Consider buildup of a line at a supermarket. If avg arrival rate equals avg processing rate (1 per min for ex), how long is the line on avg?
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depends on the variance/distribution, of course, along with the realization that you can't process a line that isn't there
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I'm sure some queuing theory textbook has this as an exercise.
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Yes, and if variance is above 0, the long term average is infinity.
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It's a 1-d random walk, so should grow at sqrt(n) I'm guessing. Been a while...



