Problem 1: Construct a project network for the following project. The project is completed when activities F and G are both complete.
|
Activity
|
A
|
B
|
C
|
D
|
E
|
F
|
G
|
|
Immediate Predecessor
|
-
|
-
|
A
|
A
|
C, B
|
C, B
|
D, E
|
Problem 2: Consider the following project network and activity times (in weeks):
|
Activity
|
A
|
B
|
C
|
D
|
E
|
F
|
G
|
H
|
|
Time
|
5
|
3
|
7
|
6
|
7
|
3
|
10
|
8
|
a. Identify the critical path.
b. How much time will be needed to complete this project?
c. Can activity D be delayed without delaying the entire project? If so, by how many weeks?
d. Can activity C be delayed without delaying the entire project? Is so, by how many weeks?
e. What is the schedule for activity E?
Problem 3: Davidson Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect and subcontractor will require a major effort to meet the 44-week (approximately 10-month) completion data requested by the owner. The Davidson project manager prepared the following project network:
Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows:
|
Activity
|
Optimistic
|
Most Probable
|
Pessimistic
|
|
A
|
4
|
8
|
12
|
|
B
|
6
|
7
|
8
|
|
C
|
6
|
12
|
18
|
|
D
|
3
|
5
|
7
|
|
E
|
6
|
9
|
18
|
|
F
|
5
|
8
|
17
|
|
G
|
10
|
15
|
20
|
|
H
|
5
|
6
|
13
|
a. Find the critical path.
b. What is the expected project completion time?
c. What is the probability the project can be completed in the 44 weeks as requested by the owner?
d. What is the probability the building project could run more than 3 months late? Use 57 weeks for this calculations.
e. What should be construction company tell the owner?