In: Operations Management
Assume a project information is given in the table below:
Activity | Immediate Processor | Duration (Days) |
---|---|---|
A | --- | 5 |
B | --- | 5 |
C | --- | 5 |
D | A, B | 4 |
E | B | 3 |
F | C | 8 |
G | D, E | 6 |
1. A. 1; ANY CRITICAL ACTIVITY CAN BE DELAYED TO DELAY THE PROJECT
2. A. 1, E IS A NON CRITICAL ACTIVITY WITH A SLACK OF 1, DELAYING IT ONCE WILL MAKE IT CRITICAL.
3. B. 2, C AND F CAN BE DELAYED ONCE WITH NO CHANGE TO THE CRITICAL PATH.
4. B. 2. C AND F
ACTIVITY |
DURATION |
ES |
EF |
LS |
LF |
SLACK |
CRITICAL |
A |
5 |
0 |
5 |
0 |
5 |
5 - 5 = 0 |
YES |
B |
5 |
0 |
5 |
0 |
5 |
5 - 5 = 0 |
YES |
C |
5 |
0 |
5 |
2 |
7 |
7 - 5 = 2 |
|
D |
4 |
5 |
9 |
5 |
9 |
9 - 9 = 0 |
YES |
E |
3 |
5 |
8 |
6 |
9 |
9 - 8 = 1 |
|
F |
8 |
5 |
13 |
7 |
15 |
15 - 13 = 2 |
|
G |
6 |
9 |
15 |
9 |
15 |
15 - 15 = 0 |
YES |
ES = MAX(EF OF ALL PREDECESSORS); 0 FOR FIRST ACTIVITY
EF = ES + DURATION
LF = MIN(LS OF ALL SUCCESSOR ACTIVITIES); MAX EF AS LF FOR LAST ACTIVITY
LS = LF - DURATION
SLACK = LF- EF
CRITICAL PATH = LONGEST PATH WITH 0 SLACK:
CRITICAL PATH = A---D--G & B--D--G(2 CRITICAL PATHS)
DURATION OF PROJECT = 15
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