om lec 5- project management

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    Project Management

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    What is a Project Management? Project: a series of related activities usually directed toward some

    major output and requiring a significant period of time to perform Project management: the application of the knowledge, skills, tools,

    and techniques necessary to successfully complete a project. According to the Project Management Institute ( www.pmi.org ), the

    body of knowledge of project management can be divided into fivecategories:

    1. initiation2. planning3. execution4. control5. closure

    http://www.pmi.org/http://www.pmi.org/
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    Characteristics of a Project

    A unique, one-time effort Requires the completion of a large number

    of interrelated activities Resources, such as time and/or money, are

    limited Typically has its own management structure

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    Characteristics for Projects

    Projects generally have or include: Pre-specified deliverables after completion Pre-established limits and exclusions Specific intermediate goals or performance milestones. An element of risk Teams made up of several individuals who come from

    different departments or functional areas or who have

    unique skills Team members work on multiple projects at the same

    time

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    Example Projects in Different FunctionalAreas that Impact the Value Chain

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    Matrix Project

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    Three InterrelatedConstraints in Project Management

    All project management decisions involve three factors:time, resources, and cost

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    Project ManagementTools and Techniques

    The discipline of project management has anumber of tools and procedures that enable theproject team to organize its work to meet theobjectives under the constraints:

    Work Breakdown Structure Precedence Relationship and Time Estimates Gantt Chart Network Diagram

    Critical Path Method (CPM) Cost and Time Tradeoff Analysis Program Evaluation and Review Technique (PERT) Resource Management

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    Work Breakdown Structure

    Work breakdown structure (WBS): anapproach that defines a project in terms of itssubprojects, tasks, and activities

    Most fundamental technique for designing andorganizing

    Activity : the smallest work package that canbe assigned to a single worker or a team

    It is essential that care is taken to develop arealistic work breakdown structure.

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    Precedence Relationshipand Time Estimates

    Precedence relationship analysis :identification of the relationships and thesequence of activities within a project

    Great care is taken to estimate theapproximate completion time for eachactivity.

    The project schedule, cost, and resourcerequirements depend on the precedencerelationships and time estimates forindividual tasks.

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    Gantt Chart

    Gantt chart: a special type of horizontal barchart used to display the schedule for an entireproject

    Named after Henry Gantt, who originallydeveloped the chart in the 1910s.

    A Gantt chart with different color codes can beused to track performance while the project isin progress.

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    An Example of a Gantt Chart

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    Network Diagram

    Network diagram : a diagram with arrows andnodes (circles) created to display a sequence of activities within a project

    Activity on node (AON) approach : a networkdiagram that shows each activity as a circle (ora node) and connects the activities with arrows

    Activity on arrow (AOA) convention : a networkdiagram in which each activity is representedby an arrow, and the nodes are used to showthe beginning and end points

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    Activity on Node (AON)and Activity on Arrow (AOA) Conventions

    for Representing Network Diagrams

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    Types of Critical Path Methods

    CPM- Used when activity times are known with certainty Used to determine timing estimates for the

    project, each activity in the project, and slacktime for activities

    PERT with Three Activity Time Estimates Used when activity times are uncertain Used to obtain the same information as the

    Single Time Estimate model and probabilityinformation

    Time-Cost Models Used when cost trade-off information is a

    major consideration in planning Used to determine the least cost in reducing

    total project time

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    Critical Path Method

    Critical path method : an algorithm for schedulingactivities within a project for the fastest and mostefficient execution

    Critical path : the path within a project that takes

    the longest time to complete Dictates the project completion time, the bottleneck

    path or the binding constraint Critical activities : the project activities making up

    a critical path Slack : the amount of flexibility in scheduling an

    activity within a project

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    Computing the Critical Path

    Earliest start (ES) = 0 for all activities withoutpredecessors; = largest of earliest finish times of allimmediate predecessor activities.

    Earliest finish (EF) = ES + task duration, workingforward in the project network

    Latest finish (LF) = for all ending activities =minimum project duration; = smallest of lateststart times for all successor activities.

    Latest start (LS) = LF - task duration, workingbackwards in the project network

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    CPM with Single Time Estimate

    Consider the following consulting project :Activity Designation Immed. Pred. Time (Weeks)Assess customer's needs A None 2

    Write and submit proposal B A 1Obtain approval C B 1Develop service vision and goals D C 2Train employees E C 5Quality improvement pilot groups F D, E 5Write assessment report G F 1

    Develop a critical path diagram and determine theduration of the critical path and slack times for all

    activities.

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    First draw the network

    A(2) B(1) C(1)

    D(2)

    E(5)

    F(5)G(1)

    A None 2

    B A 1

    C B 1

    D C 2

    E C 5F D,E 5

    G F 1

    Act. Imed. Pred. Time

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    Determine early starts and early finish times

    ES=9EF=14 ES=14EF=15ES=0EF=2 ES=2EF=3 ES=3EF=4

    ES=4

    EF=9

    ES=4EF=6

    A(2) B(1) C(1)

    D(2)

    E(5)

    F(5) G(1)

    Hint: Start with ES=0and go forward in thenetwork from A to G.

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    Determine late starts and late finishtimes

    ES=9EF=14

    ES=14EF=15

    ES=0EF=2

    ES=2EF=3

    ES=3EF=4

    ES=4EF=9

    ES=4EF=6

    A(2) B(1) C(1)

    D(2)

    E(5)

    F(5) G(1)

    LS=14

    LF=15

    LS=9

    LF=14

    LS=4LF=9

    LS=7LF=9

    LS=3LF=4

    LS=2LF=3

    LS=0LF=2

    Hint: Start with LF=15or the total time of the

    project and gobackward in thenetwork from G to A.

