For a computer to work properly, three subsystems of the computer must all function properly. To increase
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For a computer to work properly, three subsystems of the computer must all function properly. To increase the reliability of the computer, spare units may be added to each system. It costs $100 to add a spare unit to system 1, $300 to system 2, and $200 to system 3. As a function of the number of added spares (a maximum of two spares may be added to each system), the probability that each system will work is given in Table.
| Probability That a System Works | ||
Number of Spares | System 1 | System 2 | System 3 |
0 | .85 | .60 | .70 |
1 | .90 | .85 | .90 |
2 | .95 | .95 | .98 |
Use dynamic programming to maximize the probability that the computer will work properly, given that $600 is available for spare units.
Related Book For
Operations Management Creating Value Along the Supply Chain
ISBN: 978-0470525906
7th Edition
Authors: Roberta S. Russell, Bernard W. Taylor
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