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Suppose jobs arrive at single-machine workstation

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Suppose jobs arrive at a single-machine workstation at a rate of 20 per hour and the average process time is 2 1/2 minutes.

a) What is the utilization of the machine?

b) Suppose that interarrival and process times are exponential,

i. What is the average time a job spends at the station (i.e., waiting plus process time)?

ii. What is the average number of jobs at the station?

iii. What is the long-run probability of finding more than three jobs at the station?

c) Now suppose process times are not exponential, but instead have a mean of 2 1/2 minutes and a standard deviation of 5 minutes

i. What is the average time a job spends at the station?

ii. What is the average number of jobs at the station?

iii. What is the average number of jobs in the queue?

Reference no: EM131437440

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