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10/16/2010




                                    Project Management                                                                     Outline
      3                                                                                 Global Company Profile: Bechtel
                                                                                        Group
                                                                                        The Importance of Project
     PowerPoint presentation to accompany                                               Management
     Heizer and Render
     Operations Management, 10e                                                         Project Planning
     Principles of Operations Management, 8e

     PowerPoint slides by Jeff Heyl
                                                                                                  The Project Manager
                                                                                                  Work Breakdown Structure
                                                                                        Project Scheduling
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                           Outline - Continued                                                  Outline - Continued

                  Project Controlling                                                  Determining the Project Schedule
                  Project Management Techniques:                                                  Forward Pass
                  PERT and CPM                                                                    Backward Pass
                             The Framework of PERT and CPM                                        Calculating Slack Time and
                                                                                                  Identifying the Critical Path(s)
                             Network Diagrams and Approaches
                             Activity-on-Node Example                                  Variability in Activity Times
                             Activity-on-Arrow Example                                            Three Time Estimates in PERT
                                                                                                  Probability of Project Completion

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                           Outline - Continued                                                 Learning Objectives
                  Cost-Time Trade-Offs and Project                          When you complete this chapter you
                  Crashing                                                  should be able to:
                  A Critique of PERT and CPM                                             1. Use a Gantt chart for scheduling
                  Using Microsoft Project to Manage                                      2. Draw AOA and AON networks
                                                                                         2 D           d       t   k
                  Projects                                                               3. Complete forward and backward
                                                                                            passes for a project
                                                                                         4. Determine a critical path



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                          Learning Objectives                                                                  Bechtel Projects
       When you complete this chapter you                                                   Building 26 massive distribution centers in just
                                                                                            two years for the internet company Webvan
       should be able to:                                                                   Group ($1 billion)
                    5. Calculate the variance of                                            Constructing 30 high-security data centers
                       activity times                                                       worldwide for Equinix, Inc. ($1.2 billion)
                                                                                            Building and running a rail line between London
                    6. Crash a project                                                      and the Channel Tunnel ($4.6 billion)
                                                                                            Developing an oil pipeline from the Caspian Sea
                                                                                            region to Russia ($850 million)
                                                                                            Expanding the Dubai Airport in the UAE ($600
                                                                                            million), and the Miami Airport in Florida ($2
                                                                                            billion)
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                                  Bechtel Projects                                             Strategic Importance of
                                                                                                Project Management
               Building liquid natural gas plants in Yemen $2
               billion) and in Trinidad, West Indies ($1 billion)                           Bechtel Project Management:
               Building a new subway for Athens, Greece ($2.6                                        Iraq war aftermath
               billion)                                                                              International workforce, construction
               Constructing a natural gas pipeline in Thailand                                       professionals, cooks, medical personnel,
               ($700 million)                                                                        security
               Building 30 plants for iMotors.com, a company                                         Millions of tons of supplies
               that sells refurbished autos online ($300 million)                           Hard Rock Cafe Rockfest Project:
               Building a highway to link the north and south of
                                                                                                     100,000 + fans
               Croatia ($303 million)
                                                                                                     planning began 9 months in advance

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                    Project Characteristics                                                         Examples of Projects

                    Single unit                                                             Building Construction

                    Many related activities
                    Difficult production planning and
                    inventory control
                    General purpose equipment
                    High labor skills
                                                                                                                                          Research Project
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                 Management of Projects                                                                                     Project Management
                                                                                                                                 Activities
       1. Planning - goal setting, defining the                                                               Planning
          project, team organization                                                                               Objectives                                                      Scheduling
                                                                                                                                                                                     Project activities
       2. Scheduling - relates people, money,                                                                      Resources
                                                                                                                                                                                     Start & end times
          and supplies to specific activities
                 pp          p                                                                                     Work break-down
                                                                                                                   structure                                                         Network
                                                                                                                                                                                     N t   k
          and activities to each other                                                                             Organization
       3. Controlling - monitors resources,
          costs, quality, and budgets; revises
          plans and shifts resources to meet
          time and cost demands
                                                                                                                         Controlling
                                                                                                                                Monitor, compare, revise, action
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            Project Planning,                                                                                  Project Planning,
        Scheduling, and Controlling                                                                        Scheduling, and Controlling




         Figure 3.1                                                                                         Figure 3.1
      Before                                                 Start of project   During                   Before                                                 Start of project               During
      project                                                   Timeline        project                  project                                                   Timeline                    project
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            Project Planning,                                                                                  Project Planning,
        Scheduling, and Controlling                                                                        Scheduling, and Controlling




         Figure 3.1                                                                                         Figure 3.1
      Before                                                 Start of project   During                   Before                                                 Start of project               During
      project                                                   Timeline        project                  project                                                   Timeline                    project
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            Project Time/cost estimates
                     Planning,
                    Budgets
                                                                                                                                                        Project Planning
        Scheduling, and Controlling
                    Engineering diagrams
                                                                  Cash flow charts
                                                                  Material availability details                                 Establishing objectives
                                                                                                                                Defining project
                                                                                   Budgets
                                                                                   Delayed activities report                    Creating work
                                                                                   Slack activities report                      breakdown structure
                                                                                                                                b   kd      t  t
                                                                                                                                Determining
 CPM/PERT
                                                                                                                                resources
 Gantt charts
 Milestone charts                                                                                                               Forming organization
 Cash flow schedules
         Figure 3.1
      Before                                                 Start of project                      During
      project                                                   Timeline                           project
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                         Project Organization                                                                                                   Project Organization
                                                                                                                                                 Works Best When
             Often temporary structure                                                                                           1. Work can be defined with a specific
                                                                                                                                    goal and deadline
             Uses specialists from entire company
                                                                                                                                 2. The job is unique or somewhat
             Headed by project manager                                                                                              unfamiliar to the existing organization
                      Coordinates activities
                      C   di t      ti iti                                                                                       3. The work contains complex
                      Monitors schedule                                                                                             interrelated tasks requiring specialized
                      and costs                                                                                                     skills
             Permanent                                                                                                           4. The project is temporary but critical to
             structure called                                                                                                       the organization
             ‘matrix organization’                                                                                               5. The project cuts across organizational
                                                                                                                                    lines
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                                A Sample Project                                                                                                  Matrix Organization
                                  Organization
                                                                                                                                                     Marketing                Operations   Engineering   Finance
                                                              President
                                                                                                                              Project 1
        Human                                                                         Quality
       Resources             Marketing           Finance               Design                    Production
                                                                                       Mgt
                                                                                                                              Project
                                                                                                                              P j t2
                      Project 1                 Project
                                                Manager
                                                                     Mechanical         Test
                                                                                                 Technician
                                                                      Engineer        Engineer                                Project 3

                      Project 2                Project
                                               Manager
                                                                      Electrical     Computer                                 Project 4
                                                                      Engineer       Engineer    Technician
   Figure 3.2

