Question: 9.3.2 Consider a single-server queueing system having Poisson arrivals at rate . Suppose that the service times have the gamma density where > 0 and

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

g(y)= -- T (a) for y 0,

where > 0 and > 0 are fixed parameters. The mean service time is = and the variance is =2. Determine the equilibrium mean queue length L.

g(y)= -- T (a) for y 0,

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