Continuation. Consider the M/M/1 queueing model in thepreceding exercise with p property of Markov chains in Proposition 67 implies that thetimes betweenempty epochs ξn are i.i.d. and the durations of...

Continuation. Consider the M/M/1 queueing model in thepreceding exercise with pproperty of Markov chains in Proposition 67 implies that thetimes betweenempty epochs ξn are i.i.d. and the durations of the busy periods βn are i.i.d.for n ≥ 2. Find an expression for E0[ξ1] and show that Verify that E0[β1] tends to ∞ as p ↑ q (the traffic is heavy), and it tends to1 as p ↓ 0 (the traffic is light).Example 29

May 07, 2022
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