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                               The Role of                                                                                                                   The Role of
                           the Project Manager                                                                                                           the Project Manager
         Highly visible                                                                                                                Highly visible
         Responsible for making sure that:                                                                                             Responsible for making sure that: should be:
                                                                                                                                                         Project managers
              1. All necessary activities are finished in order                                                                                                   Good coaches
                                                                                                                                            1. All necessary activities are finished in order
                 and on time                                                                                                                   and on time        Good communicators
              2. The project comes in within budget                                                                                         2. The project comesAble to organize activities
                                                                                                                                                                  in within budget
              3. The project meets quality goals                                                                                            3. The project meets from a variety of disciplines
                                                                                                                                                                 quality goals
              4. The people assigned to the project receive                                                                                 4. The people assigned to the project receive
                 motivation, direction, and information                                                                                        motivation, direction, and information

© 2011 Pearson Education, Inc. publishing as Prentice Hall                                                           3 - 25   © 2011 Pearson Education, Inc. publishing as Prentice Hall          3 - 26




                                       Ethical Issues                                                                                   Work Breakdown Structure
               Project managers face many ethical
               decisions on a daily basis                                                                                               Level
               The Project Management Institute has
               established an ethical code to deal with                                                                                 1. Project
               problems such as:                                                                                                        2.
                                                                                                                                        2             Major tasks in the project
             1. Offers of gifts from contractors                                                                                        3.                 Subtasks in the major tasks
             2. Pressure to alter status reports to mask delays
                                                                                                                                        4.                       Activities (or work packages)
             3. False reports for charges of time and expenses
                                                                                                                                                                 to be completed
             4. Pressure to compromise quality to meet
                schedules

© 2011 Pearson Education, Inc. publishing as Prentice Hall                                                           3 - 27   © 2011 Pearson Education, Inc. publishing as Prentice Hall          3 - 28




          Work Breakdown Structure                                                                                                                        Project Scheduling
                                                                 Develop Windows 7
      Level 1                                                                                  1.0
                                                                  Operating System
                                                                                                                                              Identifying precedence
      Level 2
                                   Software
                                    Design            1.1
                                                                         Project
                                                                       Management      1.2
                                                                                                     System
                                                                                                     Testing      1.3                         relationships

      Level 3
                                    Develop
                                                      1.1.1              Planning      1.2.1
                                                                                                     Module
                                                                                                                  1.3.1
                                                                                                                                              Sequencing activities
                                     GUIs                                                            Testing
                                                                                                                                              Determining activity
                           Ensure Compatibility
                           with Earlier Versions             1.1.2
                                                                       Cost/Schedule
                                                                        Management     1.2.2
                                                                                                     Defect
                                                                                                     Testing      1.3.2                       times & costs
      Level 4
                              Compatible with
                                                             1.1.2.1
                                                                                                                                              Estimating material &
(Work packages)
                               Windows ME
                                                                                                                                              worker requirements
                              Compatible with
                              Windows Vista
                                                             1.1.2.2                                                                          Determining critical
                                                                                                                                              activities
                              Compatible with                                                        Figure 3.3
                               Windows XP                    1.1.2.3


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                                                                                                                                                                                                           5
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                          Purposes of Project                                                                           Scheduling Techniques
                              Scheduling
       1. Shows the relationship of each activity to                                                               1. Ensure that all activities are planned
          others and to the whole project                                                                             for
       2. Identifies the precedence relationships                                                                  2. Their order of performance is
          among activities                                                                                            accounted for
       3. Encourages the setting of realistic time                                                                 3. The activity time estimates are
          and cost estimates for each activity                                                                        recorded
       4. Helps make better use of people, money,                                                                  4. The overall project time is developed
          and material resources by identifying
          critical bottlenecks in the project

© 2011 Pearson Education, Inc. publishing as Prentice Hall                                   3 - 31   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                3 - 32




                         Project Management                                                                                   A Simple Gantt Chart
                             Techniques
                                                                 Gantt chart                                                                                               Time
                                                                                                                                                J        F         M   A     M J   J   A   S
                                                                 Critical Path Method
                                                                 (CPM)                                         Design
                                                                                                                es g
                                                                                                               Prototype
                                                                 Program Evaluation
                                                                                                               Test
                                                                 and Review
                                                                 Technique (PERT)                              Revise
                                                                                                               Production



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                    Service For a Delta Jet                                                                             Project Control Reports
                                   Deplaning
     Passengers

     Baggage
                                   Baggage claim                                                                      Detailed cost breakdowns for each task
                                   Container offload
     Fueling
                                   Pumping
                                   Engine injection water
                                                                                                                      Total program labor curves
     Cargo and mail                Container offload
     Galley servicing
                                   Main cabin door                                                                    Cost distribution tables
                                   Aft cabin door
     Lavatory servicing
     Drinking water
                                   Aft, center, forward
                                   Aft center for ard
                                   Loading
                                                                                                                      Functional cost and hour summaries
     Cabin cleaning                First-class section
                                   Economy section                                                                    Raw materials and expenditure forecasts
     Cargo and mail                Container/bulk loading
     Flight services               Galley/cabin check                                                                 Variance reports
                                   Receive passengers
     Operating crew
     Baggage
                                   Aircraft check
                                   Loading
                                                                                                                      Time analysis reports
     Passengers                    Boarding
                                                             0       10        20       30    40
                                                                                                                      Work status reports
                                                                          Time, Minutes
      Figure 3.4
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                                     PERT and CPM                                                  Six Steps PERT & CPM
                  Network techniques
                                                                                      1. Define the project and prepare the
                  Developed in 1950’s                                                    work breakdown structure
                           CPM by DuPont for chemical plants (1957)
                                                                                      2. Develop relationships among the
                           PERT by Booz, Allen & Hamilton with the
                                    Booz
                           U.S. Navy, for Polaris missile (1958)
                                                                                         activities - d id which activities
                                                                                            ti iti    decide hi h ti iti
                                                                                         must precede and which must
                  Consider precedence relationships and
                  interdependencies
                                                                                         follow others
                  Each uses a different estimate of                                   3. Draw the network connecting all of
                  activity times                                                         the activities

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                    Six Steps PERT & CPM                                                         Questions PERT & CPM
                                                                                                      Can Answer
       4. Assign time and/or cost estimates
          to each activity                                                            1. When will the entire project be
                                                                                         completed?
       5. Compute the longest time path
          through the network – thi is called
          th      h th    t k this i     ll d                                         2.
                                                                                      2 What are the critical activities or tasks in
                                                                                         the project?
          the critical path
                                                                                      3. Which are the noncritical activities?
       6. Use the network to help plan,
                                                                                      4. What is the probability the project will be
          schedule, monitor, and control the                                             completed by a specific date?
          project

