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Good talk, I feel like I've tread exactly this same thinking and given a similar talk internally (i accidentally ended up as the LB SME), even used poisson distribution to model the requests and do some code demos.

He references a simple algorithm/paper on simply chosing between two servers, and the results on the smoothing out of variance was impressive (paper: https://www.eecs.harvard.edu/~michaelm/postscripts/mythesis.... ).

So, no real conclusion, it's just interesting to peel back the layers of LB.. so many people treat it as magic, when really its a statistical lie - and impossible to achieve perfect distribution (hence the title)!

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