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Scope and Time
Management
PPt#2
SPECIFIC LEARNING OBJECTIVES:
At the end of this module you MUST be able to:
 Demonstrate an understanding of the triple constraints of a project.
 Conduct project planning base on the project cycle.
 Apply the analytical approach in assessing the financial viability of
projects using analytical tools such as net present value and return of
investment.
 Plan the scope of a project using project tools like the work breakdown
structure.
 Discuss project time management.
 Construct network diagrams and apply the PERT technique to estimate
project time-line.
Introduction
 This module examines two core areas of the project
management functions – scope and time management.
 Project Scope Management includes the processes involved in
defining and controlling what is or is not included in a project.
It ensures that all project stakeholders have the same
understanding of what the deliverables are and how and when
they will be delivered.
Introduction
Project time management involves the
processes required to ensure timely
completion of a project.
These include activity definition,
activity sequencing, activity duration
estimating, schedule development, and
schedule control.
Project planning
Project planning is a dynamic, “cyclical” process that
continues throughout the project life cycle.
Planning must take place to deal with problems,
changes, or risks as they occur in the project.
Planning begins with the identified and agreed to
requirements in mind.
It is critical to the success of the project to
understand your destination when you start.
Project planning
You will know where you are going and you will
have developed plans to arrive at the goal and
complete the project successfully.
Project managers must learn how to develop a
project strategy and plan regarding how to
implement that plan. Your organization, team,
and stakeholders depend on it.
Project planning
Project planning is a cycle that is repeated on an on-
going basis. For the duration of the project, it is never
a finished process.
Why? Because resources change or move, factors in
the organization may change causing project
objectives to change, unknown risks can occur, or
technology may change, requiring project managers
to continually monitor and manage this process
throughout the life of the project.
The Project Cycle
Project definition
Key inputs to Project Definition:
Clearly defined requirements
Defined mission and objectives of the project
Defined and agreed to the statement of work.
Project definition
The statement of work or scope statement must
clearly state the project objectives and should
follow the SMART concept:
Specific
Measurable
Agreed to by the team and stakeholders
Realistic within the specific environment
Time-constrained.
Outputs of Project definition
Project charter
Stakeholder identification and assessment
Risk identification, assessment, and response
Quality plan
Communications plan
Work breakdown structure.
Triple constraints
Scope management
Project scope management can be defined as
“the processes involved in defining and
controlling what is or is not included in a project”.
It entails making sure that all project stakeholders
have the same understanding of what the
deliverables are and how and when they will be
delivered.
Scope management
The five key processes involved in scope management include:
 Initiation – beginning a project or continuing to the next phase. Usually
involves the creation of a project charter.
 Scope planning – involves establishing decision-making criteria (a. How
do we know when we’re done? b. How do we know when we’ve won? c.
Who gets to decide a & b?) Deliverables include scope statement and
scope management plan.
 Scope definition – creating a work breakdown structure (WBS) – to break
major deliverables down into smaller, more manageable components).
 Scope verification – formal acceptance of scope definition by key
stakeholders.
 Scope change control – controlling ‘scope creep’.
Project selection
Projects should support the strategic direction
of the organization and be managed to ensure
tangible benefits to the organization.
The organization’s strategic plan should guide
the project selection process.
Project selection : The analytical approach
There are a number of rational analytical models that can be used in
project selection.
1. Need, funding and will (NFW) model
Do people agree that the project needs to be done?
Is the organization prepared to allocate sufficient
funds for the project?
Is there a strong will to make the project succeed
(especially CEO and senior management support)?
Project selection : The analytical approach
2.Categorization approach
Problems, opportunities, and directives (POD)
Windows of opportunity – categorization based
on estimated project time or completion dates
Overall priority – high, medium, or low?
Project selection : The analytical approach
3.Financial models
Net Present Value (NPV)
Return on Investment (ROI)
Payback Period
Internal Rate of Return (IRR)
Weighted scoring model
Project charters
The key document that often defines project initiation is
the project charter.
A project charter is a document that formally recognizes
the existence of a project and provides direction on the
project’s objectives and management. Once the project
charter is signed by the project sponsor, it provides
authorization for the project manager to start planning.
The charter is often used to let key members of the
organization know about the existence of the project,
and to authorize its implementation.
Key project stakeholders should sign the charter.