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                  Questions PERT & CPM                                                    A Comparison of AON and
                       Can Answer                                                         AOA Network Conventions
                                                                                           Activity on                              Activity          Activity on
       5. Is the project on schedule, behind                                               Node (AON)                               Meaning          Arrow (AOA)
          schedule, or ahead of schedule?
                                                                                                                              A comes before
       6. Is the money spent equal to, less than, or
                      y p     q                                                 (a) A                  B            C         B, which comes
          greater than the budget?                                                                                            before C.
                                                                                                                              b f    C               A           B       C
                                                                                               A                                                          A
       7. Are there enough resources available to                                                                             A and B must both
          finish the project on time?                                           (b)                         C                 be completed
                                                                                                                              before C can start.                    C
                                                                                               B                                                          B
       8. If the project must be finished in a shorter
                                                                                                            B
          time, what is the way to accomplish this                                                                            B and C cannot
          at least cost?                                                        (c)            A                              begin until A is                       B
                                                                                                                              completed.                 A
                                                                                                            C                                                        C
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                                                                                                                                                                                       7
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           A Comparison of AON and                                                                                  A Comparison of AON and
           AOA Network Conventions                                                                                  AOA Network Conventions
            Activity on                              Activity         Activity on                                    Activity on                              Activity          Activity on
            Node (AON)                               Meaning         Arrow (AOA)                                     Node (AON)                               Meaning          Arrow (AOA)

                                               C and D cannot
            A                    C             begin until both
                                                 g                       A         C                                                                     B and C cannot
                                                                                                                                                         begin until A is
 (d)                                           A and B are                                                                                               completed. D
            B                    D
                                               completed.                                                            A            B           D          cannot begin             A        B       D
                                                                         B         D
                                                                                                                                                         until both B and
                                                                                                           (f)                                           C are completed.     Dummy
                                               C cannot begin                                                                                            A dummy                               C
                                                                                                                                 C                                            activity
                                               until both A and B                                                                                        activity is again
            A                    C             are completed; D         A          C                                                                     introduced in
 (e)                                           cannot begin until                 Dummy activity                                                         AOA.
                                               B is completed. A
            B                    D             dummy activity is
                                               introduced in AOA.
                                                                        B          D
© 2011 Pearson Education, Inc. publishing as Prentice Hall          Figure 3.5                  3 - 43   © 2011 Pearson Education, Inc. publishing as Prentice Hall           Figure 3.5                 3 - 44




                                          AON Example                                                                                     AON Network for
   Milwaukee Paper Manufacturing's                                                                                                        Milwaukee Paper
   Activities and Predecessors
                                                                                  Immediate
    Activity                   Description                                       Predecessors
       A                       Build internal components                              —                                                                     Activity A
                                                                                                                                    A
          B                    Modify roof and floor
                                    y                                                  —                                                          (Build Internal Components)
          C                    Construct collection stack                               A
          D                    Pour concrete and install frame                         A, B                      Start
          E                    Build high-temperature burner                            C
           F                   Install pollution control system                         C                                                                Activity B
                                                                                                            Start                   B
          G                    Install air pollution device                            D, E                                                       (Modify Roof and Floor)
                                                                                                           Activity
          H                    Inspect and test                                        F, G
                                                                                    Table 3.1                                                                                                  Figure 3.6
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                                 AON Network for                                                                                          AON Network for
                                 Milwaukee Paper                                                                                          Milwaukee Paper
                            Activity A Precedes Activity C
                                                                                                                                                                                  F
                           A                                 C                                                                      A                                 C

                                                                                                                                                                          E
       Start                                                                                                     Start                                                                              H


                           B                                 D                                                                      B                                 D           G

                                  Activities A and B                                                                                           Arrows Show Precedence
                                  Precede Activity D                                   Figure 3.7                                                   Relationships                                  Figure 3.8
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                                 AOA Network for                                                                               Determining the Project
                                 Milwaukee Paper                                                                                     Schedule
                                                                                                                Perform a Critical Path Analysis
                                                 C
                                        2               4
                                             (Construct                                                                    The critical path is the longest path
                                               Stack)
                                                                                                                           through the network
                                                                                                                           The critical path is the shortest time in
            1                                 Dummy                    6
                                                                               H
                                                                                        7                                  which the project can be completed
                                              Activity                     (Inspect/
                                                                             Test)                                         Any delay in critical path activities
                                                                                                                           delays the project
                                        3
                                                   D
                                                           5                                                               Critical path activities have no slack
                                                (Pour
                                              Concrete/                                                                    time
                                            Install Frame)                             Figure 3.9
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                       Determining the Project                                                                                 Determining the Project
                             Schedule                                                                                                Schedule
        Perform a Critical Path Analysis                                                                        Perform a Critical Path Analysis
             Activity             Description                      Time (weeks)
                                                                                                                      Earliest start (ES) = earliest time at which an activity can
               A                  Build internal components              2                                                Activity Description assuming all predecessors(weeks)
                                                                                                                                              start,                      Time have
               B                  Modify roof and floor                  3                                                   A        Build internal components
                                                                                                                                                           p
                                                                                                                                              been completed                     2
               C                  Construct collection stack             2                                           EarliestB        Modify roof and floor                      3
                                                                                                                              finish (EF) = earliest time at which an activity can
               D                  Pour concrete and install frame        4                                                   C                be finished
                                                                                                                                      Construct collection stack                 2
               E                  Build high-temperature burner          4                                             Latest start (LS) =concrete and install frame
                                                                                                                             D        Pour latest time at which an activity can  4
                F                 Install pollution control system       3                                                   E        Build high-temperature delay the completion
                                                                                                                                              start so as to not burner          4
               G                  Install air pollution device           5                                                   F        Install time of the entire project
                                                                                                                                               pollution control system          3
               H                  Inspect and test                       2                                            Latest finish (LF) = latest time bydevice an activity has to
                                                                                                                             G        Install air pollution which                5
                                                                                                                                              be finished so as to not delay the
                                  Total Time (weeks)                    25                                                   H        Inspect and test                           2
                                                                                                                                              completion time of the entire project
                                                                                                                                      Total Time (weeks)                        25
                                                                                       Table 3.2                                                                           Table 3.2
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                       Determining the Project                                                                                                  Forward Pass
                             Schedule
                                                                                                                Begin at starting event and work forward
        Perform a Critical Path Analysis
                       Activity Name                                                                            Earliest Start Time Rule:
                        or Symbol
                                                                                                                                If an activity has only a single immediate
                                                             A             Earliest                                             predecessor, its ES equals the EF of the
                                                                                                                                    d           it         l th      f th
                  Earliest                       ES               EF       Finish                                               predecessor
                   Start
                                                                                                                                If an activity has multiple immediate
                                                                                                                                predecessors, its ES is the maximum of
                 Latest                          LS               LF       Latest                                               all the EF values of its predecessors
                  Start                                      2             Finish
                                                                                                                        ES = Max {EF of all immediate predecessors}
   Figure 3.10                                                   Activity Duration
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                                        Forward Pass                                                                          ES/EF Network for
                                                                                                                              Milwaukee Paper
         Begin at starting event and work forward
         Earliest Finish Time Rule:                                                                      ES                                                      EF = ES + Activity time
                        The earliest finish time (EF) of an activity                                                                Start
                        is th
                        i the sum of its earliest start ti
                                     f it     li t t t time (ES)                                                         0                           0
                        and its activity time

