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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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