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What is Pareto Front

Chapter 346
Encyclopedia of Information Science and Technology, Third Edition
A set of nondominated solutions, being chosen as optimal, if no objective can be improved without sacrificing at least one other objective. On the other hand a solution x* is referred to as dominated by another solution x if, and only if, x is equally good or better than x* with respect to all objectives.
Published in Chapter:
Elitist-Mutated Multi-Objective Particle Swarm Optimization for Engineering Design
M. Janga Reddy (Indian Institute of Technology Bombay, India) and D. Nagesh Kumar (Indian Institute of Science, India)
Copyright: © 2015 |Pages: 12
DOI: 10.4018/978-1-4666-5888-2.ch346
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Chapter 22
Swarm Intelligence for Multi-Objective Optimization in Engineering Design
Pareto front is a set of nondominated solutions, being chosen as optimal, if no objective can be improved without sacrificing at least one other objective. On the other hand a solution x* is referred to as dominated by another solution x if, and only if, x is equally good or better than x* with respect to all objectives.
Published in Chapter: Swarm Intelligence for Multi-Objective Optimization in Engineering Design; From: Encyclopedia of Information Science and Technology, Fourth Edition
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Chapter 7
An Integrated Methodology for Order Release and Scheduling in Hybrid Manufacturing Systems: Considering Worker Assignment and Utility Workers
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Chapter 2
Artificial Immune Systems as a Bio-Inspired Optimization Technique and Its Engineering Applications
The plot of the objective functions whose non-dominated vectors are in the Pareto optimal set is called the Pareto front.
Published in Chapter: Artificial Immune Systems as a Bio-Inspired Optimization Technique and Its Engineering Applications; From: Handbook of Research on Artificial Immune Systems and Natural Computing: Applying Complex Adaptive Technologies
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Chapter 8
Evolutionary Algorithms for Multi-Objective Scheduling in a Hybrid Manufacturing System
The set that corresponds to Pareto set and is composed of all Pareto optimal decision vectors is called Pareto front.
Published in Chapter: Evolutionary Algorithms for Multi-Objective Scheduling in a Hybrid Manufacturing System; From: Handbook of Research on Applied Optimization Methodologies in Manufacturing Systems
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Chapter 4
Multiobjective Optimization in Water and Environmental Systems Management- MODE Approach
Pareto Front is a set of nondominated solutions, being chosen as optimal, if no objective can be improved without sacrificing at least one other objective. On the other hand a solution x* is referred to as dominated by another solution x if, and only if, x is equally good or better than x* with respect to all objectives.
Published in Chapter: Multiobjective Optimization in Water and Environmental Systems Management- MODE Approach; From: Handbook of Research on Advanced Computational Techniques for Simulation-Based Engineering
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Chapter 13
Optimization of Drilling Parameters for Composite Laminate Using Genetic Algorithm
Pareto front gives the solution for multi-objective optimization. The Pareto front gives a set of optimal solutions that are non-dominating in nature.
Published in Chapter: Optimization of Drilling Parameters for Composite Laminate Using Genetic Algorithm; From: Data-Driven Optimization of Manufacturing Processes
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Chapter 154
Many-Objective Evolutionary Optimisation
Image of the Pareto Set onto the performance (objective) space.
Published in Chapter: Many-Objective Evolutionary Optimisation; From: Encyclopedia of Artificial Intelligence
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