                                                                                                                                        0
                                           EF = ES + Activity time



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                              ES/EF Network for                                                                               ES/EF Network for
                              Milwaukee Paper                                                                                 Milwaukee Paper
                                                                         EF of A =                                            A
                               ES                                        ES of A + 2                                    0             2
                               of A
                                                                 A                                                             2                                                         EF of B =
                                                      0              2                                                                      ES                                           ES of B + 3
     0
          Start
                    0                                                                                0
                                                                                                          Start
                                                                                                                    0                       of B
                                                                                                                                                                         B
             0                                                                                               0                                                   0               3
                                                                 2

                                                                                                                                                                         3
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                              ES/EF Network for                                                                               ES/EF Network for
                              Milwaukee Paper                                                                                 Milwaukee Paper
                              A                              C                                                                A                              C
                        0             2                2         4                                                      0             2                2             4

                               2                             2                                                                 2                             2

          Start                                                                                           Start
     0              0                                                                                0              0
                                                                                                                                   = Max (2, 3)                                      D
             0                                                                                               0
                                                                                                                                                                             3              7
                               B                                                                                               B
                        0             3                                                                                 0             3

                               3                                                                                               3
                                                                                                                                                                                     4
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                                                                                                                                                                                                            10
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                              ES/EF Network for                                                                                               ES/EF Network for
                              Milwaukee Paper                                                                                                 Milwaukee Paper
                              A                              C                                                                                A                              C                        F
                        0             2                2         4                                                                      0             2                2         4               4        7

                               2                             2                                                                                 2                             2                        3

          Start                                                                                                           Start                                                          E                          H
     0              0                                                                                                0              0                                                4       8                 13       15

             0                                                                                                               0                                                           4                          2

                               B                             D                                                                                 B                             D                        G
                        0             3                 3        7                                                                      0             3                 3        7               8        13

                               3                             4                                                                                 3                             4                        5
                                                                                                                                                                                                               Figure 3.11
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                                    Backward Pass                                                                                                   Backward Pass
         Begin with the last event and work backwards                                                                    Begin with the last event and work backwards

         Latest Finish Time Rule:                                                                                        Latest Start Time Rule:

                     If an activity is an immediate predecessor                                                                      The latest start time (LS) of an activity is
                     for just
                     f j t a single activity, its LF equals the
                                  i l      ti it it       l th                                                                       the diff
                                                                                                                                     th difference of it l t t finish time (LF)
                                                                                                                                                       f its latest fi i h ti
                     LS of the activity that immediately follows it                                                                  and its activity time
                     If an activity is an immediate predecessor
                     to more than one activity, its LF is the
                     minimum of all LS values of all activities                                                                                           LS = LF – Activity time
                     that immediately follow it
           LF = Min {LS of all immediate following activities}

© 2011 Pearson Education, Inc. publishing as Prentice Hall                                             3 - 63   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                               3 - 64




                                 LS/LF Times for                                                                                                 LS/LF Times for
                                 Milwaukee Paper                                                                                                 Milwaukee Paper
                              A                              C                       F                                                        A                              C                        F
                        0             2                2         4               4       7                                              0             2                2         4               4        7

                                                                                                                                                                                                 10       13
                               2                             2                       3                                                         2                             2                        3

          Start                                                          E                         H                      Start                                                          E                          H
     0              0                                                                                                0              0
                                                                     4       8                13       15                                                                      LF = Min(LS of
                                                                                                                                                                                  4     8                      13       15
                                                                                              13       15                                                                    following activity)               13       15
             0                                                           4                         2                         0                                                           4                          2

                               B             LS = LF – Activity time
                                                   D               G                                                                           B                             D                        G
                        0             3                 3        7               8       13                                             0             3                 3        7               8        13

                               3                             4                       5    LF = EF                                              3                             4                        5
                                                                                         of Project
© 2011 Pearson Education, Inc. publishing as Prentice Hall                                             3 - 65   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                               3 - 66




                                                                                                                                                                                                                                  11
10/16/2010




                                 LS/LF Times for                                                                                                   LS/LF Times for
                                 Milwaukee Paper
                                      LF = Min(4, 10)
                                                                                                                                                   Milwaukee Paper
                              A                              C                         F                                                        A                                  C                              F
                        0             2                2          4               4        7                                              0             2                 2             4                    4            7

                                                       2          4               10       13                                             0             2                 2             4                10               13
                               2                             2                         3                                                         2                                 2                              3

          Start                                                           E                          H                      Start                                                               E                                    H
     0              0                                                 4       8                 13       15            0              0                                                     4        8                         13          15
                                                                      4       8                 13       15            0              0                                                     4        8                         13          15
             0                                                            4                          2                         0                                                                4                                    2

                               B                             D                         G                                                         B                                 D                              G
                        0             3                 3         7               8        13                                             0             3                 3             7                    8            13
                                                                                  8        13                                             1             4                 4             8                    8            13
                               3                             4                         5                                                         3                                 4                              5


© 2011 Pearson Education, Inc. publishing as Prentice Hall                                               3 - 67   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                                               3 - 68




                    Computing Slack Time                                                                                              Computing Slack Time
         After computing the ES, EF, LS, and LF times                                                                            Earliest Earliest
                                                                                                                                  Start   Finish
                                                                                                                                                                                   Latest
                                                                                                                                                                                    Start
                                                                                                                                                                                                Latest
                                                                                                                                                                                                Finish            Slack
                                                                                                                                                                                                                                 On
                                                                                                                                                                                                                               Critical
         for all activities, compute the slack or free                                                                  Activity   ES       EF                                       LS           LF             LS – ES        Path
         time for each activity
                                                                                                                             A                 0                 2                      0            2                0             Yes
                                                                                                                             B                 0                 3                      1            4                1              No
                     Slack is the length of time an activity can                                                             C                 2                 4                      2            4                0             Yes
                     be delayed without delaying the entire                                                                  D                 3                 7                      4            8                1              No
                     project
                                                                                                                             E                 4                 8                      4            8                0             Yes
                                                                                                                             F                 4                 7                     10           13                6              No
                        Slack = LS – ES                          or       Slack = LF – EF                                    G                 8                13                      8           13                0             Yes
                                                                                                                             H                13                15                     13           15                0             Yes

                                                                                                                                                                                                                               Table 3.3
© 2011 Pearson Education, Inc. publishing as Prentice Hall                                               3 - 69   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                                               3 - 70




