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Rick Wing, salesperson for Wave Soldering Systems, Inc. (WSSI), has provided you with a proposal for improving the temperature control on your present machine. The machine uses a hot-air knife to cleanly remove excess solder from printed circuit boards; this is a great concept, but the hot-air temperature control lacks reliability. According to Wing, engineers at WSSI have improved the reliability of the critical temperature controls. The new system still has the four sensitive integrated circuits controlling the temperature, but the new machine has a backup for each. The four integrated circuits have reliabilities of .90, .92, .94, and .96. The four backup circuits all have a reliability of .90.
a) What is the reliability of the new temperature controller?
b) If you pay a premium, Wing says he can improve all four of the backup units to .93. What is the reliability of this option?
a)
To determine: The reliability of the new temperature controller.
Explanation of Solution
Draw a schematic diagram as shown in figure of the reliabilities of the four integrated circuits along with their respective back ups for the wave soldering machine given that
The combined reliabilities RC with backups for each integrated circuit can be expressed as follows
The reliability of the temperature controller is 0.9723.
b)
To determine: The reliability of this option.
Explanation of Solution
The reliability of each of the backup integrated circuits has been improved from 0.9 to 0.93. To calculate the reliability of the temperature controller, again draw a schematic diagram as shown in figure of the reliabilities of the four integrated circuits along with their respective back ups for the wave soldering machine given that
The combined reliabilities RC with backups for each integrated circuit can be expressed as follows
The reliability of the temperature controller improves to 0.9805 from an earlier figure of 0.9723.
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Chapter 17 Solutions
PRIN.OF OPERATIONS MANAGEMENT-MYOMLAB
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Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,MarketingMarketingISBN:9780357033791Author:Pride, William MPublisher:South Western Educational Publishing