Problem 6-36 modified Consider the system in Figure 6-14. The reliabilities in t

Question

Problem 6-36 modified Consider the system in Figure 6-14. The reliabilities in the table below apply to the first 100 hours of operation. (Note that component 2 should have lines connecting it to the system.) ent Reliabalit 0.70 0.75 0.85 (a) Determine the system reliability Reliability=0.926905 X (b) Upgrade component 4 to .9 reliability. Recompute the system reliability. Reliability= (c) Another possible upgrade is to replace the type-4 component with two type-4 components in parallel, each at the original reliability of 0.70. Recompute the reliability for that system Reliability-

Explanation / Answer

a) relaibility of (1,2,3) subsystem =1-(1-0.7)*(1-0.75)*(1-0.85)=0.98875

relaibility of (5,6) subsystem =1-(1-0.70)*(1-0.80)=0.94

hence relaibility of system=0.98875*0.7*0.94=0.6505975

b)new relaibility =0.98875*0.9*0.94=0.8364825

c) for subsytem 4 ; reliability =1-(1-0.7)*(1-0.7)=0.91

hence new reliability=0.98875*0.91*0.94=0.84577675

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