sche07p calculation 9901

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    Prof. Awad Hanna

    Estimating Activity DurationEstimating Activity DurationTime Interval

    Time Interval is selected according to the

    nature of the activity (seconds - minutes)

    It is common practice in construction

    industry to use calendar day.

    Use one and only one time unit for anyschedule.

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    Estimating Activity DurationEstimating Activity Duration1.From companys record

    2.From standard estimating guide3.Interviewing field personnel.

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    Weather and Contingency

    Allowance

    Weather and Contingency

    Allowance Two approaches for assignment of weather

    allowance:

    1. Add the Weather Allowance at the end ofthe project as a separate activity.

    2. Add Weather Allowance to those affected by

    the weather.

    3.Add weather allowance at the end of each

    construction segment (site preparation,

    foundation, etc.)

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    Contingency items

    Other activities can be added to allow forcontingency such as strikes

    Time ZeroThe close of the work period

    immediately preceding the start of the

    project.

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    Scheduling Computation for Arrow DiagramScheduling Computation for Arrow Diagram

    Four time values associated with each

    activity:

    1.ESD Early Start Date

    2.EFD Early Finish Date

    3.LSD Late Start Date

    4.LFD Late Finish Date

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    Early Start Date for an activity is the earliest

    point in time that any activity bursting from its

    beginning node can start.

    Late Finish Date is the latest point in time

    that any activity which merges at the activitys

    ending node can finish.

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    The Four ActivityTimes -Arrow Diagram NotationThe Four ActivityTimes -Arrow Diagram Notation

    i jActivity

    Tij

    Tij TijTime

    Available

    Activity ij Activity ij

    ESDij EFDij LSDij LFDij

    (a)

    (b)

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    Forward Pass RulesForward Pass Rules

    Rule 1The initial project event is assumed to occur at time

    zero

    Rule 2

    All activities are assumed to start as soon as

    possible, that is , as soon as all the predecessor

    activities are completed.

    Rule 3

    The early finish time of an activity is merely the sum

    of its early start date and the estimated activity

    duration.

    EFDij

    = ESDij

    + Tij

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    Forward Pass Rules (cont.)Forward Pass Rules (cont.)

    Rule 4

    The late start date LSDij is found by

    subtracting the activity duration Tij from the

    late finish date LFDij

    LSDij = LFDij - Tij

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    1. Total Float

    1. Total Float

    Total float may be defined as that time

    span in which the completion of an

    activity may occur and not delay thetermination of the project.

    TFij = LFDij - EFDij

    = LSDij - ESDij

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    2. Free

    Float2

    . Free

    Float Free float may be defined as the time

    span in which the completion of an

    activity may occur and not delay thefinish of the project nor delay the start of

    any following activity.

    FFij = ESDjk - EFDij

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    3. Interfering Float3. Interfering Float

    That part of the total float which remains afterfree float has been deducted is the interfering

    float.

    It may be defined as: The time span in which

    the completion of an activity may occur and

    not delay the termination of the project but

    within which completion will delay the start of

    some other following activity.

    INTFij = TFij - FFij

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    4. Independent Float4. Independent Float

    The fourth float, independent float, is theamount of scheduling leeway of an activity

    that is independent of the early starts and late

    finishes of any other activity. It may be

    formally defined as:

    The time span in which the completion of an

    activity may occur and not delay the

    termination of the project, not delay the start

    of any following activity, and not be delayed

    by any preceding activity.

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    Critical Path Computations on

    the Network

    Critical Path Computations on

    the Network

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    The

    Two Event Approach

    Early Start Event

    In the forward pass, the ma imum of the

    EFD values for all activities merging at a

    node is taken as ESD value for all the

    activities that burst from the same node.

    TEj = Ma I (TEi +Tij)

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    For all activities entering node j,

    TEj

    is taken as the greatest sum of

    all activities merge to the node

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    Late Finish Event

    In the backward computations, the

    minimum of LSD valves is taken as

    the latest finish time for all activitiesthat enter the node.

    TLj = MinI (TLi +Tij)

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    Start by the last activity, the TL for

    the ne t earlier node is taken as

    the minimum value of the late timeevent minus activity duration.

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    Float Calculations From EventTimesFloat Calculations From EventTimes

    Total Float

    Tfij = TLj - TEi - TijE ample

    TF2-2 = TL2 - TE2 - T2-2

    = 1 - - 1 =

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    Free Float

    FFij = TEj - TEi - Tij

    E ample

    FF2-2 = TE2 - TE2 - T2-2

    = 14 - - 1 = 4

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    Interfering Float

    INTFij = TLj - TEjE ample

    INTF2-2 = TL2 - TE2

    = 1 - 14 = 3Inde endent Float

    INDFij = TEj - TLi - TijE ample

    INDF2-2 = TE2 - TL2 - T2-2= 14 - - 1 = 4