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    Group members :-

    Hafsa Thasneem [6]

    Sunanda [16]

    Nadira [26]

    Reshma [36]

    Sarika [46]

    Shihas [56]

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    Developed in 1950s

    CPM by DuPont for chemical plants

    PERT by U.S. Navy for Polaris missile

    PERT was developed by the US Navy for the planning and control of

    the Polaris missile program and the emphasis was on completing theprogram in the shortest possible time. In addition PERT had theability to cope with uncertain activity completion times (e.g. for a

    particular activity the most likely completion time is 4 weeks but it

    could be anywhere between 3 weeks and 8 weeks).

    CPM was developed by Du Pont and the emphasis was on thetrade-off between the cost of the project and its overall

    completion time (e.g. for certain activities it may be possible

    to decrease their completion times by spending more money -how does this affect the overall completion time of the

    project?)

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    CPM - Critical Path Method

    In CPM activities are shown as a network of precedence relationships

    using activity-on-node network construction

    Single estimate of activity time

    Deterministic activity times

    USED IN : Production management - for the jobs ofrepetitive in

    nature where the activity time estimates can be predicted with

    considerable certainty due to the existence of past experience.

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    PERT -

    Project Evaluation & Review Techniques

    In PERT activities are shown as a network of precedence relationships

    using activity-on-arrow network construction

    Multiple time estimates

    Probabilistic activity times

    USED IN : Project management - for non-repetitive jobs (research and

    development work), where the time and cost estimates tend to be

    quite uncertain. This technique uses probabilistic time estimates.

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    A project is composed of a number of jobs,

    activities, or tasks that are related one to the other

    and all of these should be completed in order to

    complete the project. An activity of a project can

    start only at the completion of many other

    activities. A network is a combination of activities

    and events of a project.

    NETWORK ANALYSIS

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    Events represent instants in time when certain activities have

    been started or completed.

    Tail event: a tail event is the one which marks the beginning

    of an activity. Head event : all the activities have an ending, marked by

    an event, such an event is known as head event.

    Successor events: The events that follow an event are

    called successor events

    Predecessor events: The events that occur before an event

    are called predecessor events

    EVENT

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    Earliest event time (TE): The earliest occurrence time or

    earliest time (TE) is the earliest at which an event can occur.

    Earliest occurrence of an event say 2 is denoted by E2

    Latest event time (TL): The latest allowable occurrence

    time or the latest event time (TL) is a latest time by which an

    event must occur to keep the project on schedule. Latest

    occurrence by an event say 2 is denoted by L2

    EARLIEST AND LATEST EVENT

    TIMES

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    Earliest start time(EST)

    EST of an activity is the earliest time by which it cancommence.This is naturally equal to the earliest event timeassociated with the tail event of the activity.

    The EST of an activity=earliest occurrence of the tail eventof the activity.So for the activity 2-3,EST is E2

    Earliest finish time(EFT)

    EFT for an activity is defined as the earliest time, by which itcan be finished. This is evidently equal to the earliest starttime plus estimated duration of the activity.

    i.e EFT = E S T+ Activity duration

    START AND FINISH TIMES OF AN

    ACTIVITY

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    Latest finish time (LFT)

    The latest finish time for an activity is the latest time by

    which an activity can be finished without delaying the

    completion of the project.

    Therefore for an activity 2-3, LFT =L3

    Latest start time(LST)

    LST of an activity is the latest time by which an activity can be

    started without delaying the completion of the project. It should be normally equal to the latest finish time minus the

    activity duration.

    LST= LFT-Activity duration.

    Cont..

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    Critical Path Method (CPM )

    CPM is a network technique which consist of

    planning the sequence of activities to be performed in a

    network

    scheduling the time and resources to various operations

    controlling theperformances so that they are not

    deviating from the plan.

    CPM is generally used for thoseprojects or for those projects

    for which fairly accurate estimate of time for completion of activity

    can be made and for which cost estimation can be made with fair

    degree of accuracy.

    CPM can be used effectively in productionplanning , road

    system an traffic schedules, communication network etc..

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    Steps in CPM

    1. List allthe activities and draw a network

    diagram

    2. Find the Earliest event time and Latest event

    time of each event and show in the networkdiagram.

    3. Calculate Earliest start time, Earliest finish

    time, Latest start time and Latest finish timefor each activity.

