A tutorial on multiobjective optimization: fundamentals and evolutionary methods

MTM Emmerich, AH Deutz - Natural computing, 2018 - Springer
In almost no other field of computer science, the idea of using bio-inspired search paradigms
has been so useful as in solving multiobjective optimization problems. The idea of using a …

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 …

An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach, part I: solving problems with box constraints

K Deb, H Jain - IEEE transactions on evolutionary computation, 2013 - ieeexplore.ieee.org
Having developed multiobjective optimization algorithms using evolutionary optimization
methods and demonstrated their niche on various practical problems involving mostly two …

[图书][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 …

Comparison of multiobjective evolutionary algorithms: Empirical results

E Zitzler, K Deb, L Thiele - Evolutionary computation, 2000 - ieeexplore.ieee.org
In this paper, we provide a systematic comparison of various evolutionary approaches to
multiobjective optimization using six carefully chosen test functions. Each test function …

Evolution strategies–a comprehensive introduction

HG Beyer, HP Schwefel - Natural computing, 2002 - Springer
This article gives a comprehensive introduction into one of the main branches of
evolutionary computation–the evolution strategies (ES) the history of which dates back to the …

Scalable test problems for evolutionary multiobjective optimization

K Deb, L Thiele, M Laumanns, E Zitzler - … optimization: theoretical advances …, 2005 - Springer
After adequately demonstrating the ability to solve different two-objective optimization
problems, multiobjective evolutionary algorithms (MOEAs) must demonstrate their efficacy in …

[图书][B] Evolutionary algorithms for multiobjective optimization: Methods and applications

E Zitzler - 1999 - eckartzitzler.ch
Many real-world problems involve two types of problem difficulty: i) multiple, conflicting
objectives and ii) a highly complex search space. On the one hand, instead of a single …

[图书][B] Multiobjective evolutionary algorithms: classifications, analyses, and new innovations

DA Van Veldhuizen - 1999 - search.proquest.com
Although computational techniques for solving Multiobjective Optimization Problems (MOPs)
have been available for many years, the recent application of Evolutionary Algorithms (EAs) …

Multi-objective genetic algorithms: Problem difficulties and construction of test problems

K Deb - Evolutionary computation, 1999 - direct.mit.edu
In this paper, we study the problem features that may cause a multi-objective genetic
algorithm (GA) difficulty in converging to the true Pareto-optimal front. Identification of such …