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Task 3 (Group Replacement) Reliant Industries is using a special purpose computer as part of industrial automation. The computer has 100 transistors in its motherboard which has to be replaced as and when failure happens. The failure rates of transistors are summarized in Table 3. Table 3- Failure Rates of Transistors in Computers End of week Probability of failure to date 0.08 0.18 0.29 0.47 0.71 0.91 1.00 1 2 3 4 6 7 The transistors could be replaced individually for a cost of RO 12.000 per transistor. If all the transistors are replaced simultaneously, it would cost RO 3.000 per transistor. Any one of the following two options can be followed to replace the transistors: (a) Replace the transistors individually as and 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).

Task 3 (Group Replacement) Reliant Industries is using a special purpose computer as part of industrial automation. The computer has 100 transistors in its motherboard which has to be replaced as and when failure happens. The failure rates of transistors are summarized in Table 3. Table 3- Failure Rates of Transistors in Computers End of week Probability of failure to date 0.08 0.18 0.29 0.47 0.71 0.91 1.00 1 2 3 4 6 7 The transistors could be replaced individually for a cost of RO 12.000 per transistor. If all the transistors are replaced simultaneously, it would cost RO 3.000 per transistor. Any one of the following two options can be followed to replace the transistors: (a) Replace the transistors individually as and 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).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Task 3 (Group Replacement) Reliant Industries is using a special purpose computer as part of industrial automation. The computer has 100 transistors in its motherboard which has to be replaced as and when failure happens. The failure rates of transistors are summarized in Table 3. Table 3- Failure Rates of Transistors in Computers End of week 1 3 4 5 7 Probability of failure to date 0.08 0.18 0.29 0.47 0.71 0.91 1.00 The transistors could be replaced individually for a cost of RO 12.000 per transistor. If all the transistors are replaced simultaneously, it would cost RO 3.000 per transistor. Any one of the following two options can be followed to replace the transistors: (a) Replace the transistors individually as and 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 the optimal replacement policy, i.e. individual replacement policy or group replacement policy. If group replacement policy is optimal, then find at what equal intervals all the transistors should be replaced.
Transcribed Image Text:Task 3 (Group Replacement) Reliant Industries is using a special purpose computer as part of industrial automation. The computer has 100 transistors in its motherboard which has to be replaced as and when failure happens. The failure rates of transistors are summarized in Table 3. Table 3- Failure Rates of Transistors in Computers End of week 1 3 4 5 7 Probability of failure to date 0.08 0.18 0.29 0.47 0.71 0.91 1.00 The transistors could be replaced individually for a cost of RO 12.000 per transistor. If all the transistors are replaced simultaneously, it would cost RO 3.000 per transistor. Any one of the following two options can be followed to replace the transistors: (a) Replace the transistors individually as and 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 the optimal replacement policy, i.e. individual replacement policy or group replacement policy. If group replacement policy is optimal, then find at what equal intervals all the transistors should be replaced.
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