomly selecting the values for the matrix cells. Our hypothesis is that going beyond the use of objective correlations by considering different types of variables interactions in the generation of the instances can help to obtain more diverse problem benchmarks, comprising harder instances. We propose a parametric approach in which small building blocks of deceptive functions are planted into the matrices that define the mUBQP. The algorithm for creating the new instances is presented, and the difficulty of the functions is tested using variants of a decomposition-based MOEA. Our experimental results confirm that the instances generated by planting deceptive blocks require more function evaluations to be solved than instances generated using other methods.
Year
DOI
Venue
2016
10.1145/2908812.2908889
GECCO
Field
DocType
Citations 
Mathematical optimization,Binary quadratic programming,Estimation of distribution algorithm,Evolutionary algorithm,Matrix (mathematics),Computer science,Multi-objective optimization,Parametric statistics,Artificial intelligence,Machine learning
Conference
1
PageRank 
References 
Authors
0.35
22
4
Name
Order
Citations
PageRank
Murilo Zangari1172.25
Roberto Santana222027.93
Alexander Mendiburu335533.61
Aurora Trinidad Ramirez Pozo440646.48