                                 Critical Path for                                                                                         ES – EF Gantt Chart
                                 Milwaukee Paper                                                                                           for Milwaukee Paper
                                                                                                                                                                1     2        3   4    5   6   7    8   9   10 11 12 13 14 15 16
                              A                              C                         F
                        0             2                2          4               4        7                         A Build internal
                                                                                                                       components
                        0             2                2          4               10       13
                               2                             2                         3                             B Modify roof and floor
                                                                                                                     C Construct collection
          Start                                                           E                          H                 stack
     0              0                                                 4       8                 13       15
                                                                                                                     D Pour concrete and
                                                                                                13       15            install frame
     0              0                                                 4       8
             0                                                            4                          2               E Build high-
                                                                                                                       temperature burner
                               B                             D                         G                             F Install pollution
                        0             3                 3         7               8        13                          control system
                        1             4                 4         8               8        13                        G Install air pollution
                               3                             4                         5                               device
                                                                                                                     H Inspect and test

© 2011 Pearson Education, Inc. publishing as Prentice Hall                                               3 - 71   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                                               3 - 72




                                                                                                                                                                                                                                                    12
10/16/2010




                            LS – LF Gantt Chart                                                                                 Variability in Activity Times
                            for Milwaukee Paper
                                              1     2        3   4   5   6   7   8   9   10 11 12 13 14 15 16
                                                                                                                                      CPM assumes we know a fixed time
   A Build internal
     components                                                                                                                       estimate for each activity and there
   B Modify roof and floor
   C Construct collection
                                                                                                                                      is no variability in activity times
     stack
   D Pour concrete and                                                                                                                PERT uses a probability distribution
     install frame
   E Build high-
                                                                                                                                      for activity times to allow for
     temperature burner                                                                                                               variability
   F Install pollution
     control system
   G Install air pollution
     device
   H Inspect and test

© 2011 Pearson Education, Inc. publishing as Prentice Hall                                                   3 - 73   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                                  3 - 74




          Variability in Activity Times                                                                                         Variability in Activity Times
                                                                                                                            Estimate follows beta distribution
                         Three time estimates are required
                                                                                                                            Expected time:
                            Optimistic time (a) – if everything                                                                        t = (a + 4m + b)/6
                            g
                            goes according to plan
                                          g p
                                                                                                                            Variance of times:
                                                                                                                            V i       f ti
                            Pessimistic time (b) – assuming very
                            unfavorable conditions                                                                                        v = [(b – a)/6]2
                            Most likely time (m) – most realistic
                            estimate


© 2011 Pearson Education, Inc. publishing as Prentice Hall                                                   3 - 75   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                                  3 - 76




          Variability in Activity Times                                                                                                        Computing Variance
                                                                                                                                                                   Most                            Expected
      Estimate follows beta distribution                                                                                                  Optimistic               Likely          Pessimistic       Time              Variance
                                                                                                                        Activity                   a                   m               b         t = (a + 4m + b)/6    [(b – a)/6]2
      Expected time:                                Figure 3.12
                                                                                                                             A                     1                   2               3                  2               .11
                      t = (a + 4m + b)/6                                                                                     B                     2                   3               4                  3               .11
      Variance of ti
      V i Probabilityfoftimes:
          1 in 100
                   of                    Probability
                                                                                                                             C                     1                   2               3                  2               .11
           Probability




          < a occurring v = [(b − a)/6]2 of 1 in 100 of
                             [(b                                                                                             D                     2                   4               6                  4               .44
                                         > b occurring
                                                                                                                             E                     1                   4               7                  4              1.00
                                                                                                                             F                     1                   2               9                  3              1.78
                                                                                                  Activity                   G                     3                   4              11                  5              1.78
                                                                                                   Time
                                                                                                                             H                     1                   2               3                  2               .11
                           Optimistic               Most Likely                             Pessimistic
                            Time (a)                 Time (m)                                Time (b)                                                                                                                 Table 3.4
© 2011 Pearson Education, Inc. publishing as Prentice Hall                                                   3 - 77   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                                  3 - 78




                                                                                                                                                                                                                                           13
10/16/2010




                        Probability of Project                                                                                Probability of Project
                            Completion                                                                                            Completion
               Project variance is computed by                                                                       Project variance is computed by
               summing the variances of critical                                                                     summing the variances of critical
               activities                                                                                             Project variance
                                                                                                                     activities
                                                                                                                        σ2 = .11 + .11 + 1.00 + 1.78 + .11 = 3 11
                                                                                                                              11 11 1 00 1 78 11 3.11
                             σp = Project variance
                              2                                                                                          p


                                      = ∑(variances of activities
                                          on critical path)                                                             Project standard deviation
                                                                                                                        σp =               Project variance
                                                                                                                                 =         3.11 = 1.76 weeks

© 2011 Pearson Education, Inc. publishing as Prentice Hall                                   3 - 79   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                     3 - 80




                        Probability of Project                                                                                Probability of Project
                            Completion                                                                                            Completion
          PERT makes two more assumptions:                                                                                                              Standard deviation = 1.76 weeks


                  Total project completion times follow a
                  normal probability distribution
                  Activity times are statistically
                  independent

                                                                                                                                                                   15 Weeks
                                                                                                                                                (Expected Completion Time)
                                                                                                                 Figure 3.13

© 2011 Pearson Education, Inc. publishing as Prentice Hall                                   3 - 81   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                     3 - 82




                        Probability of Project                                                                               Probability of Project
                            Completion                                                                                                Completion
                                                                                                                             From Appendix I
      What is the probability this project can                                                              What is the probability this project can
                                                                                                                          .00    .01       .07    .08
      be completed on or before the 16 week                                                                 be completed on or before the 16 week
                                                                                                                     .1 .50000 .50399    .52790 .53188
      deadline?                                                                                             deadline? .53983 .54380
                                                                                                                     .2                  .56749 .57142

                                    Z = due – expected date /σp                                                                      .5     = due − expected date /σp
                                                                                                                                          Z.69146 .69497   .71566 .71904
                                              date           of completion                                                                          date            of completion
                                                                                                                                     .6      .72575            .72907         .74857   .75175
                                        = (16 wks – 15 wks)/1.76                                                                              = (16 wks − 15 wks)/1.76

                                        = 0.57                 Where Z is the number of                                                       = 0.57                   Where Z is the number of
                                                             standard deviations the due                                                                             standard deviations the due
                                                             date or target date lies from                                                                           date or target date lies from
                                                              the mean or expected date                                                                               the mean or expected date
© 2011 Pearson Education, Inc. publishing as Prentice Hall                                   3 - 83   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                     3 - 84




