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The Tailure rates of transistors in a computer are summarized in the following table. End of week 2. 3 4 Probability of failure to date 0.09 0.17 0.27 0.50 0.65 0.90 1.00 The cost of replacing an individual failed transistor is $8. If all the transistors are replaced simultaneously, it would cost $4 per transistor. Any one of the following two options can be followed to replace the transistors: (a) Replace the transistors individually when they fail (individual replacement policy). (b) Replace all the transistors simultaneously at fixed intervals and replace the individual transistors as they fail in service during the fixed interval (Group replacement policy). Find out which is the optimal replacement policy, i.e. the individual replacement policy or the group replacement policy. If the group replacement policy is optimal, then find at what equal intervals should all the transistors be replaced.

The Tailure rates of transistors in a computer are summarized in the following table. End of week 2. 3 4 Probability of failure to date 0.09 0.17 0.27 0.50 0.65 0.90 1.00 The cost of replacing an individual failed transistor is $8. If all the transistors are replaced simultaneously, it would cost $4 per transistor. Any one of the following two options can be followed to replace the transistors: (a) Replace the transistors individually when they fail (individual replacement policy). (b) Replace all the transistors simultaneously at fixed intervals and replace the individual transistors as they fail in service during the fixed interval (Group replacement policy). Find out which is the optimal replacement policy, i.e. the individual replacement policy or the group replacement policy. If the group replacement policy is optimal, then find at what equal intervals should all the transistors be replaced.

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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8) The Failure rates of transistors in a computer are summarized in the following table. End of week 1 3 Probability of failure to date 0.09 0.17 0.27 0.50 0.65 0.90 1.00 The cost of replacing an individual failed transistor is $8. If all the transistors are replaced simultaneously, it would cost S4 per transistor. Any one of the following two options can be followed to replace the transistors: I (a) Replace the transistors individually when they fail (individual replacement policy). (b) Replace all the transistors simultaneously at fixed intervals and replace the individual transistors as they fail in service during the fixed interval (Group replacement poliey). Find out which is the optimal replacement policy, i.e. the individual replacement policy or the group replacement policy If the group replacement policy is optimal, then find at what equal intervals should all the transistors be replaced.
Transcribed Image Text:8) The Failure rates of transistors in a computer are summarized in the following table. End of week 1 3 Probability of failure to date 0.09 0.17 0.27 0.50 0.65 0.90 1.00 The cost of replacing an individual failed transistor is $8. If all the transistors are replaced simultaneously, it would cost S4 per transistor. Any one of the following two options can be followed to replace the transistors: I (a) Replace the transistors individually when they fail (individual replacement policy). (b) Replace all the transistors simultaneously at fixed intervals and replace the individual transistors as they fail in service during the fixed interval (Group replacement poliey). Find out which is the optimal replacement policy, i.e. the individual replacement policy or the group replacement policy If the group replacement policy is optimal, then find at what equal intervals should all the transistors be replaced.
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