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Solution of MTH601 Assignment No 1 2019 Operations Research Due Date 19-05-2019
Solution of Assignment is Given Below;
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Question:
For the given network diagram
1. Construct a table which shows the relationship between the activities and their predecessors.
2. Calculate the following time estimates for each activity.
Earliest Start Time(EST)
Earliest Finish Time (EFT)
Latest Start Time (LST)
Latest Finish Time (LFT)
3. Calculate the total float for each activity.
4. Identify the critical path.
5. Find the project completion time.
Note: The duration of each given activity is in days
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1. Construct the table which shows the relationship.
| Activities | Predecessor |
|---|---|
| A | - |
| B | A |
| C | - |
| D | C |
| E | B |
| F | D, E |
| G | F |
2. Calculate the following
a. Earliest Start Time
b. Earliest Finish Time
c. Latest Start Time
d. Latest Finish Time
| Activities | Earliest Start Time | Earliest Finish Time | Latest Start Time | Latest Finish Time |
|---|---|---|---|---|
| A | 0 | 4 | 0 | 4 |
| B | 4 | 11 | 4 | 11 |
| C | 0 | 6 | 6 | 12 |
| D | 6 | 11 | 13 | 18 |
| E | 11 | 18 | 11 | 18 |
| F | 18 | 24 | 18 | 24 |
| G | 24 | 29 | 24 | 29 |
4. Critical Path
There are 2 Paths
A+B+E+F+G = 4 +7 + 7 +6+5 = 29
C+D+F+G=6+5+6+5 =22
A+B+E+F+G longest Path hence critical path is 29.
5. Project Completion Time is 29 Days
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