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PROJECT MANAGEMENT
PERT/CPM
MANAGEMENT SCIENCE
ByK. Venkaiah BabuMBA., (Ph D)
Science & Humanities Dept.,
Sri SarathiInstitute of Engineering & Technology
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LECTURE OUT LINE
I ntroduction to Project M anagement
To understand the project L ife Cycle
1. Project Planning 2. W B S
3. Project Scheduling 4. Project Control
To apply tools and technique's Gantt chart /& Mail stone chart
CPM
PERT & Probabilistic Activity Times
Project Crashing and Time-Cost Trade-of f
Describe how CPM / PERT have developed
and merged together to provide a useful
technique for managing projects.
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What is Project?
Definition:
Set of inter-related activities
Unique, one-time operation activity or effort to plan, implement, and control the management of
large, one time projects
Application:
Used in Construction, Shipbuilding, Weapons,Systems Development, etc.
Applies to uncertain technology projects
Applies to variable cost resource allocation
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Project Characteristics
Set of Activities
Single unit
Money & Time related
General purpose
High labor skills required
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Project Elements
Objective of Project Management
Scope (Limitations / Boundary)
Contract requirements
Schedules
Resources (Physical)
Personnel (Psychological)
Control
Risk and problem analysis
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Generic Project Life Cycle
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EXAMPLES OFPROJECTS
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Examples of Projects
Building construction
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Examples of Projects
Building construction
New product introduction
9 Nude Sandalfoot
Medium to Tall (B)
No nonsense
New!
Improved!
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Examples of Projects
Building construction
New product introduction
Training seminar
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Examples of Projects
Building construction
New product introduction Training seminar
Research project
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Examples of Projects
Building construction
New product introduction
Training seminar
Research project
S/W development
Planning concert, football games, or basketball
tournaments
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Project Scope
Scope statement
A document that provides an understanding,justification, and expected result of a project
Statement of work written description of objectives of a project
Work breakdown structure
breaks down a project into components,subcomponents, and activities
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What is Project Management? (PM)
PM is the application of knowledge, skills,
tools and techniques to project activities in
order to meet project requirements.
Project Management
is an art.
is a science. has a set of tools and methods.
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Effective Project Managers
Lead by example
Visionaries
Technically
competent
Decisive/pivotal
Good
communicators
Good motivators
Stand up to exertwhen necessary
Support team
members
Encourage new
ideas
Qualities of Project Manager:Project Manager is the most important member of project team
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Process of Project Management
Project Planning Project Scheduling
Project Control
Project Team made up of individuals from various areas and
departments within a company
Matrix Organization a team structure with members from functional
areas, depending on skills required
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Mechanism of Planning
Define project objective (SMART)
Define work breakdown structure (WBS)
Identify tasks and subtasks -- deliverables
Lowest elementstand alone work package
Identify tasks relationship
Identify possible risks
Estimate work packages (people, time, etc.)
Create initial schedule
Iterate plan (Procedure)
Document
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Benefits of the Planning
Framework for communication Clients and coworkers
Allocate resources Personnel, equipment and facilities, budget
Benchmark to measure progress
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OBJECTIVES OF
PROJECT MANAGEMENT
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Objectives of Project
Management To complete project within elapsed time
To ensure optimum utilization ofavailable resources without delay
To complete a project with a minimum of
capital investment.
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PROJECT MANAGEMENT
PROCESS
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Project Management Process
Planning
Objectives
Resources
Work break-
down sched.
Organization
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Project Management Process
Planning
Objectives
Resources
Work break-
down sched.
Organization
Scheduling
Project
activities Start &
end times
Network
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Project Management Process
Planning
Objectives
Resources Work break-
down sched.
