2024 – Problem 6 6 Twelve tasks with times and precedence requirements as shown in the following
12 Tasks – 2024
2024 – Problem 6 6 Twelve tasks with times and precedence requirements as shown in the following.
Problem 6-6
|
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. |
<
<
<
| 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 | |
| II | |
| III | |
|
|
|
<
<
<
| (2) greatest number of following tasks (shortest task time as tiebreaker) |
<
<
<
| Work Station | Tasks |
| I | |
| II | |
| III | |
|
|
|
<
<
<
| c. |
Compute the percentage of idle time for each rule. (Round your answer to 2 decimal places. Omit the “%” sign in your response.) |
<
<
<
| Percentage of idle time | [removed] % |
Need assignment writing services that are 100% risk-free. Our writers are capable of providing the best assignment help to students in globally at best rates.
Assignment online is a team of top-class experts whose only goal is to give you the best assignment help service. Follow the link below to order now...
#write essay #research paper
