Hybrid Robust Multi-Objective Evolutionary Optimization Algorithm

Abstract

A hybrid robust multi-objective optimization algorithm and accompanying software were developed that: 1) utilize several evolutionary optimization algorithms, a set of rules for automatic switching among these algorithms in order to accelerate the overall convergence and avoid termination in a local minimum, 2) involve development of algorithms for multi-dimensional response surfaces (metamodels) that are fast, accurate and robust by utilizing wavelet-based artificial neural networks, polynomials of radial basis functions, and multi-layer self adapting maps, 3) involve an algorithm based on Bayesian statistics (using Kalman filters and Monte Carlo Markov chains) that will enhance robustness of the multi-objective optimization algorithm by accounting for uncertainties in the input data and in the accuracy of the evaluation methods for the multiple objective functions. The hybrid evolutionary multi-objective optimization algorithm was also thoroughly tested on a number of standard test problems with two and three simultaneous objectives where the Pareto surface could be continuous and discontinuous. The hybrid optimizer was programmed in such a way that it can be transportable to any single-processor or parallel processor.

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Document Details

Document Type
Technical Report
Publication Date
Mar 10, 2009
Accession Number
ADA495422

Entities

People

  • George S. Dulikravich

Organizations

  • Florida International University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Evolutionary Algorithms
  • Fluid Flow
  • Genetic Algorithms
  • Inverse Problems
  • Materials
  • Materials Engineering
  • Materials Science
  • Mathematical Filters
  • Monte Carlo Method
  • Multiobjective Optimization
  • Neural Networks
  • Operating Systems
  • Particle Swarm Optimization

Fields of Study

  • Computer science

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Vision.
  • Operations Research

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms