A production line has three machines A, B, and C, with reliabilities of .90, .95, and .98, respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three. a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability c. Which plan will provide the higher reliability? Plan 1 O Plan 2
A production line has three machines A, B, and C, with reliabilities of .90, .95, and .98, respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three. a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal places.) Reliability c. Which plan will provide the higher reliability? Plan 1 O Plan 2
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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
Transcribed Image Text:A production line has three machines A, B, and C, with reliabilities of .90, .95, and .98, respectively. The
machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two
alternative designs for increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan
2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used
with reliabilities equal to the original three.
a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer
to 4 decimal places.)
Reliability
b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer
to 4 decimal places.)
Reliability
c. Which plan will provide the higher reliability?
Plan 1
O Plan 2
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