Documentation/Modules/ConstraintHandler: Unterschied zwischen den Versionen
Dirk (Diskussion | Beiträge) (Created page with "==Summary== Some optimization problems require objective functions as well as constraints. require bounds on the design variables '''x...") |
Dirk (Diskussion | Beiträge) (→Summary) |
||
| Zeile 1: | Zeile 1: | ||
==Summary== | ==Summary== | ||
| − | Some optimization problems | + | Some optimization problems define [[Documentation/Notation#objectives | objectives]] as well as |
| + | [[Documentation/Notation#constraints | constraints]]. | ||
| − | + | For example, one can set for the optimization problem [[Documentation/Modules/ProblemTruss | <code>ProblemTruss </code>]] the weight of the truss to be minimized, while a constraint is set on the maximum stress and displacement of the truss. | |
| − | + | This module aggregates objectives and constraints into a single output. | |
==Properties== | ==Properties== | ||
Version vom 25. Oktober 2015, 18:48 Uhr
Inhaltsverzeichnis
Summary
Some optimization problems define objectives as well as constraints.
For example, one can set for the optimization problem ProblemTruss the weight of the truss to be minimized, while a constraint is set on the maximum stress and displacement of the truss.
This module aggregates objectives and constraints into a single output.
Properties
General
| Algorithm | deterministic (as no gradient handling is implemented) |
|---|---|
| Design Variables | continuous variables, discrete or mixed variables are possible. |
| Objectives | any number |
| Constraints | any number |
| Boundaries | Design variables values outside the boundaries are corrected |
| Initial Search Region | not affected |
| Typical X | not affected |
| Initialization | not required |
Connections
| Starting at his module | One connection of type optimization
|
|---|---|
| Ending at this module | One connection of type optimization
|
Actions
| Name | Description |
|---|---|
| - | - |
Options
The options are currently described as "pop-up help".
Module Description
The optimization algorithm proposes one or several new solutions x. Some values of x might be outside the lower bounds xl and upper bounds xu, specified in the "Problem" module. These variables are corrected to values within the bounds by thress different methods:
0. no bound handling
This option turns off the bound handling.
1. set to bounds
If one of the variables x is below or above the bounds, it is set to the bound value, i.e.
if x < xl, then x = xl else if x > xu, then x = xu
2. reflect
If one of the variables x is below or above the bounds, it is reflected from the bound. The reflection is done such that if x goes to infinity, x is equal to the lower bound and if x goes to minus infinity, it is set to the upper bound.
if x < xl, then x = xu + (xl- xu)^2 / (x - xu)
else if x > xu, then x = xl + (xu- xl)^2 / (x - xl)
Usage
-
Source Code
ToDo:Link to SVN
References
-
