Operations and Supply Chain Management The Core

154 OPERATIONS AND SUPPLY CHAIN MANAGEMENT
a. Draw the critical path diagram.
b. Show the early start, early finish, late start, and late finish times.
c. Show the critical path.
d. What would happen if activity F was revised to take four days instead of two?
Solution
The answers to a, b, and c are shown in the following diagram.
0 1
1 5
B(4)
1 5
1 4
5 11
E(6)
5 11
11 18
G(7)
11 18
18 22
A(1)
0 1
C(3)
6 9
1 8
D(7)
2 9
8 10
F(2)
9 11
8 17
H(9)
9 18
Critical path:
A–B–E–G–I
I(4)
18 22
PATH
A-B-E-G-I
A-C-F-G-I
A-D-F-G-I
A-D-H-I
LENGTH (DAYS)
22 (critical path)
17
21
21
d. New critical path: A–D–F–G–I. Time of completion is 23 days.
LO5–3 SOLVED PROBLEM 3
A project has been defined to contain the following activities, along with their time estimates for
completion:
TIME ESTIMATES (WEEKS)
ACTIVITY a m b
IMMEDIATE PREDECESSOR
A
B
C
D
E
F
G
1
2
3
6
3
6
1
4
6
4
12
6
8
5
7
7
6
14
12
16
6
—
A
D
A
D
B, C
E, F
a. Calculate the expected time and the variance for each activity.
b. Draw the critical path diagram.
c. Show the early start, early finish times, and late start, late finish times.