Documentation/Modules/ContinuousMOTestProblems: Unterschied zwischen den Versionen
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The multi-objective sphere function '''f''' is a set of quadratic functions. More precisely, each ''f<sub>i'' is computed as the square of all continuous variables. | The multi-objective sphere function '''f''' is a set of quadratic functions. More precisely, each ''f<sub>i'' is computed as the square of all continuous variables. | ||
| − | ''f<sub>i</sub>''('''x''') = sum<sub>i</sub>(x<sub> | + | ''f<sub>i</sub>''('''x''') = ''x<sub>i</sub>''<sup>2</sup> + sum<sub>''j, j~=i''</sub> (x<sub>''j''</sub><sup>2</sup>) |
This function is also referred to as the ''sphere function''. | This function is also referred to as the ''sphere function''. | ||
Version vom 7. April 2019, 14:14 Uhr
Inhaltsverzeichnis
Summary
The module ContinuousMOTestProblems contains a set of multi-objective optimization problems, which can be used to test optimization algorithms.
Properties
General
| Algorithm | deterministic test function |
|---|---|
| Design Variables | continuous design variables only |
| Objectives | multi-objective for minimization |
| Constraints | none |
| Boundaries | problem dependent |
| Initial Search Region | problem dependent |
| Typical X | not set |
Connections
| Starting at his module | none |
|---|---|
| Ending at this module | Connections of type optimization
|
Actions
| Name | Description |
|---|---|
| - | - |
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 fi is computed as the square of all continuous variables.
fi(x) = xi2 + sumj, j~=i (xj2)
This function is also referred to as the sphere function.
Usage
-
Source Code
References
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