Author Question: As the average service rate increases, the shape of the negative exponential distribution of service times (Read 53 times)

panfilo · **on:** Dec 3, 2019

Question 1

A waiting line model meeting the assumptions of M/M/1 has an arrival rate of 2 per hour and a service rate of 6 per hour; the utilization factor for the system is approximately
◦ 0.33.
◦ 3.00.
◦ 0.25.
◦ 0.50.
◦ 0.67.

Question 2

As the average service rate μ increases, the shape of the negative exponential distribution of service times
◦ takes on a more uniform slope over a wide range of service times.
◦ becomes less gently curved as it moves ever closer to the graph origin.
◦ grows steadily steeper without limit.
◦ changes in appearance from convex to concave.
◦ has an ever steeper slope that eventually turns positive.

moormoney · **Reply #1 on:** Dec 3, 2019

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