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Re:Little’s Law, Scalability and Fault Tolerance: The OS is ... by pron on Tuesday February 04, 2014 @04:21PM (#7180324)
Well, it's not quite as simple as that. We're talking about a stochastic process here, and while a "hand-wavy" proof may satisfy some, there's a Little ;) more to it: http://www.ece.virginia.edu/~mv/edu/715/lectures/littles-law...
Re:Little’s Law, Scalability and Fault Tolerance: The OS is ... by DougMerritt on Tuesday February 04, 2014 @05:47PM (#7180778)
Fair enough, although even that terse lecture hand-waved (by leaving it to a reference) about ergodic systems.

I think the deeper point is along the lines of Wigner's classic "The Unreasonable Effectiveness of Mathematics in the Natural Sciences"

http://en.wikipedia.org/wiki/The_Unreasonable_Effectiveness_...

It happens to be the case that elementary dimensional analysis is sufficient in the case in hand -- and it often is.