Suppose that arrivals to a queuing system with one server follow a Poisson distribution with an average
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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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Spreadsheet Modeling And Decision Analysis A Practical Introduction To Business Analytics
ISBN: 9781305947412
8th Edition
Authors: Cliff T. Ragsdale
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