2. Magnaplex, Inc. has a complex manufacturing process, with three operations that are performed in series. Because of the nature of the process, machines frequently fall out of adjustment and must be repaired. To keep the system going, two identical machines are used at each stage; thus, if one fails, the other can be used while the first is repaired (see accompanying figure). B B Production System The reliabilities of the machines are as follows: Machine A Reliability 0.85 0.92 B C 0.90 a. Analyze the system reliability, assuming only one machine at each stage (all the backup machines are out of operation). b. How much is the reliability improved by having two machines at each stage?
2. Magnaplex, Inc. has a complex manufacturing process, with three operations that are performed in series. Because of the nature of the process, machines frequently fall out of adjustment and must be repaired. To keep the system going, two identical machines are used at each stage; thus, if one fails, the other can be used while the first is repaired (see accompanying figure). B B Production System The reliabilities of the machines are as follows: Machine A Reliability 0.85 0.92 B C 0.90 a. Analyze the system reliability, assuming only one machine at each stage (all the backup machines are out of operation). b. How much is the reliability improved by having two machines at each stage?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Transcribed Image Text:2. Magnaplex, Inc. has a complex manufacturing process, with three operations that are performed in
series. Because of the nature of the process, machines frequently fall out of adjustment and must be
repaired. To keep the system going, two identical machines are used at each stage; thus, if one fails,
the other can be used while the first is repaired (see accompanying figure).
B
B
Production System
The reliabilities of the machines are as follows:
Machine
A
Reliability
0.85
0.92
B
C
0.90
a. Analyze the system reliability, assuming only one machine at each stage (all the backup machines
are out of operation).
b. How much is the reliability improved by having two machines at each stage?
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