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1. 99
ACTIVITY INFORMATION
EARLY START
01/06/97
TIME DURATION
2 WORK-WEEKS
EARLY FINISH
14/06/97
ACTIVITY
CODE
PERSON
RESPONSIBLE
LATE START
15/06/97
FLOAT (SLACK) LATE FINISH
28/06/97
COST
$250,000
3

2. 55
Logic DiagramLogic Diagram
ES DUR EF
LS FLOAT LF
Task ID
WP 1.1 WP 1.5
WP 1.2
WP 1.3
WP 1.4
WP 1.6
WP 1.7
WP 1.8
WP 1.9
ES DUR EF
LS FLOAT LF
Task ID
WP 1.1 WP 1.5
WP 1.2
WP 1.3
WP 1.4
WP 1.6
WP 1.7
WP 1.8
WP 1.9
4

3. 77
 When activity (D) has multiple predecessors (B,C), the
Early Start of successor activity (D) is the latest of the
early finish dates of the predecessors
The early finish
will be the
ES+duration
Forward Pass Through NetworkForward PassForward Pass Through NetworkThrough Network
5 1 6
Task C
5 3 8
Task B
8 2 11
Task D
5

4. 88
 When activity (H) has multiple successors (I,J), the Late
Finish (LF) date of H is the earliest of the Late Start (LS)
dates of the successors.
The late start (LS)
will be the LF-
duration
Backward Pass Through NetworkBackward Pass Through Network
3 2 5
6 8
Task I
1 2 3
1 3
Task H
3 4 7
3 7
Task J
6

5. 99
The Critical Path
Early Start, Early Finish
The Critical Path
Early Start, Early Finish
ES DUR EF
LS FLOAT LF
Task ID
WP 1.1 WP 1.5
WP 1.2
WP 1.3
WP 1.4
WP 1.6
WP 1.7
WP 1.8
WP 1.9
ES DUR EF
LS FLOAT LF
Task ID
WP 1.1 WP 1.5
WP 1.2
WP 1.3
WP 1.4
WP 1.6
WP 1.7
WP 1.8
WP 1.9
5
3
3
2 1
8
3
6
5
0 5
5
5
5
22 27
7 87 8 11
8 8 16 16 22
8
7

6. 1010
ES DUR EF
LS FLOAT LF
Task ID
WP 1.1 WP 1.5
WP 1.2
WP 1.3
WP 1.4
WP 1.6
WP 1.7
WP 1.8
WP 1.9
ES DUR EF
LS FLOAT LF
Task ID
WP 1.1 WP 1.5
WP 1.2
WP 1.3
WP 1.4
WP 1.6
WP 1.7
WP 1.8
WP 1.9
5
3
3
2 1
8
3
6
5
0 5
5
5
5
22 27
7 87 8 11
8 8 16 16 22
8
The Critical Path
Late Start, Late Finish
The Critical Path
Late Start, Late Finish
2722
19
50
19
1616885
19
181816 22
22
22
8

7. 1111
Critical Path
Longest path through the network
Logical path through the network that has no float or
slack
9

8. 1212
Float and Slack
Float and Slack mean the same thing
Float comes in two forms:
 Free Float - Time that an activity can be delayed
before any of the activities that are dependent on it
are delayed.
 Total Float (or Plain old Float) - Time that an
activity can be delayed before the project completion
is delayed.
10

9. 1313
The Critical PathThe Critical Path
ES DUR EF
LS FLOAT LF
Task ID
WP 1.1 WP 1.5
WP 1.2
WP 1.3
WP 1.4
WP 1.6
WP 1.7
WP 1.8
WP 1.9
ES DUR EF
LS FLOAT LF
Task ID
WP 1.1 WP 1.5
WP 1.2
WP 1.3
WP 1.4
WP 1.6
WP 1.7
WP 1.8
WP 1.9
5
3
3
2 1
8
3
6
5
0 5
5
5
5
22 27
7 87 8 11
8 8 16 16 22
8
2722
19
50
19
1616885
19
181816 22
22
22
0
0
11
14 0
00
1111
11

10. 1414
Schedule Development
Define Critical Path
Schedule Development
Define Critical Path
3F, GK
0H, KEnd
0NoneStart
2C, EH
8DG
5EF
4BE
6BD
7AC
10StartB
5StartA
DurationPredecessorActivity
12

11. 1515
Do a forward pass to calculate the ES & EF
Do a backward pass to calculate the LS & LF
Determine the “Total Float” for each task
Draw a network diagram and determine the critical path
15 Min15 Min
0End
3K
2H
8G
5F
4E
6D
7C
10B
5A
0Start
Total FloatLFLSEFESDurationActivity
Critical Path ExerciseCritical Path ExerciseCritical Path Exercise
13

12. 1616
Critical Path Exercise AnswerCritical Path Exercise Answer
A
B
C
E
D
F
G
H
K EndStart
0 10 4 5 3 0
5 7 2
6 8
F = 0 F = 0 F = 5 F = 5 F = 0 F = 0
F = 0 F = 0
F =13 F = 13 F = 11
EF = 0
EF =5ES =0
LF =18LS =13
EF =10ES =0
LF =10LS =0
EF =12ES =5
LF =25LS =18
EF =16ES =14
LF =27LS =25
EF =14ES =10
LF =19LS =15
EF =19ES =14
LF =24LS =19
EF =27ES =24
LF =27LS =24
EF =2ES =27
LF =2LS =27
EF =24ES =16
LF =24LS =16
EF =16ES =10
LF =16LS =10
14