Performance assessment of multiobjective optimizers: an analysis and review

Authors:
E. Zitzler;L. Thiele;M. Laumanns;C. M. Fonseca;V. G. da Fonseca
Affiliations:
Comput. Eng. & Networks Lab., Swiss Fed. Inst. of Technol., Switzerland;-;-;-;-
Venue:
IEEE Transactions on Evolutionary Computation
Year:
2003

Citing 0
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Improving PSO-Based multi-objective optimization using crowding, mutation and ∈-dominance

EMO'05 Proceedings of the Third international conference on Evolutionary Multi-Criterion Optimization
Multiple criteria lot-sizing in a foundry using evolutionary algorithms

EMO'05 Proceedings of the Third international conference on Evolutionary Multi-Criterion Optimization
Solving rotated multi-objective optimization problems using differential evolution

AI'04 Proceedings of the 17th Australian joint conference on Advances in Artificial Intelligence
Solving a dial-a-ride problem with a hybrid evolutionary multi-objective approach: Application to demand responsive transport

Applied Soft Computing
Running time analysis of a multiobjective evolutionary algorithm on simple and hard problems

FOGA'05 Proceedings of the 8th international conference on Foundations of Genetic Algorithms
Handling multiple objectives with biogeography-based optimization

International Journal of Automation and Computing
Hypervolume-based multiobjective optimization: Theoretical foundations and practical implications

Theoretical Computer Science
Approximating the least hypervolume contributor: NP-hard in general, but fast in practice

Theoretical Computer Science
Multiobjective evolutionary algorithms for multivariable PI controller design

Expert Systems with Applications: An International Journal
Approximating the pareto front of multi-criteria optimization problems

TACAS'10 Proceedings of the 16th international conference on Tools and Algorithms for the Construction and Analysis of Systems
Alleviate the hypervolume degeneration problem of NSGA-II

ICONIP'11 Proceedings of the 18th international conference on Neural Information Processing - Volume Part II
MetaHybrid: combining metamodels and gradient-based techniques in a hybrid multi-objective genetic algorithm

LION'05 Proceedings of the 5th international conference on Learning and Intelligent Optimization
Multi-Objective optimization with an adaptive resonance theory-based estimation of distribution algorithm: a comparative study

LION'05 Proceedings of the 5th international conference on Learning and Intelligent Optimization
Self-adaptation techniques applied to multi-objective evolutionary algorithms

LION'05 Proceedings of the 5th international conference on Learning and Intelligent Optimization
A memetic algorithm for the biobjective minimum spanning tree problem

EvoCOP'06 Proceedings of the 6th European conference on Evolutionary Computation in Combinatorial Optimization
Reference set metrics for multi-objective algorithms

SEMCCO'11 Proceedings of the Second international conference on Swarm, Evolutionary, and Memetic Computing - Volume Part I
The efficiency of indicator-based local search for multi-objective combinatorial optimisation problems

Journal of Heuristics
On dominance-based multiobjective local search: design, implementation and experimental analysis on scheduling and traveling salesman problems

Journal of Heuristics
Divide and conquer high-level synthesis design space exploration

ACM Transactions on Design Automation of Electronic Systems (TODAES) - Special section on verification challenges in the concurrent world
Multi-objective energy-efficient dense deployment in Wireless Sensor Networks using a hybrid problem-specific MOEA/D

Applied Soft Computing
Initialization procedures for multiobjective evolutionary approaches to the segmentation issue

HAIS'12 Proceedings of the 7th international conference on Hybrid Artificial Intelligent Systems - Volume Part I
A comparative study of multi-objective evolutionary algorithms to optimize the selection of investment portfolios with cardinality constraints

EvoApplications'12 Proceedings of the 2012t European conference on Applications of Evolutionary Computation
On the properties of the R2 indicator

Proceedings of the 14th annual conference on Genetic and evolutionary computation
A new multi-objective evolutionary algorithm based on a performance assessment indicator

Proceedings of the 14th annual conference on Genetic and evolutionary computation
Local preference-inspired co-evolutionary algorithms

Proceedings of the 14th annual conference on Genetic and evolutionary computation
A modification to MOEA/D-DE for multiobjective optimization problems with complicated Pareto sets

Information Sciences: an International Journal
Repeated weighted boosting search for discrete or mixed search space and multiple-objective optimisation

Applied Soft Computing
A decomposition-based hybrid multiobjective evolutionary algorithm with dynamic resource allocation

Applied Soft Computing
GECCO 2012 tutorial on evolutionary multiobjective optimization

Proceedings of the 14th annual conference companion on Genetic and evolutionary computation
Multi-objective no-wait hybrid flowshop scheduling problem with transportation times

