I remember a question asked of me in college. I believe it was something like this: Imagine a toll booth. Suppose people arrive at a rate of an average of 1 per minute, and suppose that it takes exactly 1 minute to process each person at the toll booth. After an extended amount of time, what is the length of the line? Have you heard this question, is the answer an infinite line?
A reference is
Christos G. Cassandras, Discrete Event Systems, Irwin, 1993, pp. 349 356.
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