Documentation/Modules/ContinuousMOTestProblems - Versionsgeschichte

Admin: /* Module Description */

2019-04-07T16:29:40Z

‎Module Description

2019-04-07T16:20:07Z

‎Multi-Objective Sphere

2019-04-07T13:53:58Z

‎Multi-Objective Sphere

2019-04-07T13:31:13Z

‎Multi-Objective Sphere

2019-04-07T13:19:00Z

‎Multi-Objective Sphere

2019-04-07T13:14:30Z

‎Multi-Objective Sphere

2019-04-07T13:10:33Z

‎Computation of the Objective

2019-04-07T13:08:40Z

‎General

2019-04-07T13:08:17Z

‎Summary

2019-04-07T13:07:52Z

‎Source Code

@@ Zeile 74: / Zeile 74: @@
 The Pareto front for the two-objective case is given in the following picture:
-[[Image:moo_sphere.png|100x100px|center|thumb|300x300px|Pareto front of the multi-objective sphere function]]
+{|
 ==Usage==

@@ Zeile 74: / Zeile 74: @@
 The Pareto front for the two-objective case is given in the following picture:
-[[Image:moo_sphere.png|frame|center|10px|Pareto front of the multi-objective sphere function]]
+[[Image:moo_sphere.png|100x100px|center|thumb|300x300px|Pareto front of the multi-objective sphere function]]
 ==Usage==

← Nächstältere Version		Version vom 7. April 2019, 13:53 Uhr
Zeile 73:		Zeile 73:

	The Pareto front for the two-objective case is given in the following picture:		The Pareto front for the two-objective case is given in the following picture:
		+
		+	[[Image:moo_sphere.png\|frame\|center\|10px\|Pareto front of the multi-objective sphere function]]

	==Usage==		==Usage==

@@ Zeile 65: / Zeile 65: @@
 For example
-''f<sub>1</sub>''('''x''') = (''x<sub>1</sub>'' - 1)<sup>2</sup> + ''x''<sub>2</sub><sup>2             + ''x''<sub>3</sub><sup>2 + ...
-''f<sub>2</sub>''('''x''') =  ''x<sub>1</sub>''     <sup>2</sup> + (''x<sub>2</sub>'' - 1)<sup>2</sup> + ''x''<sub>3</sub><sup>2 + ...
+''f<sub>1</sub>''('''x''') = (''x<sub>1</sub>'' - 1)<sup>2</sup> + ''x''<sub>2</sub><sup>2</sup>       + ''x''<sub>3</sub><sup>2 + ...
 ...
 ==Usage==

@@ Zeile 62: / Zeile 62: @@
 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''') = ''x<sub>i</sub>''<sup>2</sup> + sum<sub>''j, j~=i''</sub> (x<sub>''j''</sub><sup>2</sup>)
+''f<sub>i</sub>''('''x''') = (''x<sub>i</sub>'' - 1)<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''.
+For example
 ==Usage==

@@ Zeile 58: / Zeile 58: @@
 ==Module Description==
-=== Computation of the Objective ===
+=== Multi-Objective Sphere ===
-The single objective function ''f'' is a quadratic function. More precisely, ''f'' is computed as the square of all continuous and discrete 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''('''x''') = sum<sub>i</sub>(x<sub>i</sub><sup>2</sup>)
+''f<sub>i</sub>''('''x''') = sum<sub>i</sub>(x<sub>i</sub><sup>2</sup>)
 This function is also referred to as the ''sphere function''.

@@ Zeile 13: / Zeile 13: @@
 |-
 ! Design Variables
-| Continuous design variables only
+| continuous design variables only
 |-
 ! Objectives
@@ Zeile 28: / Zeile 28: @@
 |-
 ! Typical X
-| not set.
+| not set
 |-
 |}

@@ Zeile 1: / Zeile 1: @@
 ==Summary==
-The module <code>ContinuousMOTestProblems</code> contains a set of multi-objective optimization problesm, which can be used to test optimization algorithms.
+The module <code>ContinuousMOTestProblems</code> contains a set of multi-objective optimization problems, which can be used to test optimization algorithms.
 ==Properties==

@@ Zeile 70: / Zeile 70: @@
 ==Source Code==
-https://sourceforge.net/p/opendino/code/HEAD/tree/trunk/src/org/opendino/modules/problems/ProblemMOTestProblems.java
+https://sourceforge.net/p/opendino/code/HEAD/tree/trunk/src/org/opendino/modules/problems/ContinuousMOTestProblems.java
 ==References==
+-