CRITICAL PATH ANALYSIS

1
CRITICAL PATH ANALYSIS
This question comes from Review Exercise 2
Question Number 6
It shows the time in hours required to complete
various tasks in a manufacturing process
2
CRITICAL PATH ANALYSIS
The Forward Pass
4 4 8
8 5 13
Max 14
14 3 17
M(4)
R(5)
4
8
14
Y(3)
8 2 10
0 4
V(1)
4 5 9
S(2)
0r 13 1 14
J(4)
13
18
N(5)
13 2 15
W(2)
Max 18
T(3)
Z(2)
Or 6 4 10
0 4 4
0r 10 3 13
0
6
10
16
0r 16 2 18
K(4)
Q(4)
Max 13
U(2)
X(4)
Max 10
P(3)
L(3)
Or 3 3 6
0r 12 4 16
10 2 12
12
0 3
3
Max 16
Max 6
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CRITICAL PATH ANALYSIS
The Backward Pass
Min 10
Min 5
15 5 10
10 4 6
Both 14
18 3 15
M(4)
R(5)
4
8
14
15
10
5
Y(3)
Or 15 1 14
Or 14 2 12
V(1)
Or 5 4 1
S(2)
Or 10 5 5
J(4)
13
18
18
14
N(5)
16 2 14
14 3 11
W(2)
T(3)
Z(2)
Or 6 4 2
0
6
6
0
10
16
18 2 16
16
10
K(4)
Q(4)
Or 12 2 10
Min 0
10 4 6
U(2)
X(4)
P(3)
L(3)
16 4 12
12
12
Min 10
6 3 3
3 3 0
3
3
4
CRITICAL PATH ANALYSIS
Hence critical path is
LPQUXZ
M(4)
R(5)
4
8
14
15
10
5
Y(3)
V(1)
S(2)
J(4)
13
18
18
14
N(5)
W(2)
T(3)
Z(2)
0
6
6
0
10
16
16
10
3 - 0 - 3 0 So L is critical
K(4)
Q(4)
6 3 - 3 0 So P is critical
10 6 - 4 0 So Q is critical
U(2)
X(4)
P(3)
L(3)
16 12 - 4 0 So X is critical
12 10 - 2 0 So U is critical
12
12
18 16 2 0 So Z is critical
3
3
Critical activities
Z
X
U
Q
P
L