Project charters
At a minimum a project charter should contain:
Title and date of authorization
Name of project manager and contact info
Statement of project Scope
Summary of approach:
roles and responsibilities matrix
a sign-off page for key stakeholders.
Project charters
Sample Project Charter Table of Contents
1. Project Name
2. Project Objectives
3. Project Purpose
4. Scope (In and Out of Scope)
5. Key Deliverables
6. High-Level Schedule (Plan)
7. Key Stakeholders (internal and
external)
8. Cross Organization Team
Members
9. Risk Management
10.Links to Other Projects
11.Constraints and Assumptions
12.Completion Criteria
13.Approval.
Scope planning
Scope planning involves developing documents to
clarify project scope and the basis for project
decisions including criteria for phase sign-off.
(How do we know when we’re done?) The key output
is a scope statement.
The scope statement, or statement of work, is the key
document used to enunciate and confirm the scope
of the project.
Scope planning
It should include the following:
 Project justification (What is the business need? Why are we doing
this project?)
 Project products (Key products and services – e.g., minimum
hardware and software requirements)
 Summary of project deliverables
 Scope management plan (cost, time and quality measures of
success and clearly articulates both what the project will deliver and
what it will not deliver) Sometimes called a Statement of Work
 Scope definition – The Work Breakdown Structure.
Scope definition
 The next step in scope management is scope definition – or
breaking the work down into manageable pieces.
Good scope definition:
 Helps improve the accuracy of time, cost and resource
estimates
 Defines a baseline for performance measurement and project
control
 Assists in communicating work responsibilities.
The Work Breakdown Structure (WBS)
A work breakdown structure (WBS) is defined as: “a
deliverables oriented depiction of the work involved
in a project that defines the total scope of the
project”.
In simple terms, it’s a detailed listing of what is
required to deliver the product/service of the project.
It is the “heart” or foundation of project management
that provides the basis for planning and
development for the project.
WBS Rules
1. Begin with the scope statement
2. Task descriptions developed using a verb and a noun
3. Develop WBS to the lowest level of control required to
effectively manage a project (Work Package – guideline 80
hours of effort)
4. Each work package is developed to accomplish a discrete and
separate element of work
5. Allow assignment to a single organizational unit for exclusive
responsibility
WBS Rules
6. Organize the WBS by Task:
 phase
 activity
 task
 step.
OR
7. Organize the WBS by Deliverables:
 hardware
 software
 network.
SAMPLE WBS
Work breakdown structures can be presented in many ways. A common form
and the one used in project management software, such as MS Project, is a
tabular form like this:
Scope Management
 Scope Creep. This is a phenomenon that often occurs in
projects as a result of the best of intentions. It is the tendency
for project scope to get larger and larger.
 Two methods of controlling scope creep are scope verification
and scope change control.
 Scope verification involves documenting the project’s
processes and products and getting the key stakeholders to
sign off on them. In a project, this is usually accomplished
through what is known as a Business Requirements Document
and a Technical Specifications Document.
Scope Management
 Scope Change Control usually entails a formalized process for
changing project scope wherein the implications in terms of
time and cost are clearly stated. Again, key stakeholders are
required to sign-off on accepted changes to the scope of the
project. The best preventative measure for project scope
change is doing a thorough job of requirements and
specifications in the first place.
Project time management
Overall, schedule issues are one of the primary
sources of conflict over the life of a project. Scope
and cost can be estimated and debated. The
schedule, once set, tends to be the least flexible and
the most easily measured and evaluated of the three
project constraints.
Definition: Project Time Management involves the
processes required to ensure timely completion of a
project.
Project time management
These include:
 Activity definition – identifying the activity or task that must be performed
to produce the project deliverables (A task is an element of work that has
an expected duration, cost, and resource requirements.)
 Activity sequencing – identifying and documenting the relationships
between project activities (particularly the order of execution).
 Activity duration estimating – approximating the amount of time or
number of work periods needed to complete each activity or task.
 Schedule development – analyzing activity sequences, duration estimates,
and resource requirements to create a workable schedule.
 Schedule control – controlling and managing changes to the project
schedule.
Project time management
 Activity definition usually entails developing a more detailed work breakdown
structure. The project team should review this revised WBS before moving to
the next step – activity sequencing. Part of activity definition includes
documenting detailed product descriptions, assumptions, and constraints.
