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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