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I want to implement genetic algorithm to find optimum location for placement problem with ArcGIS. Can any body explain it (step by step ) or any resources about that ?

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I don't know anything about genetic algorithms, but if you are using ArcGIS for optimal location, you will likely want to use the Spatial Analyst extension. Possibly using a weighted overlay or a fuzzy overlay.

Here are some resources on Optimization Methods and Multi Criteria Analysis which may assist you.

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