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 at the vertical asymptote

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Question: 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

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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