SlideShare a Scribd company logo
Planning –
Contd.
M BILAL ZAHID
Network Diagrams
A network is a logical and chronological graphic representation of the activities
(and events) composing a project.
Network diagrams are the preferred technique for showing activity sequencing.
2
Network Diagrams
3
Three types of information are needed to describe a project.
• Activity information: Break down the project into its individual activities (at
the desired level of detail).
• Precedence relationships: Identify the immediate predecessor(s) for each
activity.
• Time information: Estimate the duration of each activity
The network diagram should convey all this information.
Network Diagrams
Two methods: arrow networks and node networks.
4
One type is the activity-on-arc (AOA) project network, where each activity is
represented by an arc. A node is used to separate an activity (an outgoing arc)
from each of its immediate predecessors (an incoming arc). The sequencing of
the arcs thereby shows the precedence relationships between the activities.
The second type is the activity-on-node (AON) project network, where each
activity is represented by a node. Then the arcs are used just to show the
precedence relationships that exist between the activities. In particular, the
node for each activity with immediate predecessors has an arc coming in from
each of these predecessors.
Network Diagrams
AON has several advantages over AOA:
◦ AON project networks are considerably easier to construct than AOA project
networks.
◦ AON project networks are easier to understand than AOA project networks
for inexperienced users, including many managers.
◦ AON project networks are easier to revise than AOA project networks when
there are changes in the project.
5
Network Diagrams
In addition:
◦ There is no need for the use of dummy activities in AON representation.
◦ In AOA, an activity can only start when all it predecessors have finished.
◦ AON allows for overlap/lag representation.
For these reasons, AON are more popular these days.
6
Arrow
Diagramming
Method
(ADM)
7
Arrow Diagramming
Method (ADM)
Also called activity-on-arrow (AOA) network
diagram or (I-J) method (because activities are
defined by the from node, I, and the to node, J)
Activities are represented by arrows.
Nodes or circles are the starting and ending points
of activities.
Can only show finish-to-start dependencies.
8
Arrow Diagramming Method (ADM)
9
i j
(a) Basic Activity
Activity Name
Node (Event) i
j > i
Each activity should have a unique i – j value
Node (Event) j
Arrow Diagramming Method (ADM)
10
2
A
(b) Independent Activities
4 10
B
12
3
A
6
B
9
(c) Dependent Activities
Arrow Diagramming Method (ADM)
11
(f) A Cross
20
18
C
16 D
14
A
12
B
Activities C and D both depend upon the completion of Activities A and B
Arrow Diagramming Method (ADM)
Each activity must have a unique i – j numbers, where i (the number at the tail of
the arrow) is smaller than j (the number at the head of the arrow).
It is recommended to have a gap between numbers (i.e., 5, 10, 15, etc.). This will
allow for accommodation of missed activities.
Avoid back arrows.
12
Arrow Diagramming Method (ADM)
Draw the arrow network for the following project.
13
*IPA
Activity
-
A
A
B
A
C
B
D
C,D
E
*immediately preceding activity
Arrow Diagramming Method (ADM)
