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7/29/2019 Precedence Diagramming
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Precedence Diagramming
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Work Breakdown Structure (WBS)• A deliverable oriented hierarchical decomposition of the work to be executed
by the project team to accomplish the team mission and create the required
deliverables. The WBS defines the project scope.
Scheduling Terminology
Team Mission
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Deliverable• Any unique and verifiable product or result that must be produced to
complete a project. Usually the lowest level of the WBS.
Scheduling Terminology
Team Mission
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Scheduled Activity (task)• A component of work performed to create a deliverable.
Scheduling Terminology
Team Mission
Task 1
Task 2
(Etc.)
Task 1
Task 2
(Etc.)
Task 1
Task 2
(Etc.)
Task 1
Task 2
(Etc.)
Task 1
Task 2
(Etc.)
Task 1
Task 2
(Etc.)
W B S
( S c o p e )
A
c t i v i t y L i s t
( S c h e d u l e )
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Duration• Total number of work periods required to complete a scheduled activity.
Usually expressed as workdays. (contrast with “effort”)
•Effort• Total number of labor units requird to complete a scheduled activity.
Usually expressed as staff hours or a rate. (contrast with “duration”)
•Schedule Milestone• A significant event in the project schedule, such as an event restrainingfuture work or marking the completion of a major deliverable. A “measuring
point”. Milestones have “0” (zero) duration and no resource assignments.
Scheduling Terminology
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Basic Bar Chart
(Gantt Chart)
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Defining Activities/Tasks
•Definition
• Assignment
•
Significance
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Task InterdependenciesSpecify Task Relationships
All tasks are Related To:
• Other Schedule Activities
– “Mandatory” or “Hard Logic”
– “Discretionary” or “Soft Logic”
• External Events
– Dependent Dates
– Required Dates
Network Diagram
Task Interdependencies
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• FS –
Finish Start
Start
Finish
• SS – Start Start
• FF – Finish Finish
Start
Finish
Types of Task Relationships
Finish Start
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• Lead and Lag are used to Modify Relationships• Lead and Lag Can be used with any Relationship Type
(FS, FF, SS)
NormalFinish - Start
Leads and Lags
Finish – StartModified by a Lead
Finish – StartModified by a Lag
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Arrow Diagram Method (ADM)(aka Activity on Arrow – AOA)
•Tasks represented by arrows (length not related to duration)
•Dependency shown as node
•Only F-S relationship used
•Archaic
– not used with current software
1
2
6
7
8
3
5
4
“Dummy task” used to complete logic, duration of “0”
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Precedence Diagram Method
(PDM)(aka Activity on Node – AON and Network Diagram)
•Tasks represented by nodes
•Dependency shown as arrows or links between nodes
•All task relationships can be used (FS, FF, SS)
•Basis for all current software applications
A
B
C
D
E
F
G
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Critical Path
•Sequence of scheduled activities that determines the projectduration
•Longest duration path through the project network
•Activities on the Critical Path are called “Critical Activities”
•Critical activities have no float or slack
•A project can have more than one critical path
•Activities not on the Critical Path are called “Non Critical
Activities
•To shorten the project duration, a scheduler must modify the
critical path activities or dependencies
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•Total Float – the total amount of time through a path of
activities that may be delayed or extended without delayingthe project end date or violating a schedule constraint.
•Free Float – the amount of time within an activity (or milestone) tha can be delayed without delaying the start of the
next activity in the network.
• Negative Float – the amount of time that by which a critical
activity (or milestone) misses a required date.
