How to find the best Queue in a non normal distribution

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I've been thinking about this problem for a little bit but did not find a satisfactory answer, maybe you guys can help me!

I have N queues processing data all day, and I have to find the best or a few better for some period of time to gain efficiency. But the processing time response is not normal, in fact here is an example: Processing time distribution

What metrics or tests I can monitor to help me decide which one is the fastest?