Given the diagram below, determine the total system reliability if the individua
ID: 389120 • Letter: G
Question
Given the diagram below, determine the total system reliability if the individual component reliabilities are: A = 0.94, B = 0.77, and C = 0.84. (Hint: Use Equations 5.2 and 5.3, and note that the reliabilities of the parallel components are different.) Round your answer to four decimal places.
Reliability = 0.9054
1) Which process, when duplicated, would achieve the largest increase in overall system reliability?
a) Process A
b) Process B
c) Process C
d) Any process. They would each have the same effect.
2) Duplicating which process would have the least improvement on system reliability?
a) Process A
b) Process B
c) Process C
d) Any process. They would each have the same effect.
3) If there are only enough funds to duplicate two processes, which two processes should be duplicated to achieve the most increase in reliability?
a) Processes A and B.
b) Processes A and C.
c) Processes B and C.
d) Any two processes will result in the same improvement.
4) Which of the following statements is least accurate?
a) Duplicating any process that has reliability less than 1.0 will improve the overall system reliability.
b) Duplicating the process that is least reliable will have the most effect on the overall system reliability.
c) Selection of processes to duplicate should be based only on how much it would improve system reliability.
d) Duplicating two processes with reliabilities less than 1.0 will improve system reliability more than duplicating just one of those two.
Explanation / Answer
1. Reliability of system = 0.94 x [ 1- (1-0.77)x(1-0.84)]
= 0.94 x [ 1- 0.23 x0.16]
On duplication of B, S.R will be = 0.94 [ 1-0.23x0.23x0.16] = 0.93
On duplication of C, S.R will be = 0.94 [ 1-0.23x0.16x0.16] = 0.9344
System reliability will increase if the higher reliable process is duplicated which means C will have max, effect.
2. Duplication of A will have least effect on reliability as it will further reduce due to multiplication with 0.94 in previous reliability.
3. Processes B and C will have maximum positive effect on reliability.
4. (a) (d) will be correct when the processes are in parallel. (b) is correct when the processes are in series.(c) is incorrect as there may be other reasons like cost consideration besides improvement in system reliability, for selection of the process for duplication.
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