Consider again the equation for queue length we first saw at the beginning of Section 12 4 Just to remind you, if is the average rate of arrivals at the queue, and is the average serving time, then the average length of a queue, L, is given by L() 2 ( ) Show that both L() and L 0 () go to infinity ...

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Consider again the equation for queue length we first saw at the beginning of Section 12.4. Just

Question:

Consider again the equation for queue length we first saw at the beginning of Section 12.4. Just to remind you, if λ is the average rate of arrivals at the queue, and µ is the average serving time, then the average length of a queue, L, is given by L(λ) =

µ(µ − λ)

Show that both L(λ) and L 0 (λ) go to infinity at the vertical asymptote.

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