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  • 8/10/2019 Parts 1 & 2 Resource Management Presentation

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    Dr. HeshamDr. Hesham ElbakryElbakry

    Ph.D. Construction Projects ManagementPh.D. Construction Projects ManagementConsultant in Construction Projects ManagementConsultant in Construction Projects Management

    ByBy

    Project Resources ManagementProject Resources Management

    Cairo UniversityCairo University Faculty of EngineeringFaculty of Engineering

    Civil Engineering DepartmentCivil Engineering Department

    2Dr. Hesham Elbakry

    Content1. Introduction

    2. Resource Management

    2.4 Resource leveling (Smoothing)/Scheduling

    2.2 Resource Allocation/Loading

    2.3 Resource Aggregation

    2.1 Resource Definition

    2.5 LOB as a Resource Oriented Scheduling Technique

    2.4.1 Method of Moment for Resource Leveling

    2.4.2 Heuristic Procedure for Resource Leveling2.4.3 Leveling Combined Resources

    2.4.4 Scheduling Limited Resources

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    3Dr. Hesham Elbakry

    Content (Continue)

    3. Cash Flow Management

    4. Management of Construction Personnel

    5. Material Management

    6. Equipment Management

    7. Sub-Contractor Management

    1. Introduction1. Introduction

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    5Dr. Hesham Elbakry

    ActivitiesActivitiesRelationshipsRelationships

    DurationsDurations

    Analysis ofAnalysis of

    SchedulingScheduling

    by CPMby CPM

    6Dr. Hesham Elbakry

    CPM AlgorithmCPM Algorithm

    ButBut

    Impractical Schedule

    Management of available resources is requiredManagement of available resources is required

    Duration-driven

    analysis

    Assumption of

    resources availability

    Not all required

    resources are available

    ThusThus

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    7Dr. Hesham Elbakry

    2.1 Resource Definition

    Things needed to have the work done

    Consumable Non-Consumable

    Key Res.(Expensive,

    not available)

    (Skilled Labour,Special Equip.)

    Secondary Res.(Available)

    (Normal labouror Equip.)

    General Res.(Used by most

    of the

    Activities)(Site Facilities)

    Apply Resource Management

    8Dr. Hesham Elbakry

    etcetc

    SpaceSpace

    SubContractors

    SubSub

    ContractorsContractorsCashCashCash

    EquipmentEquipmentEquipment

    LabourLabourLabour

    MaterialMaterialMaterial

    ResourcesResourcesResources

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    9Dr. Hesham Elbakry

    2.2 Resource Allocation/Loading

    Assigning the resources (with its no.) that

    required to execute each activity

    More than one type of resources may be

    assigned to a specific activity

    10Dr. Hesham Elbakry

    2.3 Resource Aggregation

    Summation of allocated resources

    used by all activities onperiod-by-period basis

    Individual aggregation of each type

    of used resources

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    11Dr. Hesham Elbakry

    8

    777777151515151515151588131355Total Res.Total Res.

    requirerequire

    CC

    BB

    22

    AA

    10109988776655443311weekweek

    ActivityActivity5 5

    8 8 8 88

    7777 7 7 7

    Resource Aggregation/Chart

    ResourceResourceAggregationAggregation

    ChartChart 5

    10

    15

    12Dr. Hesham Elbakry

    Resource Aggregation Chart (ES&LS&CP)

    ResourceU

    nits

    Week

    1

    23

    4

    5

    6

    7

    8

    1 2 3 4 5 6 7 8 9 10 11

    Resource Aggregation/Earliest Starts

    Resource Aggregation/Latest StartsResource Aggregation of Critical Path Activities

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    13Dr. Hesham Elbakry

    2.4 Resource Leveling/Scheduling

    Time

    ConstrainedResource

    Constrained

    Time & Resource Constrained Projects

    Resource scheduling is applied to

    prioritize and allocate the use

    of the available constrained

    no. of resources

    ResourceManagement

    Resource leveling is applied to

    smooth resource fluctuation

    along with the constrained

    project duration

    14Dr. Hesham Elbakry

    Project

    Resource/Time

    Relationship

    Resource Resource

    T

    Time

    Resource

    T

    Resource

    LimitR

    Time Constrained Project

    T1= TT1

    R1

    R1

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    15Dr. Hesham Elbakry

    2.4.1 Method of Moment for Res. Leveling

    Minimum Moment Algorithm

    As a heuristic approach to calculatea measure of the fluctuation in

    daily resource demand

    Evaluate resource histograms alternatives

    16Dr. Hesham Elbakry

    1

    Days

    ResourceAmount

    1 2 3 4 5 6 7 8 9 10 11 12

    23

    4

    5

    6

    Histogram 2

    Histogram 1

    Histogram 1 : Mx = 83

    Histogram 2 : Mx = 80

    Mx = j =1

    n

    [(1 Resource Demandj )Resource demandj/2]

    Mx =

    j =1

    n

    12

    (Resource Demandj )2

    Where: n = working-day number of project finish date

    Mx2 < Mx1

    Thus

    Hisogram 2 is better

    than histogram 1

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    17Dr. Hesham Elbakry

    To select whichactivity/ies

    To select whichTo select whichactivity/activity/iesies

    To enhanceRes. fluctuation

    To enhanceTo enhanceRes. fluctuationRes. fluctuation

    To be movedforward

    To be movedTo be movedforwardforward

    Throughits floats

    ThroughThroughits floatsits floats

    MethodologyMethodology

    2.4.2 Heuristic Procedure for Res. Leveling

    18Dr. Hesham Elbakry

    Example 2.1

    Assuming that one resource type will be used

    during the contract,

    The activities involved in the construction of a

    certain project are given in the following table,

    Determine the minimum level of this resource

    required to complete the project?

