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
EBK PRINCIPLES OF OPERATIONS MANAGEMENT
- Rick Wing, salesperson for Wave SolderingSystems, Inc. (WSSI), has provided you with a proposal forimproving 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, butthe hot-air temperature control lacks reliability. According toWing, engineers at WSSI have improved the reliability of thecritical temperature controls. The new system still has the foursensitive integrated circuits controlling the temperature, butthe new machine has a backup for each. The four integratedcircuits have reliabilities of .90, .92, .94, and .96. The fourbackup 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 fourof the backup units to .93. What is the reliability of thisoption?arrow_forwardOne of the industrial robots designed by a leading producer of servomechanisms has four major components. Component 0.98, 0.95, 0.94, and 0.90. All of the components must function in order for the robot to operate effectively. b. Designers want to improve the reliability by adding a backup component. Due to space limitations, only one backup cbackup for any component will have the same reliability as the unit for which it is the backup. Compute the reliability of the robot.arrow_forwardOne of the industrial robots designed by a leading producer of servomechanisms has four major components. Components’ reliabilities are .98, .95, .94, and .90. All of the components must function in order for the robot to operate effectively.a. Compute the reliability of the robot.b. Designers want to improve the reliability by adding a backup component. Due to space limitations, only one backup can be added. The backup for any component will have the same reliability as the unit for which it is the backup. Which component should get the backup in orderto achieve the highest reliability?c. If one backup with a reliability of .92 can be added to any one of the main components, which component should get it to obtain the highest overall reliability?arrow_forward
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