International Journal of Computational Science and Engineering
On beam search for multicriteria combinatorial optimization problems

CPAIOR'12 Proceedings of the 9th international conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
Diagnostic assessment of search controls and failure modes in many-objective evolutionary optimization

Evolutionary Computation
Coherent design methodology using modelling, simulation and optimisation

Proceedings of the 2011 Grand Challenges on Modeling and Simulation Conference
Convergence of set-based multi-objective optimization, indicators and deteriorative cycles

Theoretical Computer Science
An Algebra of Pareto Points

Fundamenta Informaticae - The Fourth Special Issue on Applications of Concurrency to System Design (ACSD05)
On the performance metrics of multiobjective optimization

ICSI'12 Proceedings of the Third international conference on Advances in Swarm Intelligence - Volume Part I
BSTBGA: A hybrid genetic algorithm for constrained multi-objective optimization problems

Computers and Operations Research
Analyzing the impact of MOACO components: An algorithmic study on the multi-objective shortest path problem

Expert Systems with Applications: An International Journal
Multi-objective scheduling and a resource allocation problem in hospitals

Journal of Scheduling
Quantum control experiments as a testbed for evolutionary multi-objective algorithms

Genetic Programming and Evolvable Machines
Calibrating continuous multi-objective heuristics using mixture experiments

Journal of Heuristics
Stochastic Pareto local search: Pareto neighbourhood exploration and perturbation strategies

Journal of Heuristics
Multiobjective topology optimization of truss structures with kinematic stability repair

Structural and Multidisciplinary Optimization
Comparison of design concepts in multi-criteria decision-making using level diagrams

Information Sciences: an International Journal
On optimizing a bi-objective flowshop scheduling problem in an uncertain environment

Computers & Mathematics with Applications
A study of two penalty-parameterless constraint handling techniques in the framework of MOEA/D

Applied Soft Computing
Automatic generation of multi-objective ACO algorithms for the bi-objective knapsack

ANTS'12 Proceedings of the 8th international conference on Swarm Intelligence
A study on evolutionary multi-objective optimization with fuzzy approximation for computational expensive problems

PPSN'12 Proceedings of the 12th international conference on Parallel Problem Solving from Nature - Volume Part II
On the anytime behavior of IPOP-CMA-ES

PPSN'12 Proceedings of the 12th international conference on Parallel Problem Solving from Nature - Volume Part I
Advances in evolutionary multi-objective optimization

SSBSE'12 Proceedings of the 4th international conference on Search Based Software Engineering
Learning paradigm based on jumping genes: A general framework for enhancing exploration in evolutionary multiobjective optimization

Information Sciences: an International Journal
An approach to instantly use single-objective results for multi-objective evolutionary combinatorial optimization

LION'12 Proceedings of the 6th international conference on Learning and Intelligent Optimization
Effect of SMS-EMOA parameterizations on hypervolume decreases

LION'12 Proceedings of the 6th international conference on Learning and Intelligent Optimization
On the design of a novel two-objective harmony search approach for distance- and connectivity-based localization in wireless sensor networks

Engineering Applications of Artificial Intelligence
Single Machine Scheduling with Rejection: Minimizing Total Weighted Completion Time and Rejection Cost

International Journal of Applied Evolutionary Computation
The relationship between the covered fraction, completeness and hypervolume indicators

EA'11 Proceedings of the 10th international conference on Artificial Evolution
A scalable approach to simultaneous evolutionary instance and feature selection

Information Sciences: an International Journal
Approximation quality of the hypervolume indicator

Artificial Intelligence
Variable neighborhood search for multi-objective resource allocation problems

Robotics and Computer-Integrated Manufacturing
A Multiobjective Particle Swarm Optimizer for Constrained Optimization

International Journal of Swarm Intelligence Research
New fitness sharing approach for multi-objective genetic algorithms

Journal of Global Optimization
Adapting scientific workflow structures using multi-objective optimization strategies

ACM Transactions on Autonomous and Adaptive Systems (TAAS)
MOEA/D + uniform design: A new version of MOEA/D for optimization problems with many objectives

Computers and Operations Research
Refined ranking relations for multi objective optimization andapplication to P-ACO

Proceedings of the 15th annual conference on Genetic and evolutionary computation
On set-based local search for multiobjective combinatorial optimization

Proceedings of the 15th annual conference on Genetic and evolutionary computation
Parameterized average-case complexity of the hypervolume indicator

Proceedings of the 15th annual conference on Genetic and evolutionary computation
Optimization of a supersonic airfoil using the multi-objective alliance algorithm

Proceedings of the 15th annual conference on Genetic and evolutionary computation
Entropy-based adaptive range parameter control for evolutionary algorithms