 Activity sequencing looks at dependencies and relationships – does one activity
need to precede another or can they be done in parallel? Three main types of
dependencies:
 Mandatory – ‘hard logic’ – one task cannot start until a previous task is
complete (e.g., can’t test until you build)
 Discretionary – ‘soft logic’ – defined by the project team (e.g., no detailed
design until the analysis is signed off)
 External – dependent on non-project activity (e.g., software install project
can’t start until the hardware is delivered).
Schedule development tools
The key project management tools used to
develop accurate and effective schedules
include:
Network Diagrams,
Gantt charts, and
Critical Path analysis.
Network diagrams
A project network diagram is a schematic
display of the logical relationships among
project activities or the sequencing of
project activities.
It is the preferred technique for showing
activity sequencing.
Network diagrams
Network diagrams
 In the above network diagram, the letters represent activities
or tasks. The arrows show the sequencing, and the values
associated with the letters (e.g. D=3) represent the units of
time (days, weeks, etc.) associated with that task or activity.
 The example diagram uses the Activity on Arrow (AOA) or
Arrow Diagramming Method (ADM), in which activities are
represented by arrows and are connected at points called
nodes to illustrate activity sequencing. The total estimated
duration of this sample project is the sum of all the numbers
associated with arrows - or 25 days.
Activity duration estimating
 Duration = actual amount of time worked on an activity plus
elapsed time.
 (This may need to take into consideration people working
only half time, waiting for some critical resource, or preceding
activity).
 Best estimates will likely come from the people who have to
do the work, although there will be a tendency to pad their
time estimates as a risk mitigation strategy.
A Network Diagram that illustrates the Precedence
Diagramming Method (PDM)
Gantt charts
A Gantt chart is a standard format for displaying
project schedule information by listing project
activities and their corresponding start and finish
dates in calendar format.
Gantt charts were developed by Henry Gantt
during World War I for scheduling work in
factories.
Today they are usually produced by project
management software.
Gantt charts
Gantt charts
 A tracking Gantt chart is a variation of a Gantt chart that
compares planned and actual project schedule information
(also called total float).
 The planned dates are called baseline dates.
 A white diamond on a tracking Gantt indicates a slipped
milestone – or a milestone activity that was completed later
than originally planned.
 Gantt charts are easy to create and provide a standard format
for displaying planned and actual activities. However, they do
not show relationships and dependencies between tasks as
well as network diagrams or PERT charts do.
Critical path analysis
 Critical path analysis or the Critical Path Method (CPM) is a
project network analysis technique used to predict total project
duration. Within any project, there will be some tasks, which
have some slack or float time associated with them. That is, if
they don’t get done exactly on schedule, they won’t impact
other activities or the overall completion date.
 However, there are some activities, if not completed on time will
impact the timing of other activities and can throw the whole
project off schedule. Thus the critical path for a project is those
series of activities that together determine the earliest time by
which the project can be completed.
Critical path analysis
Important definitions:
 Free slack – the amount of time an activity can be delayed
without delaying the early start of any immediately following
activity
 Early start (ES) – the earliest possible time an activity can start
 Total slack– the amount of time an activity can be delayed
from its early start without delaying the planned project
completion date
 Forward pass – determine the early start and early finish dates
for each activity
Critical path analysis
Important definitions:
 Early finish (EF) – the earliest possible time an activity can
finish = early start + duration
 Backward pass – determines late start and late finish dates for
each activity
 Late start (LS) – latest possible time an activity can start
without delaying the project completion date
 Late finish (LF) – latest possible date an activity can be
completed without delaying the overall project completion
date.
Techniques for shortening a project schedule
 Crashing is a technique for making cost and schedule trade-
offs to obtain the greatest amount of schedule compression
for the least incremental cost. This involves adding more
resources to a critical path item. The trade-off is a shortened
project duration for higher overall project costs.
 Fast tracking calls for performing activities in parallel that you
would normally do sequentially or in slightly overlapping time
frames (e.g., starting to program or code before all of the
analysis is complete). The trade-off is shortening the project
duration at the risk of having to do work over and resulting in
a longer overall duration.
PERT – Programe evaluation and review
technique
 PERT – a network analysis technique used to estimate project
duration when there is a high degree of uncertainty about the
individual duration estimates.
 PERT uses probabilistic time estimates – estimates of activity
duration using optimistic, most likely, and pessimistic
estimates of activity duration. Thus PERT attempts to address
the risk associated with duration estimates.
