Civil Engineering Reference
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(23, 31) and (32, 33), respectively. This makes A-C-G-I-K the critical path,
even though its “length” is only 23 days, without taking the constraint in
consideration.
Scenario 3 : Assume the crew for activity I is unavailable until day 22 (a delay
of 3 days). This delays the completion of that activity until day 30 and the
completion of the project until day 32, making A-B-E-I-K the critical path.
From the preceding discussion, we conclude that the critical path in a network
is the longest continuous path from start to finish, taking into consideration all
time-consuming and time-impacting factors. This definition will take another twist
in Chapter 11 with the introduction of program evaluation and review technique
(PERT), which considers a range of durations of each activity. PERT considers not
only the length of the path but also the uncertainty (variance/standard deviation),
which measures the confidence in finishing the project by a certain date.
Tip Box 4.14
Make sure that you show “submittal review cycle,” taking into consideration the
possibility of rejection. Also show procurement activities.
CHAPTER 4 EXERCISES
1. For the following schedule, draw the node network, perform the CPM calcula-
tions, mark the critical path, and complete the table.
Activity
Duration
IPA
ES
EF
LS
LF
TF
FF
A
3
-
B
7
A
C
4
A
D
5
B
E
8
B, C
2. For the following schedule, draw the node network, perform the CPM calcula-
tions, mark the critical path, and complete the table.
Activity
Duration
IPA
ES
LS
EF
LF
TF
FF
A
7
-
B
10
-
C
15
A
D
8
A, B
E
4
C, D
 
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