Draw the arrow network for the following project.
14
IPA
Activity
-
A
A
B
A
C
B
D
C,D
E
10
30
40
20 50
C
D
A
B
E
Arrow Diagramming Method (ADM)
The dummy activity is an activity with zero duration, consumes no resources,
drawn as dashed lines, and used to adjust the network diagram.
◦ When more than one arrow leave the same node and arrive at another node, dummy
activities must be used.
◦ When one activity depends upon two preceding activities and another activity depends only
upon one of these two preceding activities, dummy activities must be used.
15
Dummy Activities (fictitious)
Arrow Diagramming Method (ADM)
Used to maintain unique numbering of activities.
Used to complete logic, duration of “0”
The use of dummy to maintain unique numbering of activities.
16
Dummy Activities (fictitious)
Arrow Diagramming Method (ADM)
17
4 11
4 11
10
A
B
A
B
Divide node to correct
Dummy
(a) Incorrect Representation
(b) Correct Representation
Dummy Activities (fictitious)
Arrow Diagramming Method (ADM)
Draw the arrow network for the following project.
18
Dummy Activities (fictitious)
*IPA
Activity
-
A
A
B
A
C
B,C
D
*immediately preceding activity
Arrow Diagramming Method (ADM)
Draw the arrow network for the following project.
19
Dummy Activities (fictitious)
IPA
Activity
-
A
A
B
A
C
B,C
D
10 30
20 40
C
D
A
B
10
30
40
20 50
C
D
A
B
Dummy
Improper solution
Proper solution
Arrow Diagramming Method (ADM)
Draw the arrow network for the following project.
20
Dummy Activities (fictitious)
*IPA
Activity
-
A
A
B
A
C
B
D
B,C
E
C
F
*immediately preceding activity
Arrow Diagramming Method (ADM)
Draw the arrow network for the following project.
21
Dummy Activities (fictitious)
IPA
Activity
-
A
A
B
A
C
B
D
B,C
E
C
F
10
30
40
20 60
C
E
A
B
Dummy 1
50
Dummy 2
D
F
Arrow Diagramming Method (ADM)
Removal of Redundant Activities
22
A
A
A
A
B
B
B
B
C C
Original Diagram Diagram after removal of
redundant dummies
(a)
(b)
Arrow Diagramming Method (ADM)
Removal of Redundant Activities
23
Original Diagram Diagram after removal of
redundant dummies
A
A
A
A
C
C
B
C
B B
(c)
(d)
B E
C
E
E E
Arrow Diagramming Method (ADM)
Removal of Redundant Activities
24
Immediately Preceding
Activity (IPA)
Depends Upon
Activity
-----
A
B
-----
A
A, B
A
B
C
B C
A
Redundant
Relationship
Arrow Diagramming Method (ADM)
Removal of Redundant Activities
25
Depends Upon
Description
Activity
-----
-----
A
A, B, C
A, B, C
B, C, J, M
B, C, D, E, K
D, E, F, G, L
-----
-----
-----
-----
Site Clearing
Removal of Trees
Excavation for Foundations
Site Grading
Excavation for Utility Trenches
Placing formwork & Reinforcement
Installing sewer lines
Pouring concrete
Obtain formwork & reinforcing
steel
Obtain sewer lines
Obtain concrete
Steelworker availability
A
B
C
D
E
F
G
H
J
K
L
M
Arrow Diagramming Method (ADM)
Removal of Redundant Activities
26
H
40
G
45
C
F
D
35
15
10
5
B
A
20
M
25
J
30
E
L
K
NODE
NETWORKS
METHOD
(AON)
27
Node Networks Method (AON)
This method is also called the precedence diagram method (PDM).
The nodes represent activities and the arrows represent logical relationships among the
activities.
AON representation allows the overlap or lag representation on the relationship arrows
connecting activities.
28
Node Networks Method (AON)
29
a) Independent Activities
10
A
20
B
Activity number