PERT – Programe evaluation and review
technique
The basic PERT formula is as follows:
PERT weighted average
= optimistic time + (4X most likely time) + pessimistic
time
THANK YOU

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Scope and Time Management

  • 2. SPECIFIC LEARNING OBJECTIVES: At the end of this module you MUST be able to:  Demonstrate an understanding of the triple constraints of a project.  Conduct project planning base on the project cycle.  Apply the analytical approach in assessing the financial viability of projects using analytical tools such as net present value and return of investment.  Plan the scope of a project using project tools like the work breakdown structure.  Discuss project time management.  Construct network diagrams and apply the PERT technique to estimate project time-line.
  • 3. Introduction  This module examines two core areas of the project management functions – scope and time management.  Project Scope Management includes the processes involved in defining and controlling what is or is not included in a project. It ensures that all project stakeholders have the same understanding of what the deliverables are and how and when they will be delivered.
  • 4. Introduction Project time management involves the processes required to ensure timely completion of a project. These include activity definition, activity sequencing, activity duration estimating, schedule development, and schedule control.
  • 5. Project planning Project planning is a dynamic, “cyclical” process that continues throughout the project life cycle. Planning must take place to deal with problems, changes, or risks as they occur in the project. Planning begins with the identified and agreed to requirements in mind. It is critical to the success of the project to understand your destination when you start.
  • 6. Project planning You will know where you are going and you will have developed plans to arrive at the goal and complete the project successfully. Project managers must learn how to develop a project strategy and plan regarding how to implement that plan. Your organization, team, and stakeholders depend on it.
  • 7. Project planning Project planning is a cycle that is repeated on an on- going basis. For the duration of the project, it is never a finished process. Why? Because resources change or move, factors in the organization may change causing project objectives to change, unknown risks can occur, or technology may change, requiring project managers to continually monitor and manage this process throughout the life of the project.
  • 9. Project definition Key inputs to Project Definition: Clearly defined requirements Defined mission and objectives of the project Defined and agreed to the statement of work.
  • 10. Project definition The statement of work or scope statement must clearly state the project objectives and should follow the SMART concept: Specific Measurable Agreed to by the team and stakeholders Realistic within the specific environment Time-constrained.
  • 11. Outputs of Project definition Project charter Stakeholder identification and assessment Risk identification, assessment, and response Quality plan Communications plan Work breakdown structure.
  • 13. Scope management Project scope management can be defined as “the processes involved in defining and controlling what is or is not included in a project”. It entails making sure that all project stakeholders have the same understanding of what the deliverables are and how and when they will be delivered.
  • 14. Scope management The five key processes involved in scope management include:  Initiation – beginning a project or continuing to the next phase. Usually involves the creation of a project charter.  Scope planning – involves establishing decision-making criteria (a. How do we know when we’re done? b. How do we know when we’ve won? c. Who gets to decide a & b?) Deliverables include scope statement and scope management plan.  Scope definition – creating a work breakdown structure (WBS) – to break major deliverables down into smaller, more manageable components).  Scope verification – formal acceptance of scope definition by key stakeholders.  Scope change control – controlling ‘scope creep’.
  • 15. Project selection Projects should support the strategic direction of the organization and be managed to ensure tangible benefits to the organization. The organization’s strategic plan should guide the project selection process.
  • 16. Project selection : The analytical approach There are a number of rational analytical models that can be used in project selection. 1. Need, funding and will (NFW) model Do people agree that the project needs to be done? Is the organization prepared to allocate sufficient funds for the project? Is there a strong will to make the project succeed (especially CEO and senior management support)?
  • 17. Project selection : The analytical approach 2.Categorization approach Problems, opportunities, and directives (POD) Windows of opportunity – categorization based on estimated project time or completion dates Overall priority – high, medium, or low?
  • 18. Project selection : The analytical approach 3.Financial models Net Present Value (NPV) Return on Investment (ROI) Payback Period Internal Rate of Return (IRR) Weighted scoring model
  • 19. Project charters The key document that often defines project initiation is the project charter. A project charter is a document that formally recognizes the existence of a project and provides direction on the project’s objectives and management. Once the project charter is signed by the project sponsor, it provides authorization for the project manager to start planning. The charter is often used to let key members of the organization know about the existence of the project, and to authorize its implementation. Key project stakeholders should sign the charter.
