An machine with constant failure rate 0.002 per hours is operated 8 hours per day, 230 days per year. The mean downtime required to repair the machine and bring it back into operation is MDT = 5 hours. The machine can only fail during active operation. If a repair action cannot be completed within normal working hours, overtime will be used to complete the repair such that the machine is available next morning.  (a) Determine the average availability of the machine (during the planned working hours).  (b) Determine the average availability of the machine if the use of overtime were not allowed.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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An machine with constant failure rate 0.002 per hours is operated 8 hours per day, 230 days per year. The mean downtime required to repair the machine and bring it back into operation is MDT = 5 hours. The machine can only fail during active operation. If a repair action cannot be completed within normal working hours, overtime will be used to complete the repair such that the machine is available next morning. 
(a) Determine the average availability of the machine (during the planned working hours). 
(b) Determine the average availability of the machine if the use of overtime were not allowed.

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