                                                                                                                                                                                                              14
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Heizer om10 ch03

  • 1. 10/16/2010 Project Management Outline 3 Global Company Profile: Bechtel Group The Importance of Project PowerPoint presentation to accompany Management Heizer and Render Operations Management, 10e Project Planning Principles of Operations Management, 8e PowerPoint slides by Jeff Heyl The Project Manager Work Breakdown Structure Project Scheduling © 2011 Pearson Education, Inc. publishing as Prentice Hall 3-1 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3-2 Outline - Continued Outline - Continued Project Controlling Determining the Project Schedule Project Management Techniques: Forward Pass PERT and CPM Backward Pass The Framework of PERT and CPM Calculating Slack Time and Identifying the Critical Path(s) Network Diagrams and Approaches Activity-on-Node Example Variability in Activity Times Activity-on-Arrow Example Three Time Estimates in PERT Probability of Project Completion © 2011 Pearson Education, Inc. publishing as Prentice Hall 3-3 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3-4 Outline - Continued Learning Objectives Cost-Time Trade-Offs and Project When you complete this chapter you Crashing should be able to: A Critique of PERT and CPM 1. Use a Gantt chart for scheduling Using Microsoft Project to Manage 2. Draw AOA and AON networks 2 D d t k Projects 3. Complete forward and backward passes for a project 4. Determine a critical path © 2011 Pearson Education, Inc. publishing as Prentice Hall 3-5 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3-6 1
  • 2. 10/16/2010 Learning Objectives Bechtel Projects When you complete this chapter you Building 26 massive distribution centers in just two years for the internet company Webvan should be able to: Group ($1 billion) 5. Calculate the variance of Constructing 30 high-security data centers activity times worldwide for Equinix, Inc. ($1.2 billion) Building and running a rail line between London 6. Crash a project and the Channel Tunnel ($4.6 billion) Developing an oil pipeline from the Caspian Sea region to Russia ($850 million) Expanding the Dubai Airport in the UAE ($600 million), and the Miami Airport in Florida ($2 billion) © 2011 Pearson Education, Inc. publishing as Prentice Hall 3-7 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3-8 Bechtel Projects Strategic Importance of Project Management Building liquid natural gas plants in Yemen $2 billion) and in Trinidad, West Indies ($1 billion) Bechtel Project Management: Building a new subway for Athens, Greece ($2.6 Iraq war aftermath billion) International workforce, construction Constructing a natural gas pipeline in Thailand professionals, cooks, medical personnel, ($700 million) security Building 30 plants for iMotors.com, a company Millions of tons of supplies that sells refurbished autos online ($300 million) Hard Rock Cafe Rockfest Project: Building a highway to link the north and south of 100,000 + fans Croatia ($303 million) planning began 9 months in advance © 2011 Pearson Education, Inc. publishing as Prentice Hall 3-9 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 10 Project Characteristics Examples of Projects Single unit Building Construction Many related activities Difficult production planning and inventory control General purpose equipment High labor skills Research Project © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 11 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 12 2
  • 3. 10/16/2010 Management of Projects Project Management Activities 1. Planning - goal setting, defining the Planning project, team organization Objectives Scheduling Project activities 2. Scheduling - relates people, money, Resources Start & end times and supplies to specific activities pp p Work break-down structure Network N t k and activities to each other Organization 3. Controlling - monitors resources, costs, quality, and budgets; revises plans and shifts resources to meet time and cost demands Controlling Monitor, compare, revise, action © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 13 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 14 Project Planning, Project Planning, Scheduling, and Controlling Scheduling, and Controlling Figure 3.1 Figure 3.1 Before Start of project During Before Start of project During project Timeline project project Timeline project © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 15 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 16 Project Planning, Project Planning, Scheduling, and Controlling Scheduling, and Controlling Figure 3.1 Figure 3.1 Before Start of project During Before Start of project During project Timeline project project Timeline project © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 17 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 18 3
  • 4. 10/16/2010 Project Time/cost estimates Planning, Budgets Project Planning Scheduling, and Controlling Engineering diagrams Cash flow charts Material availability details Establishing objectives Defining project Budgets Delayed activities report Creating work Slack activities report breakdown structure b kd t t Determining CPM/PERT resources Gantt charts Milestone charts Forming organization Cash flow schedules Figure 3.1 Before Start of project During project Timeline project © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 19 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 20 Project Organization Project Organization Works Best When Often temporary structure 1. Work can be defined with a specific goal and deadline Uses specialists from entire company 2. The job is unique or somewhat Headed by project manager unfamiliar to the existing organization Coordinates activities C di t ti iti 3. The work contains complex Monitors schedule interrelated tasks requiring specialized and costs skills Permanent 4. The project is temporary but critical to structure called the organization ‘matrix organization’ 5. The project cuts across organizational lines © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 21 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 22 A Sample Project Matrix Organization Organization Marketing Operations Engineering Finance President Project 1 Human Quality Resources Marketing Finance Design Production Mgt Project P j t2 Project 1 Project Manager Mechanical Test Technician Engineer Engineer Project 3 Project 2 Project Manager Electrical Computer Project 4 Engineer Engineer Technician Figure 3.2 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 23 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 24 4
  • 5. 10/16/2010 The Role of The Role of the Project Manager the Project Manager Highly visible Highly visible Responsible for making sure that: Responsible for making sure that: should be: Project managers 1. All necessary activities are finished in order Good coaches 1. All necessary activities are finished in order and on time and on time Good communicators 2. The project comes in within budget 2. The project comesAble to organize activities in within budget 3. The project meets quality goals 3. The project meets from a variety of disciplines quality goals 4. The people assigned to the project receive 4. The people assigned to the project receive motivation, direction, and information motivation, direction, and information © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 25 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 26 Ethical Issues Work Breakdown Structure Project managers face many ethical decisions on a daily basis Level The Project Management Institute has established an ethical code to deal with 1. Project problems such as: 2. 2 Major tasks in the project 1. Offers of gifts from contractors 3. Subtasks in the major tasks 2. Pressure to alter status reports to mask delays 4. Activities (or work packages) 3. False reports for charges of time and expenses to be completed 4. Pressure to compromise quality to meet schedules © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 27 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 28 Work Breakdown Structure Project Scheduling Develop Windows 7 Level 1 1.0 Operating System Identifying precedence Level 2 Software Design 1.1 Project Management 1.2 System Testing 1.3 relationships Level 3 Develop 1.1.1 Planning 1.2.1 Module 1.3.1 Sequencing activities GUIs Testing Determining activity Ensure Compatibility with Earlier Versions 1.1.2 Cost/Schedule Management 1.2.2 Defect Testing 1.3.2 times & costs Level 4 Compatible with 1.1.2.1 Estimating material & (Work packages) Windows ME worker requirements Compatible with Windows Vista 1.1.2.2 Determining critical activities Compatible with Figure 3.3 Windows XP 1.1.2.3 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 29 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 30 5