Activity name
b) Dependent Activities
20
B
10
A
Link
Link
B depends on A
Node Networks Method (AON)
30
30
C
10
A
20
B
40
D
c) A Merge Relationship
C depends on A & B
D depends on C
d) A Burst Relationship
20
B
30
C
40
D
10
A
B depends on A
C depends on B
D depends on B
Node Networks Method (AON)
31
e) Start & Finish Dummy Activities
A
C
B
E
D
A
Start
Dummy
Finish
Dummy
C
B
E
D
Node Networks Method (AON)
Draw the node network for the following project.
32
*IPA
Activity
-
A
A
B
A
C
B
D
C,D
E
*immediately preceding activity
Node Networks Method (AON)
Draw the node network for the following project.
33
IPA
Activity
-
A
A
B
A
C
B
D
C,D
E
A E
C
D
B
Node Networks Method (AON)
Draw the node network for the following project.
34
*IPA
Activity
-
A
A
B
A
C
B,C
D
*immediately preceding activity
Node Networks Method (AON)
Draw the node network for the following project.
35
IPA
Activity
-
A
A
B
A
C
B,C
D
A
C
D
B
Node Networks Method (AON)
Draw the node network for the following project.
36
*IPA
Activity
-
A
A
B
A
C
B
D
B,C
E
C
F
*immediately preceding activity
Node Networks Method (AON)
Draw the node network for the following project.
37
IPA
Activity
-
A
A
B
A
C
B
D
B,C
E
C
F
A PF
C
D
B
E
F
Node Networks Method (AON)
38
Incorrect Correct
Recommendations for Proper Node Diagram Drawing
Node Networks Method (AON)
39
A
B A B
A
B
A
B
Improper Proper
Recommendations for Proper Node Diagram Drawing
Node Networks Method (AON)
40
Improper Proper
Recommendations for Proper Node Diagram Drawing
Node Networks Method (AON)
41
Improper Proper
Recommendations for Proper Node Diagram Drawing
Node Networks Method (AON)
42
Improper Proper
A
B
C
A
B
C
PS
Do not start a network with more than one node
Recommendations for Proper Node Diagram Drawing
Node Networks Method (AON)
43
Improper Proper
Do not end a network with more than one node
A
B
C
A
B
C
PF
Recommendations for Proper Node Diagram Drawing
Lags and Leads
44
Lags and Leads
In some situations, an activity cannot start until a certain time after the end of its Predecessor.
Lag is defined as a minimum waiting period between the finish (or start) of an activity and the
start (or finish) of its successor.
Arrow networks cannot accommodate lags. The only solution in such networks is to treat it as a
real activity with a real duration, no resources, and a $0 budget.
45
Lags and Leads
The term lead simply means a negative lag. It is seldom used in construction.
In simple language: A positive time gap (lag) means ‘‘after’’ and a negative time gap (lead)
means ‘‘before.’’
46
Lags and Leads
Lag describes delay. It means addition of time so it is denoted by “+” sign in the network
diagram.
Lead always describes advancement. This means reduction in time taken so it is denoted by
“-” sign in the network diagram.
47
Lags and Leads
48
Place Concrete
3
Strip Forms
2
3
A lag in a node network
Place Concrete Strip Forms
Cure Concrete
A lag in an arrow network
Examples
49
AOA and AON Networks
Construct an AOA and AON networks for the activities listed in Table below
50
IPA
Activity
-
A
-
B
A, B
C
C
D
C
E
D
F
D, E
G
AOA and AON Networks
For the network below, prepare a table showing a list of immediate predecessors and immediate
successors for each of the activities. Use the i - j node notation for activities.
51
5
7
4
3
1
2
6
Thanks
52

