
Evolutionary Multi-Criterion Optimization
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Content
- Title
- Preface
- Organization
- Table of Contents
- I Theoretical Issues
- Automated Innovization for Simultaneous Discovery of Multiple Rules in Bi-objective Problems
- Introduction: A Motivating Example
- Related Work
- Discovering Design Rules through Innovization
- Proposed Automated Innovization Approach
- Finding Optimal a$_ij$'s and b$_ij$'s
- One-Dimensional Grid-Based Clustering
- Significance of Design Rules
- Niching for Multiple Design Rules
- Results
- Truss Design Revisited
- Reduced Row-Echelon Form
- Welded Beam Design
- Conclusions and Future Work
- References
- A Taxonomy of Online Stopping Criteria for Multi-Objective Evolutionary Algorithms
- Introduction
- Foundations
- Taxonomy
- Formal Framework
- Integration of the State of the Art
- Discussion
- MATLAB Toolbox for Online Stopping Criteria
- Conclusion and Outlook
- References
- Not All Parents Are Equal for MO-CMA-ES
- Introduction
- State of the Art
- MO-CMA-ES
- Generational and Steady State MO-CMA-ES Algorithms
- New Parent Selections for Steady-State MO-CMA-ES
- Tournament Selection
- Multi-Armed Bandit-Inspired Selection
- Defining Rewards
- Discussion
- Experimental Validation
- Experimental Setting
- Result Analysis
- Conclusion and Perspectives
- References
- On Sequential Online Archiving of Objective Vectors
- Introduction
- Preliminaries
- Optimal Approximation Sets of Bounded Size
- Compatibility of Performance Indicators
- Archivers, Convergence and Approximation
- Convergence and Approximation Definitions
- Basic Archiver Pattern
- Unbounded Archive
- Dominating Archive
- Adaptive -Approx Archiving
- Adaptive -Pareto Archiving
- NSGA-II Archiver
- SPEA2 Archiver
- Adaptive Grid Archiving (AGA)
- Hypervolume Archiver AAS
- Multi-level Grid Archiving (MGA)
- Empirical Study
- MGA Addresses Key Weakness of -Archivers
- MGA vs. AAs for Clustered Points
- Fast Degradation of the SPEA2 Archiver
- The NSGA-II Archiver -Deteriorates
- MGA Is Not Negatively Efficiency Preserving
- Conclusions
- References
- On a Stochastic Differential Equation Approach for Multiobjective Optimization up to Pareto-Criticality
- Introduction
- Notation
- Preliminary Definitions and Problem Statement
- Dominating Cones
- The SSW Algorithm
- The SSW-LS Algorithm
- The Multiobjective Golden Section Line Search
- Results of SSW-LS Algorithm
- Results in Many-Objective Problems
- Conclusions
- References
- Pareto Cone -Dominance: Improving Convergence and Diversity in Multiobjective Evolutionary Algorithms
- Introduction
- Pareto -Dominance
- Pareto Cone -Dominance
- Basic Definitions
- Maintaining a Cone -Pareto Front
- Evaluating the Archive Size
- Experiments and Validation of the Proposed Approach
- Analytical Benchmark Problems
- Performance Metrics
- Parameter Settings
- Statistical Design
- Results and Discussion
- Conclusions
- References
- Variable Preference Modeling Using Multi-Objective Evolutionary Algorithms
- Introduction
- Preliminaries and Theoretical Results
- Experimental Study
- Algorithms and Experimental Setup
- Simulation Results
- Conclusions
- References
- On the Computation of the Empirical Attainment Function
- Introduction
- Background
- The EAF Computation Problem
- The Size of the Output Sets
- The Two-Objective Case
- The Three-Objective Case
- More Than Three Objectives
- Time Complexity and Algorithms
- The Two-Objective Case
- The Three-Objective Case
- Concluding Remarks
- References
- Computing Hypervolume Contributions in Low Dimensions: Asymptotically Optimal Algorithm and Complexity Results
- Introduction
- Preliminaries and Related Work
- Complexity Bounds
- Dimension Sweep Algorithm
- Numerical Experiments
- Conclusion and Outlook
- References
- Preference-Driven Co-evolutionary Algorithms Show Promise for Many-Objective Optimisation
- Introduction
- Method
- Overview
- Methods for Ordering Candidate Solutions
- Test Problems, Performance Indicators and Parameter Settings
- Statistical Treatment
- Results
- Attainment Surface Results
- Dominance Rank Results
- Hypervolume Results
- Discussion
- Findings
- Limitations and Areas for Future Research
- Conclusion
- References