  • 6. 10/16/2010 Purposes of Project Scheduling Techniques Scheduling 1. Shows the relationship of each activity to 1. Ensure that all activities are planned others and to the whole project for 2. Identifies the precedence relationships 2. Their order of performance is among activities accounted for 3. Encourages the setting of realistic time 3. The activity time estimates are and cost estimates for each activity recorded 4. Helps make better use of people, money, 4. The overall project time is developed and material resources by identifying critical bottlenecks in the project © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 31 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 32 Project Management A Simple Gantt Chart Techniques Gantt chart Time J F M A M J J A S Critical Path Method (CPM) Design es g Prototype Program Evaluation Test and Review Technique (PERT) Revise Production © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 33 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 34 Service For a Delta Jet Project Control Reports Deplaning Passengers Baggage Baggage claim Detailed cost breakdowns for each task Container offload Fueling Pumping Engine injection water Total program labor curves Cargo and mail Container offload Galley servicing Main cabin door Cost distribution tables Aft cabin door Lavatory servicing Drinking water Aft, center, forward Aft center for ard Loading Functional cost and hour summaries Cabin cleaning First-class section Economy section Raw materials and expenditure forecasts Cargo and mail Container/bulk loading Flight services Galley/cabin check Variance reports Receive passengers Operating crew Baggage Aircraft check Loading Time analysis reports Passengers Boarding 0 10 20 30 40 Work status reports Time, Minutes Figure 3.4 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 35 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 36 6
  • 7. 10/16/2010 PERT and CPM Six Steps PERT & CPM Network techniques 1. Define the project and prepare the Developed in 1950’s work breakdown structure CPM by DuPont for chemical plants (1957) 2. Develop relationships among the PERT by Booz, Allen & Hamilton with the Booz U.S. Navy, for Polaris missile (1958) activities - d id which activities ti iti decide hi h ti iti must precede and which must Consider precedence relationships and interdependencies follow others Each uses a different estimate of 3. Draw the network connecting all of activity times the activities © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 37 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 38 Six Steps PERT & CPM Questions PERT & CPM Can Answer 4. Assign time and/or cost estimates to each activity 1. When will the entire project be completed? 5. Compute the longest time path through the network – thi is called th h th t k this i ll d 2. 2 What are the critical activities or tasks in the project? the critical path 3. Which are the noncritical activities? 6. Use the network to help plan, 4. What is the probability the project will be schedule, monitor, and control the completed by a specific date? project © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 39 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 40 Questions PERT & CPM A Comparison of AON and Can Answer AOA Network Conventions Activity on Activity Activity on 5. Is the project on schedule, behind Node (AON) Meaning Arrow (AOA) schedule, or ahead of schedule? A comes before 6. Is the money spent equal to, less than, or y p q (a) A B C B, which comes greater than the budget? before C. b f C A B C A A 7. Are there enough resources available to A and B must both finish the project on time? (b) C be completed before C can start. C B B 8. If the project must be finished in a shorter B time, what is the way to accomplish this B and C cannot at least cost? (c) A begin until A is B completed. A C C © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 41 © 2011 Pearson Education, Inc. publishing as Prentice Hall Figure 3.5 3 - 42 7
  • 8. 10/16/2010 A Comparison of AON and A Comparison of AON and AOA Network Conventions AOA Network Conventions Activity on Activity Activity on Activity on Activity Activity on Node (AON) Meaning Arrow (AOA) Node (AON) Meaning Arrow (AOA) C and D cannot A C begin until both g A C B and C cannot begin until A is (d) A and B are completed. D B D completed. A B D cannot begin A B D B D until both B and (f) C are completed. Dummy C cannot begin A dummy C C activity until both A and B activity is again A C are completed; D A C introduced in (e) cannot begin until Dummy activity AOA. B is completed. A B D dummy activity is introduced in AOA. B D © 2011 Pearson Education, Inc. publishing as Prentice Hall Figure 3.5 3 - 43 © 2011 Pearson Education, Inc. publishing as Prentice Hall Figure 3.5 3 - 44 AON Example AON Network for Milwaukee Paper Manufacturing's Milwaukee Paper Activities and Predecessors Immediate Activity Description Predecessors A Build internal components — Activity A A B Modify roof and floor y — (Build Internal Components) C Construct collection stack A D Pour concrete and install frame A, B Start E Build high-temperature burner C F Install pollution control system C Activity B Start B G Install air pollution device D, E (Modify Roof and Floor) Activity H Inspect and test F, G Table 3.1 Figure 3.6 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 45 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 46 AON Network for AON Network for Milwaukee Paper Milwaukee Paper Activity A Precedes Activity C F A C A C E Start Start H B D B D G Activities A and B Arrows Show Precedence Precede Activity D Figure 3.7 Relationships Figure 3.8 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 47 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 48 8
  • 9. 10/16/2010 AOA Network for Determining the Project Milwaukee Paper Schedule Perform a Critical Path Analysis C 2 4 (Construct The critical path is the longest path Stack) through the network The critical path is the shortest time in 1 Dummy 6 H 7 which the project can be completed Activity (Inspect/ Test) Any delay in critical path activities delays the project 3 D 5 Critical path activities have no slack (Pour Concrete/ time Install Frame) Figure 3.9 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 49 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 50 Determining the Project Determining the Project Schedule Schedule Perform a Critical Path Analysis Perform a Critical Path Analysis Activity Description Time (weeks) Earliest start (ES) = earliest time at which an activity can A Build internal components 2 Activity Description assuming all predecessors(weeks) start, Time have B Modify roof and floor 3 A Build internal components p been completed 2 C Construct collection stack 2 EarliestB Modify roof and floor 3 finish (EF) = earliest time at which an activity can D Pour concrete and install frame 4 C be finished Construct collection stack 2 E Build high-temperature burner 4 Latest start (LS) =concrete and install frame D Pour latest time at which an activity can 4 F Install pollution control system 3 E Build high-temperature delay the completion start so as to not burner 4 G Install air pollution device 5 F Install time of the entire project pollution control system 3 H Inspect and test 2 Latest finish (LF) = latest time bydevice an activity has to G Install air pollution which 5 be finished so as to not delay the Total Time (weeks) 25 H Inspect and test 2 completion time of the entire project Total Time (weeks) 25 Table 3.2 Table 3.2 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 51 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 52 Determining the Project Forward Pass Schedule Begin at starting event and work forward Perform a Critical Path Analysis Activity Name Earliest Start Time Rule: or Symbol If an activity has only a single immediate A Earliest predecessor, its ES equals the EF of the d it l th f th Earliest ES EF Finish predecessor Start If an activity has multiple immediate predecessors, its ES is the maximum of Latest LS LF Latest all the EF values of its predecessors Start 2 Finish ES = Max {EF of all immediate predecessors} Figure 3.10 Activity Duration © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 53 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 54 9