More Related Content

Similar to Lecture 3 - Project Planning - Contd.pptx

Network & Gantt chart for computerstudent.ppt
Network & Gantt chart for computerstudent.pptNetwork & Gantt chart for computerstudent.ppt
Network & Gantt chart for computerstudent.ppt
JahankeerMzm
 
ch08 (1).pptttttttttttttttþtttttttttttttt
ch08 (1).pptttttttttttttttþttttttttttttttch08 (1).pptttttttttttttttþtttttttttttttt
ch08 (1).pptttttttttttttttþtttttttttttttt
AbdisalamMohamud5
 
Operations and Supply Chain ManagementMGMT 3306Lecture 02I.docx
Operations and Supply Chain ManagementMGMT 3306Lecture 02I.docxOperations and Supply Chain ManagementMGMT 3306Lecture 02I.docx
Operations and Supply Chain ManagementMGMT 3306Lecture 02I.docx
hopeaustin33688
 

Similar to Lecture 3 - Project Planning - Contd.pptx (20)

module-1 CME NETWORK ANALYSIS.pptx
module-1 CME NETWORK ANALYSIS.pptxmodule-1 CME NETWORK ANALYSIS.pptx
module-1 CME NETWORK ANALYSIS.pptx
 
Project Network project approaches and rules
Project Network  project approaches and rules Project Network  project approaches and rules
Project Network project approaches and rules
 
Chapter 10_Project Scheduling Using Critical Path Method (CPM).pdf
Chapter 10_Project Scheduling Using Critical Path Method (CPM).pdfChapter 10_Project Scheduling Using Critical Path Method (CPM).pdf
Chapter 10_Project Scheduling Using Critical Path Method (CPM).pdf
 
Network & Gantt chart for computerstudent.ppt
Network & Gantt chart for computerstudent.pptNetwork & Gantt chart for computerstudent.ppt
Network & Gantt chart for computerstudent.ppt
 
Fundamental of networking in PROJECT INFRASTRUCTURE
Fundamental of networking in PROJECT INFRASTRUCTURE Fundamental of networking in PROJECT INFRASTRUCTURE
Fundamental of networking in PROJECT INFRASTRUCTURE
 
Lec 09 network scheduling_techniques
Lec 09 network scheduling_techniquesLec 09 network scheduling_techniques
Lec 09 network scheduling_techniques
 
Operation research's CPM techniques
Operation research's CPM techniques Operation research's CPM techniques
Operation research's CPM techniques
 
rules of formulating network planning model .
rules of formulating network planning model .rules of formulating network planning model .
rules of formulating network planning model .
 
Summer training on matlab
Summer training on matlabSummer training on matlab
Summer training on matlab
 
Basic SysML Activity Diagram Semantics
Basic SysML Activity Diagram SemanticsBasic SysML Activity Diagram Semantics
Basic SysML Activity Diagram Semantics
 
Data flow model -Lecture-4
Data flow model -Lecture-4Data flow model -Lecture-4
Data flow model -Lecture-4
 
Network analysis
Network analysisNetwork analysis
Network analysis
 
Another simple but faster method for 2 d line clipping
Another simple but faster method for 2 d line clippingAnother simple but faster method for 2 d line clipping
Another simple but faster method for 2 d line clipping
 
Lect-6&7: Network Diagrams, PERT and CPM
Lect-6&7: Network Diagrams, PERT and CPMLect-6&7: Network Diagrams, PERT and CPM
Lect-6&7: Network Diagrams, PERT and CPM
 
ch08 (1).pptttttttttttttttþtttttttttttttt
ch08 (1).pptttttttttttttttþttttttttttttttch08 (1).pptttttttttttttttþtttttttttttttt
ch08 (1).pptttttttttttttttþtttttttttttttt
 
Another Simple but Faster Method for 2D Line Clipping
Another Simple but Faster Method for 2D Line ClippingAnother Simple but Faster Method for 2D Line Clipping
Another Simple but Faster Method for 2D Line Clipping
 
Another Simple but Faster Method for 2D Line Clipping
Another Simple but Faster Method for 2D Line ClippingAnother Simple but Faster Method for 2D Line Clipping
Another Simple but Faster Method for 2D Line Clipping
 
COMPARISON OF GPU AND FPGA HARDWARE ACCELERATION OF LANE DETECTION ALGORITHM
COMPARISON OF GPU AND FPGA HARDWARE ACCELERATION OF LANE DETECTION ALGORITHMCOMPARISON OF GPU AND FPGA HARDWARE ACCELERATION OF LANE DETECTION ALGORITHM
COMPARISON OF GPU AND FPGA HARDWARE ACCELERATION OF LANE DETECTION ALGORITHM
 
Comparison of GPU and FPGA Hardware Acceleration of Lane Detection Algorithm
Comparison of GPU and FPGA Hardware Acceleration of Lane Detection AlgorithmComparison of GPU and FPGA Hardware Acceleration of Lane Detection Algorithm
Comparison of GPU and FPGA Hardware Acceleration of Lane Detection Algorithm
 
