Critical-Path Analysis For Network Scheduling
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12CRITICAL-PATH ANALYSIS FOR NETWORK SCHEDULING
From studying this section, you will be able to:
Perform CPM and PDM analyses for AOA and AON networks;
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Calculate the early / late times that an activity can start / finish;
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Determine the total project duration, activity floats, and the path of critical activities;
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Represent the schedule using Bar charts (Gantt charts);
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Use Microsoft Project Software to schedule projects; and
Experiment with a spreadsheet model for network analysis.
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Scheduling = Planning + Time.
The schedule is very important for the contractor to know when and how much labor is needed; vendors to know
when to deliver materials; and subcontractors to know when they can do their work.
Critical-Path Method (CPM) for AOA Networks
The CPM is a systematic scheduling method for AOA network. The CPM involves 4 main steps:
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A forward pass to determine activities early-start times;
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A backward pass to determine activities late-finish times;
Float calculations; and
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Identifying critical activities.
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Forward Pass & Backward Pass
The forward pass determines the early-start times of activities, while the backward pass determines the
late-finish (LF) times.
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B (3)
d1
A (3)
C (4)
E (5)
1
3
9
11
D (6)
d2
7
Float Calculations
Results of Forward &
Calculations of Other
Total Float & Criticality
Backward Pass
Activity Times
Calculations
Critical
Activity
Duration
(ES)
(LF)
LS = LF - d EF = ES + d TF = LF- ES - d
(Y/N)
(d)
A
3
3
B
C
4
D
6
5
E
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