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(Solved) Assignment# 10 Availability Optional (No due date, just for practice) 1. A replaceable and repairable engine starting unit having a high failure rate...


The assignment is about reliability engineering.                                   Please see the attachment

Assignment# 10
Availability
Optional (No due date, just for practice)
1. A replaceable and repairable engine starting unit having a high failure rate has an MTBF
of 10 operating hours. A backup is even less reliable, with MTBF of 5 hr. If repair
averages 2 hr, determine the steady state availability of the engine starting system?
2. A generator system consists of a primary and a standby unit. The primary fails at a
constant failure rate of 2 per month, and the standby unit fails only when on-line at a
constant rate of 4 per month. Repair can begin only when both units have failed. Both
units are repaired at the same time with an MTTR of 20 days. Derive the steady state
equations for the state probabilities and solve for the system availability.
3. An emergency backup generator experiences standby (dormant) failures at a constant rate
of 0.00314 per day. It takes 6 hr to inspect and test the generator. If it is found to be
inoperative, it takes 24 hour to repair it. Determine an inspection interval that will
maximize the availability of generator.
4. A radar unit consists of two primary components: a power supply and a transceiver. The
power supply has a constant failure rate of 0.0031 failures per operating hour and takes
an average of 5 hr (mean) to repair (constant repair rate). The transceiver fails an average
(mean) of every 100 operating hours (constant failure rate) and takes 3 hr to repair
(constant repair rate). What is the point availability of the radar unit after 10 hr use? How
much does this differ from the steady state availability? If two radar units are operating in
parallel (high-level active redundancy), what are the point, interval (after 10 hr), and
steady state availability?
5. Derive steady-state availability solution to the two-component active redundant system
(constant failure rate) when repair can be accomplished as shown in eth following
diagram.
1
λ r
λ r
2 3 r λ λ
4 1

 


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