    4. Determine float for each activity.

    5. Identify the criticalactivities.

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    Phases of Application ofCPM

    technique

    Planning

    Scheduling

    Resource allocation

    Controlling

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    Advantages and Disadvantages ofCPM

    Advantages:

    It makes better detailedplanningpossible.

    Helps in ascertaining the time schedule.

    Controlby management becomes easy.

    Identifies most criticalelements & thus more

    attention can be paid on these activities.Facilitates optimum utilization of resources

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    Disadvantages:

    Ignores statisticalanalysis in determining the time

    estimate.

    Difficult to use CPM when changes are introduced

    into network.

    It cannot itself solveproblem. It facilitate solution

    for aproblem.

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    example

    Illustration of network analysis of a minor redesign of a product andits associated packaging.

    The key question is: How long will it take to complete this project ?

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    For clarity, this list is kept to a minimum by specifying only

    immediate relationships, that is relationships involving activities

    that "occur near to each other in time".

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    "What activities must be finished before this activity can start"

    could we complete this project in 30 weeks?

    could we complete this project in 2 weeks?

    One answer could be, if we first do activity 1, then activity 2, then activity 3,

    ...., then activity 10, then activity 11 and the project would then take the sumof the activity completion times, 30 weeks.

    What is the minimum possible time in which we can complete this project ?

    Before starting any of the above activity, the questions

    asked would be

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    We shall see below how the network analysis diagram/picture we construct

    helps us to answer this question.

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    CRITICAL PATH TAKES 24 WEEKS FOR THE COMPLETION OF THE PROJECT

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    Packages are available to determine the shortest path and

    other relevant information.

    AdeptTrackeris a powerful Critical Path Analysis Software for you to analyze, schedule, andmanage projects. As a

    low-price project management software product, AdepTracker 's Critical Path Analysis features enable you to trackproject, schedule project and manage project in a very convenient and effective way.

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    Data entry window

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    Output of the package

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    PERT

    Programme Evaluation ReviewTechnique

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    PERT

    PERT is a network technique of scheduling and

    controlling the project where activity times

    cannot be precisely estimated. It is a

    probilistic model with a degree of uncertainity

    in activity duration.

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    PERT deals with the problem of

    uncertain activity times

    1. Optimistic time (to)

    2. Pessimistic time (tp)

    3. Most likely time (tm)

    Expected time (te) = to+4tm+tp

    6

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    Steps in PERT

    1. Activities are arranged in a logical sequence

    2. Network diagram is drawn and events are

    numbered

    3. The expected time for each activity is calculated

    4. Marked the diagram

    5. SD and varience for each activity are found

    6. Slack is calculated and critical path is identified

    7. The total project duration is worked out

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    Application ofPERT

    Defence projects

    Research and development projects

    In construction projects In installing machinary

    In maintaince ships, rockets, steel etc

    In administration of the organisation In budgeting of the organisation

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    Resource Leveling

    Resource leveling is the project management

    function of resolving project resource over-

    allocation. By definition over-allocation means

    that a resource has been assigned more work

    than can be accomplished in the available

    time as dictated by the resource's calendar

    definition.

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    Over-allocation

    Over-allocation can occur as the result ofvarious events:

    Increased work on a task that causes the finish

    date to overlap with another already assignedtask.

    A forecasted finish that causes a task to slip or

    delaying . Full time assignments to tasks that start and

    end at the same time or overlap.

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    Cont

    Resource leveling is the process that ensures

    resource demand does not exceed resource

    availability.

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    Example:

    if a resource (human) is assigned to work 8

    hours on a project on Monday and then is

    scheduled to work full time on four tasks on

    Monday, the resource would need to put in

    thirty-two hours of work in order to stay on

    plan. Obviously it is impossible to work 32 hours

    in one day so the resource is over allocated.

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    ways to level resources

    Delay tasks:

    The delay of tasks can be assignment

    delay or leveling delay.Splitting a task:

    It is the process of interrupting the task

    schedule. In this way, part of the task is done

    when planned and the rest of it is done later

    when the assigned resource has time.

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    If networks are used as the primary planning method there are two

    approaches

    Time-limited resource considerations

    emphasis is placed on completing theproject within a

    specified time, which is typically determined by network analysis.Adjustments in the timing of an activity and the resources

    allocated at a given time are made within the available float.

    Activities on the criticalpath are not adjusted

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    Resource-limited considerations

    projects must be completed with the available

    resources, even if that means extending the

    duration of the project. If the totalresource

    demand exceeds the resource availability, at

    any time, then some of the activities must be

    delayed untilthere is sufficient resource

    availability

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