Organization
Scheduling
Project
activities Start &
end times
Network
Controlling
Monitor, compare,
revise, action
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PROJECT PLANNING
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Project Planning
Establishing objectives
Defining project
Creating work breakdown
structure (WBS)
Determining resources
Forming organization
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Work Breakdown Structure
(WBS) First Step in Project Management Begins with a Work Breakdown
Lists the WHAT of a Project
Begins with Finished Project
Consists of Tree Chart, with Each Branch Listing the WHATsat that Level
Then List Each Task that Must Be Completed toAccomplish the WHAT Start at top, progressively break work down into work packages Roll up the packages for bottom up estimating
Packages give clear work assignments
Splits work into manageable, logical packages
Make sure packages can be tested for completeness
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Top Down Decomposition, Elemental Tasks
` BUY A HOUSE
LOCATION FINANCINGFIND
HOUSE
1 - Criteria 3- Determine
affordability6
- Type of
House
2 - VisitLocations
4 - Determinemortgage
provider
7 - Find RealEstate
Agent
5
- Lockup
mortgage
commitment
8- Look for
House
9
- Make
Offer, P&S
Agreem't
10 - Closing
Ex: WBS Buy a House
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Project Organization
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Project Organization
Often temporary structure
Uses specialists from entire company
Headed by project manager
Coordinates activities
Monitors schedule
& costs
Permanent
structure called
matrix organization
Acct.
Eng. Eng.Mkt.
Mgr.
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PROJECT SCHEDULING
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Project Scheduling
Sequencing activities
Identifying precedence
relationships
Determining activity times
& costs
Estimating material &
worker requirements Determining critical
activities
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Project Scheduling Techniques
Gantt chart
Critical Path Method(CPM)
Program Evaluation &Review Technique (PERT)
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More popular Techniques of Network are:
CPM Critical Path Method
PERT Programme Evaluation and Review Method
LCS Least Cost Method
RAMS Resource Allocation and Multi-project Scheduling
MAP Manpower Allocation Procedure
RPSM Resource Planning and Scheduling Method
GERT Graphical Evaluation and Review Technique
Project Scheduling Techniques
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PROJECT CONTROL
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Project Control
Time management
Cost management
Quality management
Performance management Earned Value Analysis
a standard procedure for numericallymeasuring a projects progress, forecasting itscompletion date and cost and measuringschedule and budget variation
Communication
Enterprise project management
Periodical check list concerned with:
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GANTT CHART
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Gantt ChartGantt Chart was developed by
Henry Laurence Gantt (1861-1919) was a
mechanical engineer and management
consultant who is most famous for developing
the Gantt chart in the 1910s. These Gantt
charts were employed on major infrastructure
projects including the Hoover Dam andInterstate highway system. He refined
production control and cost control techniques.
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Example of Gantt Chart
| | | | |Activity
Design houseand obtainfinancing
Lay foundation
Order andreceivematerials
Build house
Select paint
Select carpet
Finish work
0 2 4 6 8 10
Month
Month
1 3 5 7 9
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Gantt Chart
Activities in Buy a House` BUY A HOUSE
LOCATION FINANCINGFIND
HOUSE
1 - Criteria 3- Determine
affordability6
- Type of
House
2- Visit
Locations4
- Determine
mortgage
provider
7
- Find Real
Estate
Agent
5
- Lockup
mortgage
commitment
8- Look for
House
9
- Make
Offer, P&S
Agreem't
10 - Closing
TASK PREDECESSOR
1-criteria 3
2-visit loc. 13-affordability
4-mortgage co 3
5-mortg lock 4
6-type of hse 1
7-real est agent 2, 6
8-look for hse 79-offer, P&S 5, 8
10-closing 9
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Gantt Chart
Buy a House
Simple Gantt Chart View
TASK PREDECESSOR
1-criteria 3
2-visit loc. 1
3-affordability
4-mortgage co 35-mortg lock 4
6-type of hse 1
7-real est agent 2, 6
8-look for hse 7
9-offer, P&S 5, 8
10-closing 9
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Limitations of Gantt Chart
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CPM & PERT
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CPM & PERT
Network techniques
Developed in 1950s
CPM by DuPont for chemical plants In 1957
suitable for Civil & Mechanical Projects PERT by U.S. Navy for Polaris missile in 1958
consulting with M/s Booz, Allen & Hamilton
Consider precedence relationships &interdependencies
Each uses a different estimate of activity
times
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CPM & PERT Steps
Identify activities
Determine sequence
Create network Determine activity times
Find critical path
Earliest & Latest start times
Earliest & Latest finish times
Slack or Float
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Completion date?
