Question: Suppose that arrivals to a queuing system with one server follow a Poisson distribution with an average of = 5 per time period,

Suppose that arrivals to a queuing system with one server follow a Poisson distribution with an average of λ = 5 per time period, and that service times follow an exponential distribution with an average service rate of μ = 6 per time period.

a. Compute the operating characteristics for this system using the M/M/s model with s = 1.

b. Compute the operating characteristics for this system using the M/G/1 model. (The average service time for the exponential random variable is 1/‑ and the standard deviation of the service time is also 1/μ)

c. Compare the results obtained from the M/M/1 and M/G/1 models. (They should be the same.) Explain why they are the same.

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