Question: Variability Basics Machine outage causes variability. Consider two workstations with the same natural process time mean and standard deviation of 8 and 2 minutes, respectively.

Variability Basics

Machine outage causes variability. Consider two workstations with the same natural process time mean and standard deviation of 8 and 2 minutes, respectively. Both workstations have the same long-term availability. Workstation 1 has a mean time to failure (MTTF) of 100 hours (6000 minutes) and a mean time to repair (MTTR) of 7 hours (420 minutes). Workstation 2 has MTTF = 580 minutes and MTTR = 40 minutes.

(a) What are the availabilities of the workstations?

(b) If both mean time between failures and time to repair are exponentially distributed, then estimate the mean, variance and coefficient of the effective processing time

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