Operations and Supply Chain ManagementMGMT 3306Lecture 02I.docx
Operations and Supply Chain ManagementMGMT 3306Lecture 02I.docxOperations and Supply Chain ManagementMGMT 3306Lecture 02I.docx
Operations and Supply Chain ManagementMGMT 3306Lecture 02I.docx
 

Recently uploaded

Paint shop management system project report.pdf
Paint shop management system project report.pdfPaint shop management system project report.pdf
Paint shop management system project report.pdf
Kamal Acharya
 
ONLINE VEHICLE RENTAL SYSTEM PROJECT REPORT.pdf
ONLINE VEHICLE RENTAL SYSTEM PROJECT REPORT.pdfONLINE VEHICLE RENTAL SYSTEM PROJECT REPORT.pdf
ONLINE VEHICLE RENTAL SYSTEM PROJECT REPORT.pdf
Kamal Acharya
 
DR PROF ING GURUDUTT SAHNI WIKIPEDIA.pdf
DR PROF ING GURUDUTT SAHNI WIKIPEDIA.pdfDR PROF ING GURUDUTT SAHNI WIKIPEDIA.pdf
DR PROF ING GURUDUTT SAHNI WIKIPEDIA.pdf
DrGurudutt
 
School management system project report.pdf
School management system project report.pdfSchool management system project report.pdf
School management system project report.pdf
Kamal Acharya
 

Recently uploaded (20)

Paint shop management system project report.pdf
Paint shop management system project report.pdfPaint shop management system project report.pdf
Paint shop management system project report.pdf
 
Online resume builder management system project report.pdf
Online resume builder management system project report.pdfOnline resume builder management system project report.pdf
Online resume builder management system project report.pdf
 
ONLINE VEHICLE RENTAL SYSTEM PROJECT REPORT.pdf
ONLINE VEHICLE RENTAL SYSTEM PROJECT REPORT.pdfONLINE VEHICLE RENTAL SYSTEM PROJECT REPORT.pdf
ONLINE VEHICLE RENTAL SYSTEM PROJECT REPORT.pdf
 
retail automation billing system ppt.pptx
retail automation billing system ppt.pptxretail automation billing system ppt.pptx
retail automation billing system ppt.pptx
 
Online book store management system project.pdf
Online book store management system project.pdfOnline book store management system project.pdf
Online book store management system project.pdf
 
"United Nations Park" Site Visit Report.
"United Nations Park" Site  Visit Report."United Nations Park" Site  Visit Report.
"United Nations Park" Site Visit Report.
 
Pharmacy management system project report..pdf
Pharmacy management system project report..pdfPharmacy management system project report..pdf
Pharmacy management system project report..pdf
 
DR PROF ING GURUDUTT SAHNI WIKIPEDIA.pdf
DR PROF ING GURUDUTT SAHNI WIKIPEDIA.pdfDR PROF ING GURUDUTT SAHNI WIKIPEDIA.pdf
DR PROF ING GURUDUTT SAHNI WIKIPEDIA.pdf
 
Dairy management system project report..pdf
Dairy management system project report..pdfDairy management system project report..pdf
Dairy management system project report..pdf
 
NO1 Pandit Black Magic Removal in Uk kala jadu Specialist kala jadu for Love ...
NO1 Pandit Black Magic Removal in Uk kala jadu Specialist kala jadu for Love ...NO1 Pandit Black Magic Removal in Uk kala jadu Specialist kala jadu for Love ...
NO1 Pandit Black Magic Removal in Uk kala jadu Specialist kala jadu for Love ...
 