- Adaptive Objective Space Partitioning Using Conflict Information for Many-Objective Optimization
- Introduction
- Basic Concepts and Notation
- The Conflict-Based Partitioning Framework
- General Idea of the Partitioning Framework
- Using Conflict Information to Partition the Objective Space
- Automatic Setting of the Partitioning Parameters
- Proportional Assignment of the Resources
- Automatic Transition between Phases
- Experimental Results
- Algorithms, Metrics and Parameter Settings
- Application of the New Adaptive Scheme
- DTLZ5(I,M): Conflict Known a priori
- Knapsack Problem: Unknown Conflict a priori
- Conclusions and Future Work
- References
- Effects of the Existence of Highly Correlated Objectives on the Behavior of MOEA/D
- Introduction
- MOEA/D
- Computational Experiments on Knapsack Problems
- Computational Experiments on Two-Dimensional Problems
- Conclusions
- References
- Improved Random One-Bit Climbers withAdaptive $\varepsilon$-Ranking and Tabu Moves for Many-Objective Optimization
- Introduction
- Multi-objective Optimization and MNK-Landscapes
- Multi-objective Random One-Bit Climbers
- Improvement Strategies for MoRBCs
- Tabu Moves
- Adaptive -Ranking
- Experimental Design
- Performance Metrics
- Non-parametric Statistical Tests
- Test Problems and Parameter Settings
- Results and Discussions
- Effects of Tabu Ages
- Effects of Adaptive -Ranking
- Comparison among Algorithms
- Conclusions and Future Directions
- References
- Framework for Many-Objective Test Problems with Both Simple and Complicated Pareto-Set Shapes
- Introduction
- Brief Background for Evolutionary Many-Objective Optimization
- Framework for Many-Objective Problems with Arbitrarily Prescribed PS Shapes
- Modular Approach to Test Instances
- EMO Algorithms Used and the Parameter Settings
- Experimental Results
- Conclusions
- References
- II Algorithms
- A Preference Based Interactive Evolutionary Algorithm for Multi-objective Optimization: PIE
- Introduction
- Concepts
- The Proposed PIE Algorithm
- Components of the PIE Algorithm
- PIE Algorithm
- The Archive Sets A and AP
- Numerical Example
- Conclusions
- References
- Preference Ranking Schemes in Multi-Objective Evolutionary Algorithms
- Introduction
- Preliminaries and Existing Studies
- Preference Based Ranking Schemes
- Ranking in pNSGA-II and pssNSGA-II
- Ranking in pSPEA2
- Ranking in pSMPSO
- Ranking in pIBEA
- Experimental Study
- Experimental Setup
- Discussion of Results
- Conclusions
- References
- Interactive Multiobjective Mixed-Integer Optimization Using Dominance-Based Rough Set Approach
- Introduction
- Interactive Multiobjective Optimization Guided by Dominance-Based Rough Set Approach (IMO-DRSA)
- The Bound-and-Cut Algorithm
- A Didactic Example
- Conclusions
- References
- Very Large-Scale Neighborhood Search for Solving Multiobjective Combinatorial Optimization Problems
- Introduction
- Very Large-Scale Neighborhood Search
- The Multiobjective Multidimensionnal Knapsack Problem
- The Multiobjective Set Covering Problem
- Two-Phase Pareto Local Search
- Results
- The Multiobjective Multidimensional Knapsack Problem
- The Multiobjective Set Covering Problem
- Conclusion
- References
- Bilevel Multi-objective Optimization Problem Solving Using Progressively Interactive EMO
- Introduction
- Recent Studies
- Multi-objective Bilevel Optimization Problems
- Progressively Interactive Hybrid Bilevel Evolutionary Multi-objective Optimization Algorithm (PI-HBLEMO)
- Step 3: Elicitation of Preference Information and Construction of a Polynomial Value Function
- Termination Criterion
- Modified Domination Principle
- Parameter Setting
- Results
- Problem DS1
- Problem DS2
- Problem DS3
- Problem DS4
- Problem DS5
- Accuracy and DM Calls
- Conclusions
- References
- Multi-objective Phylogenetic Algorithm: Solving Multi-objective Decomposable Deceptive Problems
- Introduction
- Multi-objective Evolutionary Algorithms
- Multi-objective Estimation of Distribution Algorithms
- Multi-objective Phylogenetic Algorithm
- Distance Metric
- Neighbor Joining
- Test Problems and Results
- Future Work
- Conclusions
- References
- Multi-objective Optimization with Joint Probabilistic Modeling of Objectives and Variables
- Introduction
- Joint Modeling of Objectives and Variables
