PDE: a Pareto-frontier differential evolution approach for multi-objective optimization problems

2002 ◽  
Author(s):  
H.A. Abbass ◽  
R. Sarker ◽  
C. Newton
Keyword(s):  
Differential Evolution ◽  
Optimization Problems ◽  
Pareto Frontier ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Evolution Approach

A Method for Solving Multi-Objective Optimization Problems Containing an Infinite Number of Parameterized Objectives

2020 ◽  
Author(s):  
Eliot Rudnick-Cohen
Keyword(s):  
Decision Making ◽  
Infinite Number ◽  
Optimization Problems ◽  
Pareto Frontier ◽  
Brute Force ◽  
Multi Objective Optimization ◽  
New Approach ◽  
Multi Objective ◽  
Brute Force Approach ◽  
Better Than

Abstract Multi-objective decision making problems can sometimes involve an infinite number of objectives. In this paper, an approach is presented for solving multi-objective optimization problems containing an infinite number of parameterized objectives, termed “infinite objective optimization”. A formulation is given for infinite objective optimization problems and an approach for checking whether a Pareto frontier is a solution to this formulation is detailed. Using this approach, a new sampling based approach is developed for solving infinite objective optimization problems. The new approach is tested on several different example problems and is shown to be faster and perform better than a brute force approach.

Sign in / Sign up

Export Citation Format

Share Document