Electrostatic field in a coaxial transmission line
Electrostatic field in a coaxial transmission lineElectrostatic field in a coaxial transmission line
Electrostatic field in a coaxial transmission line
 
Furniture showroom management system project.pdf
Furniture showroom management system project.pdfFurniture showroom management system project.pdf
Furniture showroom management system project.pdf
 
İTÜ CAD and Reverse Engineering Workshop
İTÜ CAD and Reverse Engineering WorkshopİTÜ CAD and Reverse Engineering Workshop
İTÜ CAD and Reverse Engineering Workshop
 
School management system project report.pdf
School management system project report.pdfSchool management system project report.pdf
School management system project report.pdf
 
Attraction and Repulsion type Moving Iron Instruments.pptx
Attraction and Repulsion type Moving Iron Instruments.pptxAttraction and Repulsion type Moving Iron Instruments.pptx
Attraction and Repulsion type Moving Iron Instruments.pptx
 
internship exam ppt.pptx on embedded system and IOT
internship exam ppt.pptx on embedded system and IOTinternship exam ppt.pptx on embedded system and IOT
internship exam ppt.pptx on embedded system and IOT
 
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdfA CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
A CASE STUDY ON ONLINE TICKET BOOKING SYSTEM PROJECT.pdf
 
Construction method of steel structure space frame .pptx
Construction method of steel structure space frame .pptxConstruction method of steel structure space frame .pptx
Construction method of steel structure space frame .pptx
 
Lect 2 - Design of slender column-2.pptx
Lect 2 - Design of slender column-2.pptxLect 2 - Design of slender column-2.pptx
Lect 2 - Design of slender column-2.pptx
 
Peek implant persentation - Copy (1).pdf
Peek implant persentation - Copy (1).pdfPeek implant persentation - Copy (1).pdf
Peek implant persentation - Copy (1).pdf
 