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    Critical Path & Slack

    ES=9

    EF=14

    ES=14

    EF=15

    ES=0

    EF=2

    ES=2

    EF=3

    ES=3

    EF=4

    ES=4EF=9

    ES=4EF=6

    A(2) B(1) C(1)

    D(2)

    E(5)

    F(5) G(1)

    LS=14

    LF=15

    LS=9

    LF=14

    LS=4 LF=9

    LS=7LF=9

    LS=3

    LF=4

    LS=2

    LF=3

    LS=0

    LF=2

    Duration=15 weeks

    Slack=(7-4)=(9-6)= 3 Wks

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    Program Evaluationand Review Technique (PERT)

    The technique is based on the assumption thatan activitys duration follows a probability

    distribution instead of being a single value. The probabilistic information about the

    activities is translated into probabilistic

    information about the project.

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    PERT

    Three time estimates are required to compute theparameters of an activitys duration distribution:

    pessimistic time (t p ) - the time the activity would takeif things do not go well

    most likely time (t m ) - the consensus best estimate of the activitys duration

    optimistic time (t o ) - the time the activity would takeif things do go well

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    PERT

    From these three time estimates about anactivity, two probability distribution parameters

    are calculated: the mean (t e ) and the variance(Vt ).

    te = ( to + 4t m + tp ) / 6

    Vt = [ ( t p - to ) / 6 ] 2

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    Example: PERT

    Task

    Immediate

    Predecesors Optimistic Most Likely PessimisticA None 3 6 15B None 2 4 14C A 6 12 30D A 2 5 8

    E C 5 11 17F D 3 6 15G B 3 9 27H E,F 1 4 7I G,H 4 19 28

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    Example. Expected Time Calculations

    ET(A)= 3+4(6)+15

    6

    ET(A)=42/6=7Task

    ImmediatePredecesors

    ExpectedTime

    A None 7B None 5.333C A 14D A 5E C 11F D 7

    G B 11H E,F 4I G,H 18

    TaskImmediate

    Predecesors Optimistic Most Likely PessimisticA None 3 6 15B None 2 4 14C A 6 12 30D A 2 5 8

    E C 5 11 17F D 3 6 15G B 3 9 27H E,F 1 4 7I G,H 4 19 28

    Expected Time =Opt. Time + 4(Most Likely Time) + Pess. Time

    6

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    Network Diagram

    A(7)

    B(5.333)

    C(14)

    D(5)

    E(11)

    F(7)

    H(4)

    G(11)

    I(18)

    Duration = 54 Days

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    Exercise

    What is the probability of finishing this project inless than 53 days?

    p(t < D)

    TE = 54

    Z =D - T E

    cp2

    t

    D=53

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    A c tiv ity v a ria n ce , = (P ess im . - O p tim .

    6)2 2

    Task Optimistic Most Likely Pessimistic VarianceA 3 6 15 4B 2 4 14C 6 12 30 16D 2 5 8E 5 11 17 4F 3 6 15G 3 9 27

    H 1 4 7 1I 4 19 28 16

    (Sum the variance along the critical path .) 2 = 41

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    There is a 43.8% probability that this project will be completed in less than 53 weeks.

    p(Z < -.156) = .438, or 43.8 % (NORMSDIST(-.156)

    Z =D - T

    =53-54

    41= -.156E

    cp2

    TE = 54

    p(t < D)

    tD=53

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    Additional Probability Exercise

    What is the probability that theproject duration will exceed 56weeks?

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    Additional Exercise Solution

    tTE = 54

    p(t < D)

    D=56

    Z =D - T

    =56-54

    41= .312E

    cp2

    p(Z > .312) = .378 , or 37.8 % (1-NORMSDIST(.312))

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    Activity Cost-Time Tradeoffs

    Project managers may have the option orrequirement to crash the project, or

    accelerate the completion of the project. This is accomplished by reducing the length of

    the critical path(s).

    The length of the critical path is reduced byreducing the duration of the activities on thecritical path

    Ch t 18 P j t M t

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    Crashing a project refers to reducing the total

    time to complete the project to meet a reviseddue date.

    Crash time is the shortest possible time theactivity can realistically be completed.

    Crash cost is the total additional costassociated with completing an activity in itscrash time rather than in normal time.

    Crash cost per unit of time =

    Crash Cost Normal CostNormal Time Crash Time

    Chapter 18 Project Management

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    Activity crashing

    Activity time

    Crashing activity

    Crashtime

    Crashcost

    Normal Activity

    Normaltime

    Normalcost

    Slope = crash cost per unit time

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    Crashing - Considerations

    Pick activities on the Critical Path Determine Crash/Day costs

    Start with lowest cost crash/day Determine other effects of shortening

    critical path activities Continue to crash/analyze until

    optimum solution reached. Analyze Project Cost/Duration Graph

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    Computer Softwarefor Project Management

    Artemis Views (Artemis Management Systems ) FastTrack Schedule (AEC Software) Microsoft Project (Microsoft Corp.) Oracle Projects (Oracle Corp.) PowerProject (ASTA Development) Primavera Project Planner (Primavera Systems) SuperProject (Computer Associates International) TurboProject (IMSI)