Float (or Slack)
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Critical Path Method
1. Calculate Early Start & Early Finishdates (FORWARD PASS)
2. Calculate Late Start & Late Finish dates(BACKWARD PASS)
3. Calculate TOTAL FLOAT for each
activity4. Identify activities with 0 (zero) TOTALFLOAT
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16 Activity Node
WBS Code Activity
Late Start (LS)
Late Finish (LF)
Early Start (ES)
Early Finish (EF)
Total Float (TF)
Duration
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity CWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Simple Project consisting of 5 Tasks
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
TWO THINGS
NEEDED TO SET
PROJECT START& END DATE
1. First and last activities
(milestones)
2. Activity durations
1
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Critical Path Method
1. Calculate Early Start & Early Finishdates (FORWARD PASS)
2. Calculate Late Start & Late Finish dates(BACKWARD PASS)
3. Calculate TOTAL FLOAT for eachactivity
4. Identify activities with 0 (zero) TOTALFLOAT
6
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity CWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Project Start Date & Task Durations are known
1
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity CWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Early Finish = Early Start + Duration
18
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Early Start With Single Predecessor
18
8
8
13
10
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Early Start With Multiple Predecessors
18
8
8
13
10
13
16
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Start-to-Start Relationships (A to E)
18
8
8
13
10
13
16
1
4
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Completed FORWARD Pass
18
8
8
13
10
13
16
1
4
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Critical Path Method
1. Calculate Early Start & Early Finishdates (FORWARD PASS)
2. Calculate Late Start & Late Finish dates(BACKWARD PASS)
3. Calculate TOTAL FLOAT for eachactivity
4. Identify activities with 0 (zero) TOTALFLOAT
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Start the BACKWARD Pass
18
8
8
13
10
13
16
1
4
16
The last activity
Early Finish
(EF) will default
to be the LateFinish (LF).
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Late Start (LS) = Late Finish (LF) - Duration
18
8
8
13
10
13
16
1
4
16
13
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Late Starts with Single Successors
18
8
8
13
10
13
16
1
4
16
13
13
13
11
8
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Late Start with Multiple Successors
18 8
8
13
10
13
16
1
4
16
13
13
13
8
11
81
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Finish-to-Finish Relationships (D to E)
18 8
8
13
10
13
16
1
4
16
13
13
13
8
11
81
16
13
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Completed BACKWARD Pass
18 8
8
13
10
13
16
1
4
16
13
13
13
8
11
81
16
13
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Critical Path Method
1. Calculate Early Start & Early Finishdates (FORWARD PASS)
2. Calculate Late Start & Late Finish dates(BACKWARD PASS)
3. Calculate TOTAL FLOAT for eachactivity
4. Identify activities with 0 (zero) TOTALFLOAT
6
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Total Float (TF) = Late Finish (LF) – Early Finish (EF)
18 8
8
13
10
13
16
1
4
16
13
13
13
8
11
81
16
13
0
0
0
12
3
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Critical Path Method
1. Calculate Early Start & Early Finishdates (FORWARD PASS)
2. Calculate Late Start & Late Finish dates(BACKWARD PASS)
3. Calculate TOTAL FLOAT for eachactivity
4. Identify activities with 0 (zero) TOTALFLOAT
6
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Activity A WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
7
Activity BWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
5
Activity C
WBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
2
Activity DWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Activity EWBS Code Activity
Early Start (ES)
Early Finish (EF)
Late Start (LS)
Late Finish (LF)
Duration
Total Float (TF) =
3
Critical Path – Tasks with no Total Float (TF)
18 8
8
13
10
13
16
1
4
16
13
13
13
8
11
81
16
13
0
0
0
12
3
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Task A
2 days
Task B
3 days
Task C
1 days
Task D
2 days
Task E
4 days
Task F
5 days
Task G
2 days
Start Fin
St – A – C – F – Fin: ________
St – B – D – G – Fin: ________
St – B – E – G – Fin: ________
8 days
7 days
9 days
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Task A
4 days
Task B
6 days
Task D
5 days
Task E
10 days
Task F
5 days
Task H
7 days
Task J
2 daysStart Fin
Task C
8 daysTask G
8 days
St – A – D – H – Fin: ________
St – B – E – J – Fin: ________
St – C – F – J – Fin: ________
St – C – G – Fin: ________
16 days
18 days
15 days
16 days
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Activity Duration Preceding Activity
Start (Milestone) 0 --
Task A 4 days Start
Task B 3 days Start
Task C 5 days Task A
Task D 7 days Task B
Task E 3 days Task B
Task F 10 days Task C & Task D
Task G 4 days Task D & Task E
Task H 2 days Task E
Task I 2 days Task F & Task GTask J 4 days Task H
Finish (Milestone) 0 Task I & Task J
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St – A – C – F – I – Fin: ________
St – B – D – F – I – Fin: ________
St – B – D – G – I – Fin: ________
St – B – E – G – I – Fin: ________
S B E H J Fi
12 days
16 days
22 days
21 days
Task C
5 daysTask A
4 days
Start
Fin
Task B
3 days
Task D
7 days
Task E
3 days
Task F
10 days
Task G
4 days
Task H
2 days
Task J
4 days
Task I2 days
12 d