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    19Dr. Hesham Elbakry

    00J, K, L, MJ, K, L, M22NN44B, H, IB, H, I22MM22B, HB, H33LL22F, GF, G77KK44E, FE, F22JJ00DD44II11DD66HH33CC66GG22BB66FF11BB22EE22AA33DD22AA55CC00AA22BB 00-- --00AA

    ResourceResource

    (units/week)(units/week)PredecessorsPredecessorsDurationDurationActivityActivity

    20Dr. Hesham Elbakry

    Solution / Steps

    002018N77119M 66129L

    001811K88108J9273I6093H00115G3082F12442E6030D0050C3020B0

    TF

    000A

    FFEFESID

    1. Prepare a complete activity schedule

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    21Dr. Hesham Elbakry

    M

    L

    J

    I

    H

    F

    E

    D

    B

    N

    K

    G

    C

    2019181716151413121110987654321

    2. Draw the project

    bar chart

    based upon ES

    Show critical

    activities first

    22Dr. Hesham Elbakry

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    3. Allocate Resource

    4. Aggregate Resource

    002222224913866656744

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    23Dr. Hesham Elbakry

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1D, 2

    B, 0

    N, 0K, 2

    G, 3C,2

    2019181716151413121110987654321

    002222224913866656744

    Total Res. Usage= Unit Period Usage = 90 Unit

    = 90/18 = 5 Res. Units/period

    Average Res. Usage=Total Res. Usage/Utilized period

    5. Get Total Res. Usage&Average Res. Usage

    24Dr. Hesham Elbakry

    002222224913866656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    6. Assign TF (dashed

    line beside lower side)

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    25Dr. Hesham Elbakry

    002222224913866656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    7. Assign FF (dashed

    line beside upper side)

    26Dr. Hesham Elbakry

    Time

    2019181716151413121110987654321

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    11

    12

    13

    14

    Units

    8. Resource usage

    histogram

    could be obtained

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    27Dr. Hesham Elbakry

    002222224913866656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2G, 3

    C,22019181716151413121110987654321

    ime2019181716151413121110987654321

    123456789

    1011121314

    Units

    Average Res. usage =5 units/period

    9. Define maxRes. demand

    28Dr. Hesham Elbakry

    002222224913866656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    10. Prioritize moving

    activities (Consideringless successors & no. ofRes. usage & max FF & TF)

    Move M (7 weeks)

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    29Dr. Hesham Elbakry

    002222224913866656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    00662222459866656744

    00+ 4+ 422224- 4- 4866656744

    11. Re-aggregate

    Res. usage

    30Dr. Hesham Elbakry

    Same FF

    Moved (7 weeks)

    New ES = 16

    16 18

    Same FF

    12. Revise

    FF & TF

    New FF = 9

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    31Dr. Hesham Elbakry

    00662222459866656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    Move J (6 weeks)

    13. Repeat step

    no. 10

    Thus

    32Dr. Hesham Elbakry

    14. Repeat steps

    no. 11 & 12

    00662222459866656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    00666622455466656744

    + 4+ 4- 4- 4

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    33Dr. Hesham Elbakry

    00666622455466656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    Move L (2 weeks)

    15. Repeat step

    no. 10

    Thus

    34Dr. Hesham Elbakry

    00666622455466656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    00666644433466656744

    + 2+ 2- 2- 2

    16. Repeat steps

    no. 11 & 12

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    35Dr. Hesham Elbakry

    00666644433466656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    Move E (10 weeks)

    17. Repeat steps

    no. 9 & 10

    Thus

    36Dr. Hesham Elbakry

    00666644433466656744

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    00666655433466655644

    + 1+ 1- 1- 1

    18. Repeat

    steps

    no. 11 & 12

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    37Dr. Hesham Elbakry

    00666655433466655644

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    Move H (2 weeks)

    19. Repeat steps

    no. 9 & 10

    Thus

    38Dr. Hesham Elbakry

    00666655433466655644

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    00666655444466644644

    + 1+ 1- 1- 1

    20. Repeat

    stepsno. 11 & 12

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    39Dr. Hesham Elbakry

    00666655444466644644

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    Move F (1 weeks)

    21. Repeat stepsno. 9 & 10

    Thus

    40Dr. Hesham Elbakry

    00666655444466644644

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    00666655444666644444

    + 2- 2

    22. Repeat

    stepsno. 11 & 12

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    41Dr. Hesham Elbakry

    00666655444666644444

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    Final Resource Usage / Periods

    42Dr. Hesham Elbakry

    00666655444666644444

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1E, 1

    D, 2

    B, 0

    N, 0K, 2

    G, 3C,2

    2019181716151413121110987654321

    Time2019181716151413121110987654321

    1234567891011121314Units

    Average Res. usage =

    5 units/period

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    43Dr. Hesham Elbakry

    2.4.3 Leveling Combined Resources

    Smooth combinationof Resources

    Smooth eachResource individually

    Optimum Resource

    leveling couldbe expected only forlast smoothed Res.