On schedule? Within budget?
Probability of completing by ...? (Duration) Critical activities?
Enough resources available?
How can the project be finished early at theleast cost?
Questions Answered by
PERT & CPM
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Constructing Networks
G hi l R i f
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Graphical Representation of
Events and Activities
Flow Charting - Uses Nodes and Arrows
Arrows
An arrow leads from tail to head directionally
Nodes
A node is represented by a circle or any
mathematical symbol
ArrowNode
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Activity On Node (AON)
Task is Represented by Node as the
Completion of an Activity
Arrows Represent the Sequential Linkages
Between Activities
For Example, Node 1 is Begin, Node 2 is
Complete Task 1, Node 3 is Complete Task 2
1 2 3
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Activity On Arrow (AOA)
Task is Represented by an Arrow Bounded
on Either End by a Node (Event)
Each Event is Identified by a Number
The Activity is Designated by the Leading
Event Number and the Following Event
Number - i.e. Activity 1 - 2
1 2
D i ti T k
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Designating Task
Relationships
Sequential vs. Concurrent Activities
1 2 3
1
2
3
4
Sequential Task Relationship
Concurrent Task Relationships
D i ti DUMMY
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Designating DUMMY
Activities
Represented by Dashed Arrows
Show Sequential Relationships Among
Tasks, but Take No time or Resources
1
2
3
4
Dummy Activity 2-3
indicates that both
Activities 1-2 and 2-3 must
be Completed beforebeginning Activity 3-4
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Network Terms
24 Years
Activity
(Arrow)
RegisterReceive
degree
Project: Obtain a college degree - B. Tech.
Event (Node)
Attend class,study etc.
1
Event (Node)
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Activity
Relationships
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Activity Relationships
1
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Activity Relationships
1 4
2
3
A
B
C
A must be done
before C & D can
beginD
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Activity Relationships
1 4
2
3
A
B E
C
B & C must be done
before E can begin
D
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Activity Relationships
1 4
2
3
A
B E
C
A must be done
before C & D can
begin
A & B can occur
concurrently
D
B & C must be done
before E can begin
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Dummy Activities
Activities are defined often by beginning &ending events
Example: Activity 2-3
Every activity must have unique pair ofbeginning & ending events
It is an imaginary activity
Consume no Time or ResourcesDummy activities maintain precedence or
logical sequence of activities.
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Dummy Activities
Example
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Dummy Activities Example
1 431-2
2-3
Incorrect
22-3
3-4
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Dummy Activities Example
Different activities;
same designation
1 43
1-2
2-3Incorrect
2 2-3
3-4
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Dummy Activities Example
Incorrect
1 42
3
51-2
2-3
2-4 4-5
3-4: Dummy
act iv i ty
Correct
1 43
1-2
2-3
2 2-3
3-4
Some more Example of Dummy
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Some more Example of Dummy
Activities
ExI
A Printing invitation Cards
B Collection of Address
C Dispatching of Cards
2
1
3 4B
A
C
2-3: Dummy
act iv i ty
Some more Example of Dummy
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Some more Example of Dummy
Activities
ExII
If A & E are concurrent
B is after A & E and
F is after E
E
A
F
B
Labeling the Events by
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Labeling the Events by
Dr. Fulkersons Rules:
Numbering the events by DR. Fulkersons rules: There is a single initial event in the net work diagram. This
initial event will have arrows coming out of it and noneentering it. Number this initial event as 1.
Neglect all the arrows emerging out of the initial event
numbered 1. Doing so, it will apparently provide one or morenew initial events.
Number these apparently produced new initial events as 2, 3, 4 etc.
Again neglect all emerging arrows from these numbered
events. This will create few more initial evens. Follow rule3.
Continue this operation until the last event, which has noemerging arrows, is numbered.
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Numbering the Events
A
m n
o
p
q
r
s t
B
C
A G
D
F
I
H
J
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Network Example
Youre a project manager for Bechtel.