- Selection
- Model Learning
- Model Sampling
- Replacement
- Experiments
- Test Functions
- Experimental Results
- Conclusion and Further Research
- References
- A Bi-objective Based Hybrid Evolutionary-Classical Algorithm for Handling Equality Constraints
- Introduction
- Bi-objective Hybrid Equality Constraint Handling Method
- Proposed Algorithm
- Simulation Results on Standard Test Problems
- Problem g03
- Problem g05
- Problem g11
- Problem g13
- Problem g14
- Problem g15
- Problem g17
- Problem g21
- Conclusions
- References
- A New Memory Based Variable-Length Encoding Genetic Algorithm for Multiobjective Optimization
- Introduction
- Algorithm Memory and Adaptive Neighborhood
- Algorithm Memory
- Adaptive Neighborhood
- Algorithm Operators
- Evaluation Operator
- Crossover Operator
- Mutation Operator
- The MBVL-NSGA2
- Local Search Operator
- Numerical Results
- Comparison Methodology
- Test Problems
- Results
- Conclusions
- References
- A Concentration-Based Artificial Immune Network for Multi-objective Optimization
- Introduction
- The Concentration-Based Immune Network for Multi-objective Optimization
- Representation and Affinity Metrics
- Concentration Model and Suppression
- Cloning and Hypermutation
- Selection and Insertion of Individuals
- Experimental Results
- Benchmark Problems
- Methodology
- Results and Discussion
- Final Comments and Future Steps
- References
- III Applications
- Bi-objective Portfolio Optimization Using a Customized Hybrid NSGA-II Procedure
- Introduction
- Practical Portfolio Optimization
- Difficulties with Classical Methods
- Customized Hybrid NSGA-II Procedure
- Customized Initialization Procedure
- Customized Recombination Operator
- Customized Mutation Operator
- Clustering
- Local Search
- Results
- Portfolio Optimization with No Size Constraint
- Portfolio Optimization for a Fixed d
- Portfolio Optimization for a Given Range of d
- Conclusions
- References
- Aesthetic Design Using Multi-Objective Evolutionary Algorithms
- Introduction
- Digital Design Method
- State of the Art
- Experimental
- Multi-objective Optimization
- Problem Characteristics
- Optimization Strategy
- Example of Application
- Problem to Solve
- Optimization Results
- Conclusions
- References
- Introducing Reference Point Using g-Dominance in Optimum Design Considering Uncertainties: An Application in Structural Engineering
- Introduction
- The Structural Problem
- Deterministic Design
- Design Including Uncertainties
- Deterministic Optimum Design as Reference Point for Robust Optimization
- Test Case
- Results and Discussion
- Conclusions
- References
- Multiobjective Dynamic Optimization of Vaccination Campaigns Using Convex Quadratic Approximation Local Search
- Introduction
- The SIR Model
- Optimization Model
- Convex Quadratic Approximation
- Optimization Engine
- Experiments and Results
- Conclusion
- References
- Adaptive Technique to Solve Multi-objective Feeder Reconfiguration Problem in Real Time Context
- Introduction
- Related Works
- The Multi-objective Problem
- Component Modeling Issues
- Multi-objective Discussion
- Fuzzy State Estimation
- The Implemented Algorithm
- Experimental Results
- Conclusion
- References
- Variable Neighborhood Multiobjective Genetic Algorithm for the Optimization of Routes on IP Networks
- Introduction
- Problem Description and Modeling
- Structure of Multiobjective Genetic Algorithm
- Variable Neighborhood Search
- The Proposed Multiobjective Genetic Algorithm
- Genetic Representation
- Crossover Operators
- Mutation
- Results
- Conclusions and Future Work
- References
- Real-Time Estimation of Optical Flow Based on Optimized Haar Wavelet Features
- Introduction
- Related Work
- Original Method
- Proposed Algorithm
- Haar Features for Index-Based Matching
- Optional Sub-pixel Refinement
- Multi-objective Optimization
- EvolutionaryMulti-objective Optimization
- Mutating solutions
- Experiments
- Setup
- Results
- Discussion
- Conclusion
- References
- Multi-objective Genetic Algorithm Evaluation in Feature Selection
- Introduction
- Feature Selection
- MOGA in Feature Selection
- Experimental Evaluation
- Results
- Discussion
- Conclusion
- References
- A Cultural Algorithm Applied in a Bi-Objective Uncapacitated Facility Location Problem
