PREPARATION OF NETWORK INVOLVING USE OF DUMMY ACTIVITIES
Problem 6.56
Draw a network from the following activity and find critical path and total duration of project.
| Activity | Immediate Predecessors | Duration (Days) |
| A | — | 10 |
| B | — | 24 |
| C | A | 14 |
| D | C | 21 |
| E | D | 14 |
| F | E | 25 |
| G | E | 10 |
| H | D | 20 |
| I | B, D | 8 |
| J | F, G, H, I | 13 |
| K | J | 4 |
| L | J | 12 |
| M | K, L | 4 |
| N | M | 4 |
Solution
| Various Paths | Duration of Paths |
| 1 - 2 - 3 - 4 - 5 - 8 - 9 - 10 - 11 - 12 - 13 | 10 + 14 + 21 + 0 + 8 + 13 + 4 + 0 + 4 + 4 = 78 |
| 1 - 2 - 3 - 4 - 5 - 8 - 9 - 11 - 12 - 13 | 10 + 14 + 21 + 0 + 8 + 13 + 12 + 4 + 4 = 86 |
| 1 - 2 - 3 - 4 - 6 - 7 - 8 - 9 - 10 - 11 - 12 - 13 | 10 + 14 ... |
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