A review of multiobjective test problems and a scalable test problem toolkit

S Huband, P Hingston, L Barone… - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
When attempting to better understand the strengths and weaknesses of an algorithm, it is
important to have a strong understanding of the problem at hand. This is true for the field of …

PlatEMO: A MATLAB platform for evolutionary multi-objective optimization [educational forum]

Y Tian, R Cheng, X Zhang, Y ** - IEEE Computational …, 2017 - ieeexplore.ieee.org
Over the last three decades, a large number of evolutionary algorithms have been
developed for solving multi-objective optimization problems. However, there lacks an upto …

Test problems for large-scale multiobjective and many-objective optimization

R Cheng, Y **, M Olhofer - IEEE transactions on cybernetics, 2016 - ieeexplore.ieee.org
The interests in multiobjective and many-objective optimization have been rapidly
increasing in the evolutionary computation community. However, most studies on …

[КНИГА][B] Evolutionary algorithms for solving multi-objective problems

CAC Coello - 2007 - Springer
Problems with multiple objectives arise in a natural fashion in most disciplines and their
solution has been a challenge to researchers for a long time. Despite the considerable …

A review of features and limitations of existing scalable multiobjective test suites

S Zapotecas-Martínez, CAC Coello… - IEEE Transactions …, 2018 - ieeexplore.ieee.org
In multiobjective optimization, a scalable test problem is one that can be formulated for an
arbitrary number of objectives. Scalable test problems evaluate the conceptual foundations …

Multiobjective optimization problems with complicated Pareto sets, MOEA/D and NSGA-II

H Li, Q Zhang - IEEE transactions on evolutionary computation, 2008 - ieeexplore.ieee.org
Partly due to lack of test problems, the impact of the Pareto set (PS) shapes on the
performance of evolutionary algorithms has not yet attracted much attention. This paper …

Using the averaged Hausdorff distance as a performance measure in evolutionary multiobjective optimization

O Schutze, X Esquivel, A Lara… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
The Hausdorff distance d H is a widely used tool to measure the distance between different
objects in several research fields. Possible reasons for this might be that it is a natural …

ParEGO: A hybrid algorithm with on-line landscape approximation for expensive multiobjective optimization problems

J Knowles - IEEE transactions on evolutionary computation, 2006 - ieeexplore.ieee.org
This paper concerns multiobjective optimization in scenarios where each solution evaluation
is financially and/or temporally expensive. We make use of nine relatively low-dimensional …

[PDF][PDF] Multiobjective optimization test instances for the CEC 2009 special session and competition

Q Zhang, A Zhou, S Zhao, PN Suganthan, W Liu… - 2008 - al-roomi.org
I. INTRODUCTION Due largely to the nature of multiobjective evolutionary algorithms
(MOEAs), their behaviors and performances are mainly studied experimentally. In the past …

Multimodal multiobjective optimization with differential evolution

J Liang, W Xu, C Yue, K Yu, H Song, OD Crisalle… - Swarm and evolutionary …, 2019 - Elsevier
This paper proposes a multimodal multiobjective Differential Evolution optimization
algorithm (MMODE). The technique is conceived for deployment on problems with a Pareto …