Question: 3.2. Consider a single-server queueing system having Poisson arrivals at rate A. Suppose that the service times have the gamma density where a > 0

3.2. Consider a single-server queueing system having Poisson arrivals at rate A. Suppose that the service times have the gamma density

8(y) = My-le-My I(a) for y 0,

where a > 0 and μ > 0 are fixed parameters. The mean service time is a/μ and the variance is a/μZ. Determine the equilibrium mean queue length L.

8(y) = My-le-My I(a) for y 0,

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