Given the data table below develop the precedence network and perform the CPM calculations. Then, using the proposed crashing strategy calculate the normal, least-cost, and crash duration for the project below. Calculate the cost associated with each duration. Indirect cost (overhead) is $120 per day.
Activity |
IPA |
Duration |
Cost $ |
||
Normal |
Crash |
Normal |
Crash |
||
A |
- |
5 |
4 |
$770 |
$900 |
B |
- |
3 |
2 |
$660 |
$700 |
C |
A |
7 |
4 |
$800 |
$1,070 |
D |
A,B |
4 |
3 |
$1,000 |
$1,110 |
E |
B |
6 |
4 |
$800 |
$920 |
F |
C,D |
6 |
5 |
$560 |
$630 |
G |
D |
5 |
3 |
$700 |
$810 |
H |
F |
8 |
4 |
$1,000 |
$1,260 |
I |
E,G |
4 |
3 |
$500 |
$580 |
J |
H,I |
3 |
2 |
$400 |
$600 |
Proposed crashing strategy:
Act |
Duration |
Cost $ |
Δ Cost |
Δ Days |
Δ cost Δ days |
Days shortened |
||||||
Norm |
Crash |
Norm |
Crash |
|||||||||
A |
5 |
4 |
770 |
900 |
130 |
1 |
130 |
1 |
||||
B |
3 |
2 |
660 |
700 |
40 |
1 |
40 |
|||||
C |
7 |
4 |
800 |
1,070 |
270 |
3 |
90 |
3 |
||||
D |
4 |
3 |
1,000 |
1,110 |
110 |
1 |
110 |
|||||
E |
6 |
4 |
800 |
920 |
120 |
2 |
60 |
|||||
F |
6 |
5 |
560 |
630 |
70 |
1 |
70 |
1 |
||||
G |
5 |
3 |
700 |
810 |
110 |
2 |
55 |
|||||
H |
8 |
4 |
1,000 |
1,260 |
260 |
4 |
65 |
4 |
||||
I |
4 |
3 |
500 |
580 |
80 |
1 |
80 |
|||||
J |
3 |
2 |
400 |
600 |
200 |
1 |
200 |
1 |
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