Problem 4S-7 (Algo) A production line has three machines A, B, and C, with reliabilities of .90, .95, and .96, 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 production line (consisting of identical machines A,B, and C), and plan 2 involves providing a backup machine 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

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
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Problem 4S-7 (Algo)
A production line has three machines A, B, and C, with reliabilities of .90, .95, and .96, 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 production line (consisting of identical machines A,B, and C), and plan 2 involves providing a
backup machine 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
Transcribed Image Text:Problem 4S-7 (Algo) A production line has three machines A, B, and C, with reliabilities of .90, .95, and .96, 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 production line (consisting of identical machines A,B, and C), and plan 2 involves providing a backup machine 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
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