  • 20. Project charters At a minimum a project charter should contain: Title and date of authorization Name of project manager and contact info Statement of project Scope Summary of approach: roles and responsibilities matrix a sign-off page for key stakeholders.
  • 21. Project charters Sample Project Charter Table of Contents 1. Project Name 2. Project Objectives 3. Project Purpose 4. Scope (In and Out of Scope) 5. Key Deliverables 6. High-Level Schedule (Plan) 7. Key Stakeholders (internal and external) 8. Cross Organization Team Members 9. Risk Management 10.Links to Other Projects 11.Constraints and Assumptions 12.Completion Criteria 13.Approval.
  • 22. Scope planning Scope planning involves developing documents to clarify project scope and the basis for project decisions including criteria for phase sign-off. (How do we know when we’re done?) The key output is a scope statement. The scope statement, or statement of work, is the key document used to enunciate and confirm the scope of the project.
  • 23. Scope planning It should include the following:  Project justification (What is the business need? Why are we doing this project?)  Project products (Key products and services – e.g., minimum hardware and software requirements)  Summary of project deliverables  Scope management plan (cost, time and quality measures of success and clearly articulates both what the project will deliver and what it will not deliver) Sometimes called a Statement of Work  Scope definition – The Work Breakdown Structure.
  • 24. Scope definition  The next step in scope management is scope definition – or breaking the work down into manageable pieces. Good scope definition:  Helps improve the accuracy of time, cost and resource estimates  Defines a baseline for performance measurement and project control  Assists in communicating work responsibilities.
  • 25. The Work Breakdown Structure (WBS) A work breakdown structure (WBS) is defined as: “a deliverables oriented depiction of the work involved in a project that defines the total scope of the project”. In simple terms, it’s a detailed listing of what is required to deliver the product/service of the project. It is the “heart” or foundation of project management that provides the basis for planning and development for the project.
  • 26. WBS Rules 1. Begin with the scope statement 2. Task descriptions developed using a verb and a noun 3. Develop WBS to the lowest level of control required to effectively manage a project (Work Package – guideline 80 hours of effort) 4. Each work package is developed to accomplish a discrete and separate element of work 5. Allow assignment to a single organizational unit for exclusive responsibility
  • 27. WBS Rules 6. Organize the WBS by Task:  phase  activity  task  step. OR 7. Organize the WBS by Deliverables:  hardware  software  network.
  • 29. Work breakdown structures can be presented in many ways. A common form and the one used in project management software, such as MS Project, is a tabular form like this:
  • 30. Scope Management  Scope Creep. This is a phenomenon that often occurs in projects as a result of the best of intentions. It is the tendency for project scope to get larger and larger.  Two methods of controlling scope creep are scope verification and scope change control.  Scope verification involves documenting the project’s processes and products and getting the key stakeholders to sign off on them. In a project, this is usually accomplished through what is known as a Business Requirements Document and a Technical Specifications Document.
  • 31. Scope Management  Scope Change Control usually entails a formalized process for changing project scope wherein the implications in terms of time and cost are clearly stated. Again, key stakeholders are required to sign-off on accepted changes to the scope of the project. The best preventative measure for project scope change is doing a thorough job of requirements and specifications in the first place.
  • 32. Project time management Overall, schedule issues are one of the primary sources of conflict over the life of a project. Scope and cost can be estimated and debated. The schedule, once set, tends to be the least flexible and the most easily measured and evaluated of the three project constraints. Definition: Project Time Management involves the processes required to ensure timely completion of a project.
  • 33. Project time management These include:  Activity definition – identifying the activity or task that must be performed to produce the project deliverables (A task is an element of work that has an expected duration, cost, and resource requirements.)  Activity sequencing – identifying and documenting the relationships between project activities (particularly the order of execution).  Activity duration estimating – approximating the amount of time or number of work periods needed to complete each activity or task.  Schedule development – analyzing activity sequences, duration estimates, and resource requirements to create a workable schedule.  Schedule control – controlling and managing changes to the project schedule.
  • 34. Project time management  Activity definition usually entails developing a more detailed work breakdown structure. The project team should review this revised WBS before moving to the next step – activity sequencing. Part of activity definition includes documenting detailed product descriptions, assumptions, and constraints.  Activity sequencing looks at dependencies and relationships – does one activity need to precede another or can they be done in parallel? Three main types of dependencies:  Mandatory – ‘hard logic’ – one task cannot start until a previous task is complete (e.g., can’t test until you build)  Discretionary – ‘soft logic’ – defined by the project team (e.g., no detailed design until the analysis is signed off)  External – dependent on non-project activity (e.g., software install project can’t start until the hardware is delivered).