Construct the network.Activity Predecessors
A --B A
C A
D B
E BF C
G D
H E, F
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Network Example - AON
A
C
E
F
BD
G
H
Z
AOA
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Network Example - AOA
2
4
51
3 6 8
7 9
A
C F
EB
D
H
G
Activity Predecessors
A --
B AC A
D BE B
F CG D
H E, F
Rough arrow diagram
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2
4
51
3 6
7A
C F
EB
D
H
G
Network Example - AOA
Final Arrow Diagram
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C P M Technique - foretaste
Activity oriented technique Single Time estimation
Designed for repetitive projects
Not Statistically analyzed Demarcates critical activities
Dummy activities are not necessary
Employs words like arrow diagram, nodes andfloats etc
Suitable for industrial settings, plantmaintenance, civil construction projects etc.
Critical Path Analysis
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Critical Path Analysis
Example
EventID
Pred. DescriptionTime(Wks)
A None Prepare Site 1
B A Pour fdn. & frame 6C B Buy shrubs etc. 3
D B Roof 2
E D Do interior work 3F C Landscape 4
G F, E Move In 1
Critical Path Analysis
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Critical Path Analysis
Example
EventID
Acty.. DescriptionTime(Wks)
A 1 - 2 Prepare Site 1
B 2 - 3 Pour fdn. & frame 6C 3 - 4 Buy shrubs etc. 3
D 3 - 5 Roof 2
E 5 - 6 Do interior work 3F 4 - 6 Landscape 4
G 6 - 7 Move In 1
C i i A i
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2
4
5
1 3 6 7A.1
C.3 F.4
E.3
B.6
D.2
G.1
Critical Path Analysis
ExampleEventID
Acty..
A 1 - 2
B 2 - 3C 3 - 4
D 3 - 5
E 5 - 6
F 4 - 6
G 6 - 7Different paths from network:
1-2-3-4-6-7 - 15 (Critical Path)
1-2-3-5-6-7 - 13
Earliest Start Time &
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Earliest Start Time &
Finish Steps
Begin at starting event & work forward
EST = 0 for starting activities
EST is earliest start
EFT = EST + Activity time EFT is earliest finish
EST = Maximum EFT of all predecessors fornon-starting activities
Latest Start Time &
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Latest Start Time &
Finish Steps
Begin at ending event & work backward
LFT = Maximum EFT for ending activities
LFT is latest finish; EFT is earliest finish
LST = LFT - Activity time LST is latest start
LFT = Minimum LST of all successors fornon-ending activities.
Compute Earliest, Latest &
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Compute Earliest, Latest &
Slack durations.
Activity ES EF LS LF Slack
A 1-2 0 1 0 1 0
B 2-3 1 7 1 7 0C 3-4 7 10 7 10 0D 3-5 7 9 9 11 2E 5-6 9 11 11 14 3F 4-6 10 14 10 14 0G 6-7 14 15 12 15 0
Earliest LatestAct.Dura.
1
63
23
4
1
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PERT
&Time Estimates
i f
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Event oriented technique
Three time estimation
Use of dummy activities are required
representing the proper sequence A probabilistic model with uncertainty in
activity duration
Analyzed statistically Employs words Network diagram, events and
Slack etc
PERT Technique - foretaste
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Activity Time Estimates
CPM - One Time Estimate per Activity
PERT - Three Time Estimates per Activity
to = Optimistic Time Estimate
tm = Most Likely Time Estimate
tp = Pessimistic Time Estimate
Can Calculate Activity Mean Time Estimate
and Variance
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PERT Time Estimates
Activity Mean Time Estimate = te
Activity Variance Estimate = Sigmae
te = (to + 4tm + tp)/6
Sigmae = (tp - to)/6
Can Use Central Limit Theorem to Estimate Project Time
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21
Fid
Ft
t
Ff
E2
L2
E1
L1
Computing the Float value
Example Network Flow
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Example Network Flow
Diagram
7
6
5
4
3
2
1
B
A
E
C
D
G
F
H
I
J
Example Activity
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Example Activity
Characteristics
A 1-2 10 12 14 12 2/3
B 1-3 9 11 13 11 2/3
C 2-4 1 3 11 4 5/3
D 2-5 1 8 9 7 4/3
E 3-4 1 7 13 7 6/3
F 3-6 5 10 15 10 5/3
G 4-5 8 13 18 13 5/3
H 4-6 1 7 19 8 9/3
I 5-6 6 10 20 11 7/3
J 6-7 6 10 14 10 4/3
Activity a m b te Sigmae
Example Network Flow
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Example Network Flow
Diagram
7
6
5
4
3
2
1
te
=11
te
=12
te=7
te=7
te=13
te=10
te=8
te=11
te=10
te=4
Earliest Start Time &
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Earliest Start Time &
Finish Steps
Begin at starting event & work forward
EST = 0 for starting activities
EST is earliest start EFT = EST + Activity time
EFT is earliest finish
EST = Maximum EFT of all predecessors fornon-starting activities
Example Network Flow
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Example Network Flow
Diagram
7
6
5
4
3
2
1
te
=11
te
=12
te=7
te=7
te=13
te=10
te=8
te=11
te=10
te=4
ES=12
ES=52
ES=42
ES=31
ES=18
ES=11
ES=0
Latest Start Time &
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Latest Start Time &
Finish Steps
Begin at ending event & work backward
LFT = Maximum EFT for ending activities
LFT is latest finish; EFT is earliest finish LST = LFT - Activity time
LST is latest start
LFT = Minimum LST of all successors fornon-ending activities.
