The GA Playground: Wood's Function
A four-variables-function minimization
Formulation:
f(x) = 100*(x2-x1^2) + (1-x1)^2 + 90*(x4-x3^2)^2 + (1-x3)^2 + 10.1*((x2-1)^2+(x4-1)^2) + 19.9*(x2-1)*(x4-1))
x1,x2,x3,x4 = (0..10)
Problem Specific Notes:
- The problem definition file is MultiVarMin.par
- The minimum is at x1=1, x2=1, x3=1, x4=1
- This function is an example to problems that are not suitable for GA, since a local optimum has no relation to the global optimum. Yet, if any small value for the function is sufficient, the GA can suggest many solutions.
Instructions:
- The applet requires a browser that supports JDK 1.1.5 or above
- The applet has a relatively long loading time
- Hide browser's toolbars to make the whole applet visible without scrolling
- Optionally select 'Parameters' from the 'GA' menu to modify problem attributes
- Select 'Execute' from the 'GA' menu to run the program
- Status bar help tips can be toggled On or Off through the 'Options' menu
- Text window reporting can be toggled On or Off through the 'Options/Switches' menu
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Ariel Dolan
aridolan@netvision.net.il
Tel. 972-3-7526264
Fax. 972-3-5752173
Last modified on: Tuesday, 30 June, 1998.