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प्रश्न
A Project has the following time schedule
| Activity | 1 - 2 | 1 - 6 | 2 - 3 | 2 - 4 | 3 - 5 | 4 - 5 | 6 - 7 | 5 - 8 | 7 - 8 |
| Duration (in days) | 7 | 6 | 14 | 5 | 11 | 7 | 11 | 4 | 18 |
Construct the network and calculate the earliest start time, earliest finish time, latest start time and latest finish time of each activity and determine the Critical path of the project and duration to complete the project.
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उत्तर
E1 = 0
E2 = 0 + 7 = 7
E3 = 7 + 14 = 21
E4 = 7 + 5 = 12
E5 = 21 + 11 or (12 + 7)
Whichever is maximum
= 32
E6 = 0 + 6 = 6
E7 = 6 + 11 = 17
E8 = 17 + 18 = 35
L8 = 35
L7 = 35 – 18 = 17
L6 = 17 – 11 = 6
L5 = 35 – 4 = 31
L4 = 32 – 7 = 25
L3 = 32 – 11 = 21
L2 = (21 – 14) or (25 – 5)
whichever is minimum
= 7
L1 = 7 – 7 = 0
| Activity | Duration tij |
EST | EFT = EST + tij | LST = LFT – tij | LFT |
| 1 - 2 | 7 | 0 | 7 | 7 – 7 = 0 | 7 |
| 1 - 6 | 6 | 0 | 6 | 7 – 6 = 1 | 7 |
| 2 - 3 | 14 | 7 | 21 | 21 – 14 = 7 | 21 |
| 2 - 4 | 5 | 7 | 12 | 25 – 5 = 20 | 25 |
| 3 - 5 | 11 | 21 | 32 | 31 – 11 = 21 | 32 |
| 4 - 5 | 7 | 12 | 19 | 32 – 25 = 7 | 14 |
| 6 - 7 | 11 | 6 | 17 | 18 – 11 = 7 | 18 |
| 5 - 8 | 4 | 32 | 36 | 36 – 4 = 32 | 36 |
| 7 - 8 | 18 | 17 | 36 | 36 – 18 = 18 | 36 |
Since EFT and LFT are same in 1 - 2, 2 - 3, 3 - 5 and 5 - 8.
Hence the critical path is 1 - 2 - 3 - 5 - 8 and the duration of time taken is 36 days.
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संबंधित प्रश्न
Draw the network for the project whose activities with their relationships are given below:
Activities A, D, E can start simultaneously; B, C > A; G, F > D, C; H > E, F.
Draw the event oriented network for the following data:
| Events | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Immediate Predecessors | - | 1 | 1 | 2, 3 | 3 | 4, 5 | 5, 6 |
Construct the network for the projects consisting of various activities and their precedence relationships are as given below:
A, B, C can start simultaneously A < F, E; B < D, C; E, D < G
Construct the network for each the projects consisting of various activities and their precedence relationships are as given below:
| Activity | A | B | C | D | E | F | G | H | I | J | K |
| Immediate Predecessors | - | - | - | A | B | B | C | D | E | H, I | F, G |
A project schedule has the following characteristics
| Activity | 1 - 2 | 1 - 3 | 2 - 4 | 3 - 4 | 3 - 5 | 4 - 9 | 5 - 6 | 5 - 7 | 6 - 8 | 7 - 8 | 8 - 10 | 9 - 10 |
| Time | 4 | 1 | 1 | 1 | 6 | 5 | 4 | 8 | 1 | 2 | 5 | 7 |
Construct the network and calculate the earliest start time, earliest finish time, latest start time and latest finish time of each activity and determine the Critical path of the project and duration to complete the project.
In constructing the network which one of the following statements is false?
Which of the following is not correct?
In critical path analysis, the word CPM mean
Draw a network diagram for the following activities.
| Activity code | A | B | C | D | E | F | G | H | I | J | K |
| Predecessor activity | - | A | A | A | B | C | C | C, D | E, F | G, H | I, J |
Draw the network diagram for the following activities.
| Activity code | A | B | C | D | E | F | G |
| Predecessor activity | - | - | A | A | B | C | D, E |