- Introduction
- Paper Organization
- Overview
- (Evolutionary) Multi-Objective Optimization
- Bi-Objective Uncapacitated Facility Location Problem (BOUFLP)
- Bi-Objective Cultural Algorithms (BOCA)
- Non-dominated Sets: Metrics
- Metrics for Comparing NDSs
- Computational Experiments
- Instances Presentation
- Results and Discussion
- Conclusions and Future Work
- References
- A Bi-objective Iterated Local Search Heuristic with Path-Relinking for the p-Median Problem
- Introduction
- A Bi-objective ILS Heuristic with Path Relinking
- Initial Solutions
- Perturbation
- Local Search
- Acceptance Criterion
- Intensification with Path Relinking
- Parameters of the Algorithm
- The $\varepsilon$-Constraint Algorithm for the BO-p-MP
- Computational Tests
- Problem Instances
- Performance Measures
- Obtained Results
- Conclusions
- References
- A Framework for Locating Logistic Facilities with Multi-Criteria Decision Analysis
- Introduction
- The Logistic Facility Location Problem
- Decision Models for Facility Location Problems
- Traditional Decision Models
- Decision Models Considering Multiple Objectives
- A Framework for Using Multi-Criteria Analysis in Facility Location Problems
- The Traditional Optimisation Model
- Identifying and Measuring Nodal Benefits
- Identifying and Measuring Topological Benefits
- Measuring Preferences for Costs
- Defining the Overall Logistic Value Optimisation Model
- Determining Value Trade-Offs
- Exploring the Solution Layouts
- Conclusions and Directions for Further Research
- References
- Lorenz versus Pareto Dominance in a Single Machine Scheduling Problem with Rejection
- Introduction
- Pareto and Lorenz Dominance Properties
- Two-Phase Method (TPM) Implementation
- Phase One Implementation
- Phase Two Implementation
- Bi-objective Simulated Annealing Algorithm Based on Lorenz-Dominance Properties
- Numerical Experiments
- Parameters Setting
- Numerical Results
- Conclusion
- References
- GRACE: A Generational Randomized ACO for the Multi-objective Shortest Path Problem
- Introduction
- The Multi-objective Shortest Path Problem
- Ant Colony Optimization
- GRACE: A Two-Phase ACO for the MSP
- Phase I: The Quest for Supported Efficient Solutions
- Phase II: The Ant Colony
- Methodology
- Results and Discussion
- Conclusions
- References
- IV MCDM
- Modeling Decision-Maker Preferences through Utility Function Level Sets
- Introduction
- Notation and Problem Statement
- Utility Function Approximation
- Step 1
- Step 2
- Step 3
- An Illustrative Example
- The Number of Alternatives
- Rank Reversal
- Noisy Decision-Maker
- Conclusions
- References
- A MCDM Model for Urban Water Conservation Strategies Adapting Simos Procedure for Evaluating Alternatives Intra-criteria
- Introduction
- Proposed Model
- Revised Simos Procedure - Adapted to Evaluate Alternatives
- SMARTER
- Case Study
- Survey of Alternatives
- Survey of Attributes
- Application of the Revised Simos Procedure to Evaluate Alternatives on Qualitative Attributes
- Results and Analysis by SMARTER Method
- Concluding Remarks
- References
- A Multicriteria Decision Model for a Combined Burn-In and Replacement Policy
- Introduction
- Mixed Distributions
- MAUT
- Multicriteria Decision Model for a Combined Burn-In and Replacement Process
- Case Study
- Conclusion
- References
- Applying a Multicriteria Decision Model So as to Analyse the Consequences of Failures Observed in RCM Methodology
- Introduction
- RCM - Reliability Centered Maintenance
- Failure Consequences
- Multicriteria Decision Aid
- MAUT (Multiattribute Utility Theory)
- Multicriteria Decision Model for Assessing the Consequences of Functional Failures
- Identifying the Dimensions of the Consequences
- Analysing the Consequences
- Probabilistic Modeling
- Defining the Overall Utility Index
- Ranking the Alternatives
- Numerical Application
- Results
- Conclusions
- References
- Supplier Selection Based on the PROMETHEE VI Multicriteria Method
- Introduction
- Supplier Selection
- Group Decision and Multicriteria Method
- Framework for Supplier Selection with Multicriteria Model
- Numerical Application
- Concluding Remarks
- References
- Author Index
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