This presentation provides a good description of Project Network Diagrams. It explains: Precedence Diagramming Method, Logical Relationships, Lead & Lag, Float and Critical Path Method. It will help you in preparing for PMP Exam.

1. PROJECT NETWORK
DIAGRAM
CRITICAL PATH METHOD
Designed and Developed by Praveen Malik, PMP 1

2. Project Schedule Network Diagram
Designed and Developed by Praveen Malik, PMP
2
 Project Schedule Network Diagrams are simply called
Network Diagrams.
 Network Diagrams are used to graphically represent
logical relationships between project activities (or tasks).
 Network Diagrams can be drawn using Precedence
Diagramming Method (PDM).

3. Precedence Diagramming Method(PDM)
Designed and Developed by Praveen Malik, PMP
3
 PDM uses nodes (boxes) and arrows to represent logical
relationship between scheduled activities
 Activities are represented as nodes
 Milestones are represented as small circles
 Dependencies are represented as Arrows
 Activities/milestones are separated by Arrows
 Arrow head depicts successor activity/milestone
 Arrow tail depicts predecessor activity/milestone
 Multiple arrows (dependencies) are possible between activities

4. PDM Example
Designed and Developed by Praveen Malik, PMP
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A B
Y
Z
X
• B is the Successor
• A is the Predecessor
• Start of B depends on Finish of A
• Z is the Successor
• X & Y are the Predecessors
• Start of Z depends on Finish of
X&Y

5. Precedence Diagramming Method(PDM)
Designed and Developed by Praveen Malik, PMP
5
 PDM is also called Activity on Node (AON) method as activities are
represented as nodes (boxes)
 PDM includes 4 types of logical relationships
 Finish to Start (FS)
 Finish to Finish (FF)
 Start to Start (SS)
 Start to Finish (SF)
 Refer to https://www.pmbypm.com/project-network-diagram/ for more details
 PDM can be used to represent
 Lead or acceleration of the successor activity
 Lag or mandatory delay of the successor activity
 Refer to https://www.pmbypm.com/project-schedule-leads-and-lags/ for more
details

6. Attributes Of A Project Activity/Task
Designed and Developed by Praveen Malik, PMP
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 Activity Name
 Duration (D) – Number of time units required to finish an activity
 Early Dates
 Early Start (ES) – An activity can start as early as this date
 Early Finish (EF) – An activity can finish as early as this date
 Details in next few slides
 Late Dates
 Late Start (LS) – An activity can start as late as this date without delaying the project
 Late Finish (LF) – An activity can start as late as this date without delaying the project
 Details in next few slides
 Float/Slack
 defined on slide #24
 Refer to https://www.pmbypm.com/total-float-vs-free-float/ for more details

7. Sample Project
Designed and Developed by Praveen Malik, PMP
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Activity Name Duration(Days) Predecessor
A 3 Project Start
B 4 A
C 2 B
D 4 B
E 5 Project Start
F 5 E
G 2 E
H 5 F, G

8. Network Diagram for Sample Project
Designed and Developed by Praveen Malik, PMP
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9. Forward Pass
Designed and Developed by Praveen Malik, PMP
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• Project is assumed to
start on Day 0
• Activity A would start
along with Project
Start – ES of Activity A
would be 0
• Activity A would finish
after 3 days are
elapsed – EF of A
would be 3
• EF = ES + D

10. Forward Pass
Designed and Developed by Praveen Malik, PMP
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• Activity B can start as
soon as Activity A
finishes
• ES of Activity B would
be EF of Activity A –
ES of successor
activity equals EF of
predecessor
• ESS = EFP

11. Forward Pass
Designed and Developed by Praveen Malik, PMP
11
• Both Activities C & D
can start as soon as
Activity B finishes
• EF = ES + D
• ESS = EFP

12. Forward Pass
Designed and Developed by Praveen Malik, PMP
12
• EF = ES + D
• ESS = EFP

13. Forward Pass
Designed and Developed by Praveen Malik, PMP
13
• Activity H can start only
after both Activities F& G
finish
• Activity G finishes last so
Activity H would start on
Day 10
• ESS = Max(EFP)

14. Project Duration
Designed and Developed by Praveen Malik, PMP
14
• Project can finish only
after all three Activities
C, D & H finish
• Activity H finishes last
so project duration
would be 15 days
• Project Duration =
Max(EF)

15. Backward Pass
Designed and Developed by Praveen Malik, PMP
15
• Project is assumed to
finish on Day 15
• Activities C, D &H can
finish as late as Day
15 – LF of these
Activities A would be
15

16. Backward Pass
Designed and Developed by Praveen Malik, PMP
16
• Activity C can start as
late as Day 13 since it
has a Duration of 2
days and it is
supposed to be
finished by Day 15
• LS = LF - D

17. Backward Pass
Designed and Developed by Praveen Malik, PMP
17
• Activity B has to finish
before Activities C & D
can start – LF of
Activity B would be
Day 11
• LSP = Min(LFS)

18. Backward Pass
Designed and Developed by Praveen Malik, PMP
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• LS = LF – D
• LSP = Min(LFS)

19. Backward Pass
Designed and Developed by Praveen Malik, PMP
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• LS = LF – D
• LSP = Min(LFS)

20. What is Float or Slack?
Designed and Developed by Praveen Malik, PMP
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 Total Float is defined as the amount of time that a schedule
activity may be delayed from its Early Start date without
delaying the project finish date
 Can be calculated from the network diagram after completing the
backward pass
 Indicates the amount of flexibility the project manager has to adjust
the timing of a particular activity
 Calculated by subtracting Early Finish from Late Finish (or early start
from late start)
 Float = LF – EF OR Float = LS - ES

21. Slack/Float
Designed and Developed by Praveen Malik, PMP
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22. Critical Path
Designed and Developed by Praveen Malik, PMP
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 Critical Path is the longest path to complete a project
 Any delay on Critical Path can lead to project delay
 All the activities on Critical Path are called Critical Activities
 Critical Activities have zero Float
 Refer to https://www.pmbypm.com/critical-path-method-cpm-
project-management/ and https://www.pmbypm.com/critical-
path-analysis-example-0-method-1-method/ for more details

23. Critical Path
Designed and Developed by Praveen Malik, PMP
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