Question
In: Operations Management
Create Gantt Chart and network Diagram Task Precedes Optimistic MostLikely Pessimistic Norm$ CrashTime Crash$ A D...
Create Gantt Chart and network Diagram
| Task | Precedes | Optimistic | MostLikely | Pessimistic | Norm$ | CrashTime | Crash$ | |
| A | D | 4 | 4 | 4 | 1000 | 3 | 1301 | |
| B | E | 2 | 3 | 28 | 1391 | 4 | 2000 | |
| C | F | 2 | 4 | 12 | 2000 | 4 | 2713 | |
| D | G | 2 | 3 | 22 | 1198 | 5 | 1400 | |
| E | G | 1 | 4 | 7 | 899 | 3 | 1100 | |
| F | H | 7 | 10 | 19 | 2500 | 6 | 3765 | |
| G | H | 1 | 3 | 11 | 792 | 3 | 1450 | |
| H | none | 2 | 2 | 8 | 300 | 1 | 504 | |
Solutions
Expert Solution
For each activity, calculate the expected time µ = (a + 4m + b)/6, where a is optimistic, m is most likely and b is pessimistic time.
| Activity | a | m | b | Expected Time (µ) |
| A | 4 | 4 | 4 | 4 |
| B | 2 | 3 | 28 | 7 |
| C | 2 | 4 | 12 | 5 |
| D | 2 | 3 | 22 | 6 |
| E | 1 | 4 | 7 | 4 |
| F | 7 | 10 | 19 | 11 |
| G | 1 | 3 | 11 | 4 |
| H | 2 | 2 | 8 | 3 |
Calculate Early Start and Early Finish times of activities to create the Gantt chart
Earliest Start (ES) is calculated by forward path method as
latest of the predecessor activities' Earliest Finish (EF). Then
calculate Earliest Finish = Earliest Start + Activity
Duration
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