Q.2 (20 points) Consider the following WBS for a small project (all times are in
ID: 3251706 • Letter: Q
Question
Q.2 (20 points)
Consider the following WBS for a small project (all times are in days)
Draw a network diagram representing the project.
Calculate the expected time and the time variance for each activity?
Identify all the paths in the network and calculate the probability of finishing the path within 25 days?
What is the most critical path?
Act.
Pre. Act.
a
m
b
EXP[Time]
VER[Time]
A
-
3
6
8
B
-
2
4
6
C
A
5
8
10
D
A
2
3
5
E
B
3
4
6
F
B
4
7
9
G
A
7
9
12
H
D , E
3
5
6
I
C , H
4
5
7
J
D , E
2
3
4
K
F , G
3
5
6
L
G , I , K
4
5
8
Path
EXP[Time]
VER[Time]
P(T 25 days)
Act.
Pre. Act.
a
m
b
EXP[Time]
VER[Time]
A
-
3
6
8
B
-
2
4
6
C
A
5
8
10
D
A
2
3
5
E
B
3
4
6
F
B
4
7
9
G
A
7
9
12
H
D , E
3
5
6
I
C , H
4
5
7
J
D , E
2
3
4
K
F , G
3
5
6
L
G , I , K
4
5
8
Q.2 (20 points) Consider the following WBS for a small project (all times are in days) a) Draw a network diagram representing the project. b) Calculate the expected time and the time variance for each activity? c) Identify all the paths in the network and calculate the probability of finishing the path within 25 days? d) What is the most critical path? Act. Pre. Act ime VERI Timel 10 D,E C, H D, E F, G K G ,I,K Path EXPITimel VERITimel POT S 25 days)Explanation / Answer
Act. Pre. Act. a m b EXP[Time] VER[Time] A - 3 6 8 5.833 0.694 B - 2 4 6 4.000 0.444 C A 5 8 10 7.833 0.694 D A 2 3 5 3.167 0.250 E B 3 4 6 4.167 0.250 F B 4 7 9 6.833 0.694 G A 7 9 12 9.167 0.694 H D , E 3 5 6 4.833 0.250 I C , H 4 5 7 5.167 0.250 J D , E 2 3 4 3.000 0.111 K F , G 3 5 6 4.833 0.250 L G , I , K 4 5 8 5.333 0.444
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