  • 35. Schedule development tools The key project management tools used to develop accurate and effective schedules include: Network Diagrams, Gantt charts, and Critical Path analysis.
  • 36. Network diagrams A project network diagram is a schematic display of the logical relationships among project activities or the sequencing of project activities. It is the preferred technique for showing activity sequencing.
  • 38. Network diagrams  In the above network diagram, the letters represent activities or tasks. The arrows show the sequencing, and the values associated with the letters (e.g. D=3) represent the units of time (days, weeks, etc.) associated with that task or activity.  The example diagram uses the Activity on Arrow (AOA) or Arrow Diagramming Method (ADM), in which activities are represented by arrows and are connected at points called nodes to illustrate activity sequencing. The total estimated duration of this sample project is the sum of all the numbers associated with arrows - or 25 days.
  • 39. Activity duration estimating  Duration = actual amount of time worked on an activity plus elapsed time.  (This may need to take into consideration people working only half time, waiting for some critical resource, or preceding activity).  Best estimates will likely come from the people who have to do the work, although there will be a tendency to pad their time estimates as a risk mitigation strategy.
  • 40. A Network Diagram that illustrates the Precedence Diagramming Method (PDM)
  • 41. Gantt charts A Gantt chart is a standard format for displaying project schedule information by listing project activities and their corresponding start and finish dates in calendar format. Gantt charts were developed by Henry Gantt during World War I for scheduling work in factories. Today they are usually produced by project management software.
  • 43. Gantt charts  A tracking Gantt chart is a variation of a Gantt chart that compares planned and actual project schedule information (also called total float).  The planned dates are called baseline dates.  A white diamond on a tracking Gantt indicates a slipped milestone – or a milestone activity that was completed later than originally planned.  Gantt charts are easy to create and provide a standard format for displaying planned and actual activities. However, they do not show relationships and dependencies between tasks as well as network diagrams or PERT charts do.
  • 44. Critical path analysis  Critical path analysis or the Critical Path Method (CPM) is a project network analysis technique used to predict total project duration. Within any project, there will be some tasks, which have some slack or float time associated with them. That is, if they don’t get done exactly on schedule, they won’t impact other activities or the overall completion date.  However, there are some activities, if not completed on time will impact the timing of other activities and can throw the whole project off schedule. Thus the critical path for a project is those series of activities that together determine the earliest time by which the project can be completed.
  • 45. Critical path analysis Important definitions:  Free slack – the amount of time an activity can be delayed without delaying the early start of any immediately following activity  Early start (ES) – the earliest possible time an activity can start  Total slack– the amount of time an activity can be delayed from its early start without delaying the planned project completion date  Forward pass – determine the early start and early finish dates for each activity
  • 46. Critical path analysis Important definitions:  Early finish (EF) – the earliest possible time an activity can finish = early start + duration  Backward pass – determines late start and late finish dates for each activity  Late start (LS) – latest possible time an activity can start without delaying the project completion date  Late finish (LF) – latest possible date an activity can be completed without delaying the overall project completion date.
  • 47. Techniques for shortening a project schedule  Crashing is a technique for making cost and schedule trade- offs to obtain the greatest amount of schedule compression for the least incremental cost. This involves adding more resources to a critical path item. The trade-off is a shortened project duration for higher overall project costs.  Fast tracking calls for performing activities in parallel that you would normally do sequentially or in slightly overlapping time frames (e.g., starting to program or code before all of the analysis is complete). The trade-off is shortening the project duration at the risk of having to do work over and resulting in a longer overall duration.
  • 48. PERT – Programe evaluation and review technique  PERT – a network analysis technique used to estimate project duration when there is a high degree of uncertainty about the individual duration estimates.  PERT uses probabilistic time estimates – estimates of activity duration using optimistic, most likely, and pessimistic estimates of activity duration. Thus PERT attempts to address the risk associated with duration estimates.
  • 49. PERT – Programe evaluation and review technique The basic PERT formula is as follows: PERT weighted average = optimistic time + (4X most likely time) + pessimistic time