Lecture 3 - Project Planning - Contd.pptx

  • 2. Network Diagrams A network is a logical and chronological graphic representation of the activities (and events) composing a project. Network diagrams are the preferred technique for showing activity sequencing. 2
  • 3. Network Diagrams 3 Three types of information are needed to describe a project. • Activity information: Break down the project into its individual activities (at the desired level of detail). • Precedence relationships: Identify the immediate predecessor(s) for each activity. • Time information: Estimate the duration of each activity The network diagram should convey all this information.
  • 4. Network Diagrams Two methods: arrow networks and node networks. 4 One type is the activity-on-arc (AOA) project network, where each activity is represented by an arc. A node is used to separate an activity (an outgoing arc) from each of its immediate predecessors (an incoming arc). The sequencing of the arcs thereby shows the precedence relationships between the activities. The second type is the activity-on-node (AON) project network, where each activity is represented by a node. Then the arcs are used just to show the precedence relationships that exist between the activities. In particular, the node for each activity with immediate predecessors has an arc coming in from each of these predecessors.
  • 5. Network Diagrams AON has several advantages over AOA: ◦ AON project networks are considerably easier to construct than AOA project networks. ◦ AON project networks are easier to understand than AOA project networks for inexperienced users, including many managers. ◦ AON project networks are easier to revise than AOA project networks when there are changes in the project. 5
  • 6. Network Diagrams In addition: ◦ There is no need for the use of dummy activities in AON representation. ◦ In AOA, an activity can only start when all it predecessors have finished. ◦ AON allows for overlap/lag representation. For these reasons, AON are more popular these days. 6
  • 8. Arrow Diagramming Method (ADM) Also called activity-on-arrow (AOA) network diagram or (I-J) method (because activities are defined by the from node, I, and the to node, J) Activities are represented by arrows. Nodes or circles are the starting and ending points of activities. Can only show finish-to-start dependencies. 8
  • 9. Arrow Diagramming Method (ADM) 9 i j (a) Basic Activity Activity Name Node (Event) i j > i Each activity should have a unique i – j value Node (Event) j
  • 10. Arrow Diagramming Method (ADM) 10 2 A (b) Independent Activities 4 10 B 12 3 A 6 B 9 (c) Dependent Activities
  • 11. Arrow Diagramming Method (ADM) 11 (f) A Cross 20 18 C 16 D 14 A 12 B Activities C and D both depend upon the completion of Activities A and B
  • 12. Arrow Diagramming Method (ADM) Each activity must have a unique i – j numbers, where i (the number at the tail of the arrow) is smaller than j (the number at the head of the arrow). It is recommended to have a gap between numbers (i.e., 5, 10, 15, etc.). This will allow for accommodation of missed activities. Avoid back arrows. 12
  • 13. Arrow Diagramming Method (ADM) Draw the arrow network for the following project. 13 *IPA Activity - A A B A C B D C,D E *immediately preceding activity
  • 14. Arrow Diagramming Method (ADM) Draw the arrow network for the following project. 14 IPA Activity - A A B A C B D C,D E 10 30 40 20 50 C D A B E
  • 15. Arrow Diagramming Method (ADM) The dummy activity is an activity with zero duration, consumes no resources, drawn as dashed lines, and used to adjust the network diagram. ◦ When more than one arrow leave the same node and arrive at another node, dummy activities must be used. ◦ When one activity depends upon two preceding activities and another activity depends only upon one of these two preceding activities, dummy activities must be used. 15 Dummy Activities (fictitious)
  • 16. Arrow Diagramming Method (ADM) Used to maintain unique numbering of activities. Used to complete logic, duration of “0” The use of dummy to maintain unique numbering of activities. 16 Dummy Activities (fictitious)
  • 17. Arrow Diagramming Method (ADM) 17 4 11 4 11 10 A B A B Divide node to correct Dummy (a) Incorrect Representation (b) Correct Representation Dummy Activities (fictitious)
  • 18. Arrow Diagramming Method (ADM) Draw the arrow network for the following project. 18 Dummy Activities (fictitious) *IPA Activity - A A B A C B,C D *immediately preceding activity
  • 19. Arrow Diagramming Method (ADM) Draw the arrow network for the following project. 19 Dummy Activities (fictitious) IPA Activity - A A B A C B,C D 10 30 20 40 C D A B 10 30 40 20 50 C D A B Dummy Improper solution Proper solution
  • 20. Arrow Diagramming Method (ADM) Draw the arrow network for the following project. 20 Dummy Activities (fictitious) *IPA Activity - A A B A C B D B,C E C F *immediately preceding activity
  • 21. Arrow Diagramming Method (ADM) Draw the arrow network for the following project. 21 Dummy Activities (fictitious) IPA Activity - A A B A C B D B,C E C F 10 30 40 20 60 C E A B Dummy 1 50 Dummy 2 D F
