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In: Statistics and Probability

Consider a two-server queue with Exponential arrival rate λ. Suppose servers 1 and 2 have exponential...

Consider a two-server queue with Exponential arrival rate λ. Suppose servers 1 and 2 have exponential rates µ1 and µ2, with µ1 > µ2. If server 1 becomes idle, then the customer being served by server 2 switches to server 1.

a) Identify a condition on λ, µ1, µ2 for this system to be stable, i. e., the queue does not grow infinitely long.

b) Under that condition, find the long-run proportion of time that server 2 is busy.

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thank you

orchestra answered 2 years ago
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