What is the utilization of the station with an arrival rate of 13.5 jobs per hour?

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What is the utilization of the station with an arrival rate of 13.5 jobs per hour?

 Consider a workstation with five machines. The arrival rate of jobs is 13.5 jobs per hour (with c 2 a = 1). Each machine takes 0.3 hour per job with a natural CV of 1 2 (that is, c 2 0 = 0.25). The mean time to failure for any machine is 36 hours, and repair times are exponential with a mean time to repair of 4 hours.

(a) Show that the SCV of effective process times is 2.65.

(b) What is the utilization of a single machine when it is allocated one-fifth of the demand (that is, 2.7 jobs per hour) assuming ca is still equal to 1?

(c) What is the utilization of the station with an arrival rate of 13.5 jobs per hour?

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