Example Activity
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Example Activity
Characteristics
1-2 10 12 14 12 2/3 0 2 12 14
1-3 9 11 13 11 2/3 0 0 11 11
2-4 1 3 11 4 5/3 12 14 16 18 2-5 1 8 9 7 4/3 12 24 19 31
3-4 1 7 13 7 6/3 11 11 18 18
3-6 5 10 15 10 5/3 11 32 21 42
4-5 8 13 18 13 5/3 18 18 31 31
4-6 1 7 19 8 9/3 18 34 26 42 5-6 6 10 20 11 7/3 31 31 42 42
6-7 6 10 14 10 4/3 42 42 52 52
to tm tp te Sigmae EST EFT LFTLST
Example Network Flow Diagram
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Example Network Flow Diagram
With Critical Path
7
6
5
4
3
2
1
t1-3=11
0|0|11|11
t1-2=12
0|2|12|14
t3-4=7
11|11|18|18
t2-5=7
12|24|19|31
t4-5=13
18|18|31|31
t3-6=10
11|32|21|42
t4-6=8
18|34 |26|42
t5-6=11
31|31|42|42
t6-7=10
42|42|52|52
t2-4=412|14|16|18
ES|LS|EF|LF
C ti th Fl t l
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21
Fid
Ft
t
Ff
E2
L2
E1
L1
Computing the Float value
Distinction between CPM & PERT
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Activity oriented technique.
It has one time estimate. Designed for repetitive projects.
Not statistically analyzed.
It demarcates critical activities.
It employs words like arrow
diagram, node, floats etc. Dummy activities are not
necessary.
Suitable for industrial settings,plant maintenance, civilconstruction projects.
A deterministic model with wellknown activities times based on
past experience.
Cost is not directly proportional totime and const is the controllingfactor.
Event oriented technique.
It has three time estimation. Suitable for non-repetitive
projects.
Analyzed statistically.
It does not demarcated critical andnon-critical activities.
It employs words like networkdiagram, events Slack etc.
Use of dummy activities arerequired representing the propersequence.
Suitable for defense projects and
R & D etc. Where activitiescannot be predicted.
A probabilistic model withuncertainty in activities duration
Cost varies directly with time andtime is the controlling factor.
C P M P E R T
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Benefits &
Limitationsof PERT/CPM
Benefits
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of PERT/CPM
Useful at many stages of project
management
Mathematically simple
Use graphical displays
Give critical path & slack time
Provide project documentation
Useful in monitoring costs and time
Limitations
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of PERT/CPM
Clearly defined, independent, & stable
activities
Specified precedence relationships
Activity times (PERT) follow
beta distribution
Subjective time estimates
Over emphasis on critical path
Conclusion
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Conclusion
Explained what a project is
Summarized the CPM / PERT project
activities and their time estimates
Drew project networks
Compared PERT & CPM
Determined slack & critical path Computed project probabilities
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Project Management
PERT/CPM
THE END