Documentation/Modules/ContinuousMOTestProblems: Unterschied zwischen den Versionen

Version vom 7. April 2019, 15:53 Uhr

Summary

The module ContinuousMOTestProblems contains a set of multi-objective optimization problems, which can be used to test optimization algorithms.

Properties

General

Connections

Actions

Options

The options are the number of discrete and continuous variables and an optional time delay for per evaluation.

Module Description

Multi-Objective Sphere

The multi-objective sphere function f is a set of quadratic functions. More precisely, each f_i is computed as the square of all continuous variables.

f_i(x) = (x_i - 1)² + sum_{j, j~=i} (x_j²)

For example

f₁(x) = (x₁ - 1)² + x₂² + x₃^{2 + ...}

f₂(x) = x₁² + (x₂ - 1)² + x₃^{2 + ...}

...

The Pareto front for the two-objective case is given in the following picture:

Pareto front of the multi-objective sphere function

Usage

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Source Code

https://sourceforge.net/p/opendino/code/HEAD/tree/trunk/src/org/opendino/modules/problems/ContinuousMOTestProblems.java

References

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