Proceedings of the 15th annual conference on Genetic and evolutionary computation
On local search for bi-objective knapsack problems

Evolutionary Computation
A memetic algorithm for multiobjective problems

Proceedings of the 15th annual conference companion on Genetic and evolutionary computation
MOEA/D assisted by rbf networks for expensive multi-objective optimization problems

Proceedings of the 15th annual conference on Genetic and evolutionary computation
Testing of the multi-objective alliance algorithm on benchmark functions

Proceedings of the 15th annual conference companion on Genetic and evolutionary computation
A multiobjective evolutionary programming framework for graph-based data mining

Information Sciences: an International Journal
GECCO 2013 tutorial on evolutionary multiobjective optimization

Proceedings of the 15th annual conference companion on Genetic and evolutionary computation
Asynchronous master-slave parallelization of differential evolution for multi-objective optimization

Evolutionary Computation
Not going to take this anymore: multi-objective overtime planning for software engineering projects

Proceedings of the 2013 International Conference on Software Engineering
Search-based genetic optimization for deployment and reconfiguration of software in the cloud

Proceedings of the 2013 International Conference on Software Engineering
A multi-objective approach to the application of real-world production scheduling

Expert Systems with Applications: An International Journal
Application of swarm intelligence techniques to the design of analog circuits: evaluation and comparison

Analog Integrated Circuits and Signal Processing
Multi Agent Collaborative Search based on Tchebycheff decomposition

Computational Optimization and Applications
A note on the ε-indicator subset selection

Theoretical Computer Science
GAME: GPU accelerated multipurpose evolutionary algorithm library

International Journal of Innovative Computing and Applications
Three-objective subgraph mining using multiobjective evolutionary programming

Journal of Computer and System Sciences
An efficient multi-objective evolutionary fuzzy system for regression problems

International Journal of Approximate Reasoning
Optimized task scheduling and resource allocation on cloud computing environment using improved differential evolution algorithm

Computers and Operations Research
Speeding up many-objective optimization by Monte Carlo approximations

Artificial Intelligence
A decomposition based estimation of distribution algorithm for multiobjective traveling salesman problems

Computers & Mathematics with Applications
Repeated double cross-validation for choosing a single solution in evolutionary multi-objective fuzzy classifier design

Knowledge-Based Systems
Multi-objective optimization with an adaptive resonance theory-based estimation of distribution algorithm

Annals of Mathematics and Artificial Intelligence
Multi-objective evolutionary design of robust controllers on the grid

Engineering Applications of Artificial Intelligence
QAR-CIP-NSGA-II: A new multi-objective evolutionary algorithm to mine quantitative association rules

Information Sciences: an International Journal
General framework for localised multi-objective evolutionary algorithms

Information Sciences: an International Journal
A coordinate-exchange two-phase local search algorithm for the D- and I-optimal designs of split-plot experiments

Computational Statistics & Data Analysis
Hybrid sliding level Taguchi-based particle swarm optimization for flowshop scheduling problems

Applied Soft Computing
A hybrid genetic approach for multi-objective and multi-platform large volume surveillance problem

International Journal of Metaheuristics
A hybrid metaheuristic for multiobjective unconstrained binary quadratic programming

Applied Soft Computing
Review Article: Self-adaptive metaheuristics for solving a multi-objective 2-dimensional vector packing problem

Applied Soft Computing
Synchronous and asynchronous Pareto-based multi-objective Artificial Bee Colony algorithms

Journal of Global Optimization
A survey of multi-objective sequential decision-making

Journal of Artificial Intelligence Research
Variable and large neighborhood search to solve the multiobjective set covering problem

Journal of Heuristics
Evolutionary multi-objective optimization for mesh simplification of 3D open models

Integrated Computer-Aided Engineering
A Modified micro Genetic Algorithm for undertaking Multi-Objective Optimization Problems

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Recent Advances in Soft Computing: Theories and Applications
A multi-objective evolutionary approach for fuzzy optimization in production planning

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Objective space partitioning using conflict information for solving many-objective problems

Information Sciences: an International Journal

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Abstract

An important issue in multiobjective optimization is the quantitative comparison of the performance of different algorithms. In the case of multiobjective evolutionary algorithms, the outcome is usually an approximation of the Pareto-optimal set, which is denoted as an approximation set, and therefore the question arises of how to evaluate the quality of approximation sets. Most popular are methods that assign each approximation set a vector of real numbers that reflect different aspects of the quality. Sometimes, pairs of approximation sets are also considered. In this study, we provide a rigorous analysis of the limitations underlying this type of quality assessment. To this end, a mathematical framework is developed which allows one to classify and discuss existing techniques.