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Is there any statistical measure comparing different sets of location configurations?

Question asked by taejnkwon on Feb 6, 2015
Latest reply on Feb 9, 2015 by taejnkwon



My question may seem confusing but here is what I'd want to do;


I have a given set of facility locations as shown below, ;


And based on a predefined optimization criterion, I optimized the whole network and obtained the following configuration;


I understand that whatever the optimization criterion I used, I can simply look at the criterion value for both and say that the optimized network is "better". But I am need of another statistical measure that will tell how similar or different the new network (i.e., 2nd figure) is when compared to the existing network (i.e., 1st figure). Below is the figure showing both configurations;


I am not so sure if that performance or benchmarking measure is available to quantitatively describe how similar/different the optimized network is to the existing one, but it will be useful when I have different sets of optimization results using different criteria and see which criterion would give the solution that best matches the existing one.

Any comments or thoughts are greatly appreciated.