  • 22. Arrow Diagramming Method (ADM) Removal of Redundant Activities 22 A A A A B B B B C C Original Diagram Diagram after removal of redundant dummies (a) (b)
  • 23. Arrow Diagramming Method (ADM) Removal of Redundant Activities 23 Original Diagram Diagram after removal of redundant dummies A A A A C C B C B B (c) (d) B E C E E E
  • 24. Arrow Diagramming Method (ADM) Removal of Redundant Activities 24 Immediately Preceding Activity (IPA) Depends Upon Activity ----- A B ----- A A, B A B C B C A Redundant Relationship
  • 25. Arrow Diagramming Method (ADM) Removal of Redundant Activities 25 Depends Upon Description Activity ----- ----- A A, B, C A, B, C B, C, J, M B, C, D, E, K D, E, F, G, L ----- ----- ----- ----- Site Clearing Removal of Trees Excavation for Foundations Site Grading Excavation for Utility Trenches Placing formwork & Reinforcement Installing sewer lines Pouring concrete Obtain formwork & reinforcing steel Obtain sewer lines Obtain concrete Steelworker availability A B C D E F G H J K L M
  • 26. Arrow Diagramming Method (ADM) Removal of Redundant Activities 26 H 40 G 45 C F D 35 15 10 5 B A 20 M 25 J 30 E L K
  • 28. Node Networks Method (AON) This method is also called the precedence diagram method (PDM). The nodes represent activities and the arrows represent logical relationships among the activities. AON representation allows the overlap or lag representation on the relationship arrows connecting activities. 28
  • 29. Node Networks Method (AON) 29 a) Independent Activities 10 A 20 B Activity number Activity name b) Dependent Activities 20 B 10 A Link Link B depends on A
  • 30. Node Networks Method (AON) 30 30 C 10 A 20 B 40 D c) A Merge Relationship C depends on A & B D depends on C d) A Burst Relationship 20 B 30 C 40 D 10 A B depends on A C depends on B D depends on B
  • 31. Node Networks Method (AON) 31 e) Start & Finish Dummy Activities A C B E D A Start Dummy Finish Dummy C B E D
  • 32. Node Networks Method (AON) Draw the node network for the following project. 32 *IPA Activity - A A B A C B D C,D E *immediately preceding activity
  • 33. Node Networks Method (AON) Draw the node network for the following project. 33 IPA Activity - A A B A C B D C,D E A E C D B
  • 34. Node Networks Method (AON) Draw the node network for the following project. 34 *IPA Activity - A A B A C B,C D *immediately preceding activity
  • 35. Node Networks Method (AON) Draw the node network for the following project. 35 IPA Activity - A A B A C B,C D A C D B
  • 36. Node Networks Method (AON) Draw the node network for the following project. 36 *IPA Activity - A A B A C B D B,C E C F *immediately preceding activity
  • 37. Node Networks Method (AON) Draw the node network for the following project. 37 IPA Activity - A A B A C B D B,C E C F A PF C D B E F
  • 38. Node Networks Method (AON) 38 Incorrect Correct Recommendations for Proper Node Diagram Drawing
  • 39. Node Networks Method (AON) 39 A B A B A B A B Improper Proper Recommendations for Proper Node Diagram Drawing
  • 40. Node Networks Method (AON) 40 Improper Proper Recommendations for Proper Node Diagram Drawing
  • 41. Node Networks Method (AON) 41 Improper Proper Recommendations for Proper Node Diagram Drawing
  • 42. Node Networks Method (AON) 42 Improper Proper A B C A B C PS Do not start a network with more than one node Recommendations for Proper Node Diagram Drawing
  • 43. Node Networks Method (AON) 43 Improper Proper Do not end a network with more than one node A B C A B C PF Recommendations for Proper Node Diagram Drawing
  • 45. Lags and Leads In some situations, an activity cannot start until a certain time after the end of its Predecessor. Lag is defined as a minimum waiting period between the finish (or start) of an activity and the start (or finish) of its successor. Arrow networks cannot accommodate lags. The only solution in such networks is to treat it as a real activity with a real duration, no resources, and a $0 budget. 45
  • 46. Lags and Leads The term lead simply means a negative lag. It is seldom used in construction. In simple language: A positive time gap (lag) means ‘‘after’’ and a negative time gap (lead) means ‘‘before.’’ 46
  • 47. Lags and Leads Lag describes delay. It means addition of time so it is denoted by “+” sign in the network diagram. Lead always describes advancement. This means reduction in time taken so it is denoted by “-” sign in the network diagram. 47
  • 48. Lags and Leads 48 Place Concrete 3 Strip Forms 2 3 A lag in a node network Place Concrete Strip Forms Cure Concrete A lag in an arrow network
  • 50. AOA and AON Networks Construct an AOA and AON networks for the activities listed in Table below 50 IPA Activity - A - B A, B C C D C E D F D, E G
  • 51. AOA and AON Networks For the network below, prepare a table showing a list of immediate predecessors and immediate successors for each of the activities. Use the i - j node notation for activities. 51 5 7 4 3 1 2 6