  • 10. 10/16/2010 Forward Pass ES/EF Network for Milwaukee Paper Begin at starting event and work forward Earliest Finish Time Rule: ES EF = ES + Activity time The earliest finish time (EF) of an activity Start is th i the sum of its earliest start ti f it li t t t time (ES) 0 0 and its activity time 0 EF = ES + Activity time © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 55 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 56 ES/EF Network for ES/EF Network for Milwaukee Paper Milwaukee Paper EF of A = A ES ES of A + 2 0 2 of A A 2 EF of B = 0 2 ES ES of B + 3 0 Start 0 0 Start 0 of B B 0 0 0 3 2 3 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 57 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 58 ES/EF Network for ES/EF Network for Milwaukee Paper Milwaukee Paper A C A C 0 2 2 4 0 2 2 4 2 2 2 2 Start Start 0 0 0 0 = Max (2, 3) D 0 0 3 7 B B 0 3 0 3 3 3 4 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 59 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 60 10
  • 11. 10/16/2010 ES/EF Network for ES/EF Network for Milwaukee Paper Milwaukee Paper A C A C F 0 2 2 4 0 2 2 4 4 7 2 2 2 2 3 Start Start E H 0 0 0 0 4 8 13 15 0 0 4 2 B D B D G 0 3 3 7 0 3 3 7 8 13 3 4 3 4 5 Figure 3.11 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 61 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 62 Backward Pass Backward Pass Begin with the last event and work backwards Begin with the last event and work backwards Latest Finish Time Rule: Latest Start Time Rule: If an activity is an immediate predecessor The latest start time (LS) of an activity is for just f j t a single activity, its LF equals the i l ti it it l th the diff th difference of it l t t finish time (LF) f its latest fi i h ti LS of the activity that immediately follows it and its activity time If an activity is an immediate predecessor to more than one activity, its LF is the minimum of all LS values of all activities LS = LF – Activity time that immediately follow it LF = Min {LS of all immediate following activities} © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 63 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 64 LS/LF Times for LS/LF Times for Milwaukee Paper Milwaukee Paper A C F A C F 0 2 2 4 4 7 0 2 2 4 4 7 10 13 2 2 3 2 2 3 Start E H Start E H 0 0 0 0 4 8 13 15 LF = Min(LS of 4 8 13 15 13 15 following activity) 13 15 0 4 2 0 4 2 B LS = LF – Activity time D G B D G 0 3 3 7 8 13 0 3 3 7 8 13 3 4 5 LF = EF 3 4 5 of Project © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 65 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 66 11
  • 12. 10/16/2010 LS/LF Times for LS/LF Times for Milwaukee Paper LF = Min(4, 10) Milwaukee Paper A C F A C F 0 2 2 4 4 7 0 2 2 4 4 7 2 4 10 13 0 2 2 4 10 13 2 2 3 2 2 3 Start E H Start E H 0 0 4 8 13 15 0 0 4 8 13 15 4 8 13 15 0 0 4 8 13 15 0 4 2 0 4 2 B D G B D G 0 3 3 7 8 13 0 3 3 7 8 13 8 13 1 4 4 8 8 13 3 4 5 3 4 5 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 67 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 68 Computing Slack Time Computing Slack Time After computing the ES, EF, LS, and LF times Earliest Earliest Start Finish Latest Start Latest Finish Slack On Critical for all activities, compute the slack or free Activity ES EF LS LF LS – ES Path time for each activity A 0 2 0 2 0 Yes B 0 3 1 4 1 No Slack is the length of time an activity can C 2 4 2 4 0 Yes be delayed without delaying the entire D 3 7 4 8 1 No project E 4 8 4 8 0 Yes F 4 7 10 13 6 No Slack = LS – ES or Slack = LF – EF G 8 13 8 13 0 Yes H 13 15 13 15 0 Yes Table 3.3 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 69 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 70 Critical Path for ES – EF Gantt Chart Milwaukee Paper for Milwaukee Paper 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 A C F 0 2 2 4 4 7 A Build internal components 0 2 2 4 10 13 2 2 3 B Modify roof and floor C Construct collection Start E H stack 0 0 4 8 13 15 D Pour concrete and 13 15 install frame 0 0 4 8 0 4 2 E Build high- temperature burner B D G F Install pollution 0 3 3 7 8 13 control system 1 4 4 8 8 13 G Install air pollution 3 4 5 device H Inspect and test © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 71 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 72 12
  • 13. 10/16/2010 LS – LF Gantt Chart Variability in Activity Times for Milwaukee Paper 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 CPM assumes we know a fixed time A Build internal components estimate for each activity and there B Modify roof and floor C Construct collection is no variability in activity times stack D Pour concrete and PERT uses a probability distribution install frame E Build high- for activity times to allow for temperature burner variability F Install pollution control system G Install air pollution device H Inspect and test © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 73 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 74 Variability in Activity Times Variability in Activity Times Estimate follows beta distribution Three time estimates are required Expected time: Optimistic time (a) – if everything t = (a + 4m + b)/6 g goes according to plan g p Variance of times: V i f ti Pessimistic time (b) – assuming very unfavorable conditions v = [(b – a)/6]2 Most likely time (m) – most realistic estimate © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 75 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 76 Variability in Activity Times Computing Variance Most Expected Estimate follows beta distribution Optimistic Likely Pessimistic Time Variance Activity a m b t = (a + 4m + b)/6 [(b – a)/6]2 Expected time: Figure 3.12 A 1 2 3 2 .11 t = (a + 4m + b)/6 B 2 3 4 3 .11 Variance of ti V i Probabilityfoftimes: 1 in 100 of Probability C 1 2 3 2 .11 Probability < a occurring v = [(b − a)/6]2 of 1 in 100 of [(b D 2 4 6 4 .44 > b occurring E 1 4 7 4 1.00 F 1 2 9 3 1.78 Activity G 3 4 11 5 1.78 Time H 1 2 3 2 .11 Optimistic Most Likely Pessimistic Time (a) Time (m) Time (b) Table 3.4 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 77 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 78 13
  • 14. 10/16/2010 Probability of Project Probability of Project Completion Completion Project variance is computed by Project variance is computed by summing the variances of critical summing the variances of critical activities Project variance activities σ2 = .11 + .11 + 1.00 + 1.78 + .11 = 3 11 11 11 1 00 1 78 11 3.11 σp = Project variance 2 p = ∑(variances of activities on critical path) Project standard deviation σp = Project variance = 3.11 = 1.76 weeks © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 79 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 80 Probability of Project Probability of Project Completion Completion PERT makes two more assumptions: Standard deviation = 1.76 weeks Total project completion times follow a normal probability distribution Activity times are statistically independent 15 Weeks (Expected Completion Time) Figure 3.13 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 81 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 82 Probability of Project Probability of Project Completion Completion From Appendix I What is the probability this project can What is the probability this project can .00 .01 .07 .08 be completed on or before the 16 week be completed on or before the 16 week .1 .50000 .50399 .52790 .53188 deadline? deadline? .53983 .54380 .2 .56749 .57142 Z = due – expected date /σp .5 = due − expected date /σp Z.69146 .69497 .71566 .71904 date of completion date of completion .6 .72575 .72907 .74857 .75175 = (16 wks – 15 wks)/1.76 = (16 wks − 15 wks)/1.76 = 0.57 Where Z is the number of = 0.57 Where Z is the number of standard deviations the due standard deviations the due date or target date lies from date or target date lies from the mean or expected date the mean or expected date © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 83 © 2011 Pearson Education, Inc. publishing as Prentice Hall 3 - 84 14