Guardians and Glitches: Navigating the Duality of Gen AI in AppSec
Easy steps to network construction and critical path determination
1. Easy Steps to Network
Construction and Critical Path
Determination
Project Management
Dr. Mahmoud Abbas Mahmoud
Asst. Prof.
2016
2. Easy Steps to Network
Construction and Critical Path
Determination
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
Example:
For the activities given in the table:
i) Draw the (AOA) network diagram.
ii) Find the critical activities.
iii) Find the critical path (CP).
iv) Find project completion time.
We will illustrate these steps
with the following Example.
Dr. Mahmoud Abbas Mahmoud
3. Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
4. Note:
Practically, nodes numbering
can be start by (0) or (1).
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
1
5. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
6. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
7. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
8. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
9. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
10. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
D
11. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
D
4
12. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
D
4
E
13. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
D
4
E
5
14. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
D
4
E
5
F
15. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
D
4
E
5
F
6
16. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
D
4
E
5
F
6
G
17. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
D
4
E
5
F
6
G
???????But
(G) depend on both (D) and (E)
18. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
D
4
E
5
F
6
G
Use Dummy !
19. A
1
Dr. Mahmoud Abbas Mahmoud
Duration
(week)
Preceding
Activity
Activity
10-A
7-B
5AC
6AD
9B, CE
8DF
12D, EG
2
B
3
C
D
4
E
5
F
6
G
Dummy
45. A= 10
B= 7
1
2
3
C= 5
D= 6
E= 9
4
5
6Dummy
F= 8
Dr. Mahmoud Abbas Mahmoud
G= 12
0
0
0
10
10
15
15
24
16
24
24
36
36
How to find the Critical Activities and
the Critical Path ???
46. Dr. Mahmoud Abbas Mahmoud
Remember that only a critical
activity can have a Zero Total
Float (TF)
47. Dr. Mahmoud Abbas Mahmoud
Therefore, we will calculate
the Total Floats for all
activities and each activity
has a ZERO Total Float (TF)
will be a critical activity.