Problem 1)
|
Activity
|
Immediate
Predecessor(s)
|
Time
(Days)
|
|
A
|
-
|
3
|
|
B
|
A
|
4
|
|
C
|
A
|
6
|
|
D
|
B
|
6
|
|
E
|
B
|
4
|
|
F
|
C
|
4
|
|
G
|
D
|
6
|
|
H
|
E,F
|
8
|
Draw the activity-on-node (AON) project network associated with the above activities.
How long should it take the team to complete this project? _______________
To determine this - do a forward and backward pass
Each activity will have an ES, EF, LS, LF, and Slack value.
|
Activity
|
Time (Days)
|
ES
|
EF
|
LS
|
LF
|
Slack
|
|
A
|
3
|
|
|
|
|
|
|
B
|
4
|
|
|
|
|
|
|
C
|
6
|
|
|
|
|
|
|
D
|
6
|
|
|
|
|
|
|
E
|
4
|
|
|
|
|
|
|
F
|
4
|
|
|
|
|
|
|
G
|
6
|
|
|
|
|
|
|
H
|
8
|
|
|
|
|
|
Problem 2) Draw the AON network and answer the following questions:
a) What is the expected time for activity C?___
b) What is the variance for activity C?____
c) Based on the calculation of estimated times, what is the critical path?___
d) What is the estimated time of the critical path?___
e) What is the variance of the critical path?___
f) What is the probability of completion of the project before Week 36?___
|
Time Estimates (in weeks)
|
|
Activity
|
Immediate
Predecessor(s)
|
Opt.
|
Most
Likely
|
Pess.
|
Te
|
Var
|
Slack
|
|
A
|
-
|
4
|
8
|
10
|
|
|
|
|
B
|
A
|
2
|
8
|
24
|
|
|
|
|
C
|
A
|
8
|
12
|
16
|
|
|
|
|
D
|
A
|
4
|
6
|
10
|
|
|
|
|
E
|
B
|
1
|
2
|
3
|
|
|
|
|
F
|
E, C
|
6
|
8
|
20
|
|
|
|
|
G
|
E, C
|
2
|
3
|
4
|
|
|
|
|
H
|
F
|
2
|
2
|
2
|
|
|
|
|
I
|
F
|
6
|
6
|
6
|
|
|
|
|
J
|
I), G, H
|
4
|
6
|
12
|
|
|
|
|
K
|
I, J
|
2
|
2
|
3
|
|
|
|
Round to the tenths place.
Network Diagram: Should be legible and flow from left to right