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MBA, PHD
Phoniex
Jul-2007 - Jun-2012
Corportae Manager
ChevronTexaco Corporation
Feb-2009 - Nov-2016
Question description
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Problem 6-6
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Twelve tasks, with times and precedence requirements as shown in the following table, are to be assigned to workstations that have a fixed machine cycle time of 1.5 minutes. Two heuristic rules will be tried: (1) greatest positional weight, and (2) greatest number of following tasks. |
| In each case, the tiebreaker will be shortest task time. |
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| Task | Length (minutes) |
Immediate Predecessor |
| a | 0.1 | - |
| b | 0.2 | a |
| c | 0.9 | b |
| d | 0.6 | c |
| e | 0.1 | - |
| f | 0.2 | d, e |
| g | 0.4 | f |
| h | 0.1 | g |
| i | 0.2 | h |
| j | 0.7 | i |
| k | 0.3 | j |
| l | 0.2 | k |
| b. | Assign tasks to stations under each of the two rules. |
| (1) greatest positional weight (shortest task time as tiebreaker) |
| Work Station | Tasks |
| I |
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| Â |
| II |
| Â |
| III |
| Â |
| (2) greatest number of following tasks (shortest task time as tiebreaker) |
| Work Station | Tasks |
| I |
| Â |
| II |
| Â |
| III |
| Â |
| c. |
Compute the percentage of idle time for each rule. (Round your answer to 2 decimal places. Omit the "%" sign in your response.) |
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 Percentage of idle time  % Â
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