    Approximate leveling

    could be achievedfor all Resources(more effective)

    44Dr. Hesham Elbakry

    Example 2.2

    Consider Example 2.1,

    Assuming that the activities involved in that projectare using another resource R2 in addition to the

    originally introduced resource R1.

    Smooth the demand of resources

    R1 and R2 simultaneously.

    If the usage of R2 is as in the following table,

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    45Dr. Hesham Elbakry

    000022NN334422MM882233LL002277KK554422JJ550044II001166HH223366GG552266FF441122EE002233DD332255CC220022BB 000000AA

    Resource RResource R22

    (units/week)(units/week)

    Resource RResource R11

    (units/week)(units/week)

    DurationDuration

    (week)(week)ActivityActivity

    46Dr. Hesham Elbakry

    Solution / Steps

    73344M 108822L

    20022K95544J55500I10011H52233G75522F54411E20022D 53322C

    22200B

    ERUR2R1ID

    Step no. 1

    Construct table of demand ofEquivalent Resource Usage

    (ERU) of the two resources

    together (by adding the

    resource rates of the two

    Resources simultaneously).

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    47Dr. Hesham Elbakry

    M

    L

    J

    I

    H

    F

    E

    D

    B

    NK

    G

    C2019181716151413121110987654321

    3. Draw the project

    bar chart

    based upon ES

    Show criticalactivities first

    2. Prepare a complete activity schedule

    48Dr. Hesham Elbakry

    M, 4

    L, 2

    J, 4

    I, 0

    H, 1

    F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G, 3

    C,2

    2019181716151413121110987654321

    4. Allocate Resource R1

    5. Aggregate Resource R1

    002222224913866656744

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    49Dr. Hesham Elbakry

    M, 3

    L, 8

    J, 5

    I, 5

    H, 0

    F, 5

    E, 4

    D, 0

    B, 2

    N, 0

    K, 0

    G, 2

    C,3

    2019181716151413121110987654321

    6. Allocate Resource R2

    7. Aggregate Resource R2

    000000008131877121213171255

    50Dr. Hesham Elbakry

    Step no. 8

    Construct table of Equivalent Resource Usage

    (ERU) of the two resources by adding the

    histograms of R1 & R2 together.

    4 00222222491386665674R1

    5 00000000813187712121317125R2

    9 00222222122231151318181823199ERU

    +

    =

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    51Dr. Hesham Elbakry

    Step no. 9

    - Considering activities demand & Histogram0f ERU,

    - Use same methodology applied for smoothing

    single resource (example 2.1) to smooth ERU.

    The ERU demand & Histogram will be smoothedas follows

    52Dr. Hesham Elbakry

    002222221222311513181818231999

    M, 7

    L, 10

    J, 9

    I, 5

    H, 1

    F, 7

    E, 5

    D, 2

    B, 2

    N, 0

    K, 2

    G, 5

    C, 5

    2019181716151413121110987654321

    Same procedure as

    applied for single resource

    ERU Histogram

    ERU Demand

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    53Dr. Hesham Elbakry

    0012121211119912131313181811151299

    M, 7M, 7

    L, 10L, 10

    J, 9J, 9

    I, 5

    H, 1

    F, 7F, 7

    E, 5

    D, 2

    B, 2

    N, 0

    K, 2

    G, 5

    C, 5

    2019181716151413121110987654321

    Get schedule timing of

    final smoothing of ERU

    54Dr. Hesham Elbakry

    00444666656666633544

    M, 4M, 4

    L, 2L, 2

    J, 4J, 4

    I, o

    H, 1

    F, 2F, 2

    E, 1

    D, 2

    B, 0

    N, 0

    K, 2

    G,3

    C, 2

    2019181716151413121110987654321

    10. Use final scheduling to

    get R1 Smoothed Histogram

    R1 Smoothed Histogram

    R1 Demand

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    55Dr. Hesham Elbakry

    888553377771212812755

    M, 3M, 3

    L, 8L, 8

    J, 5J, 5

    I, 5

    H, 0

    F, 5F, 5

    E, 4

    D, 0

    B, 2

    N, 0

    K, 0

    G, 2

    C, 3

    2019181716151413121110987654321

    11. Use final scheduling to

    get R2 Smoothed Histogram

    R2 Smoothed Histogram

    R2 Demand

    56Dr. Hesham Elbakry

    PrioritizeactivitiesPrioritizePrioritizeactivitiesactivities

    To match

    Res. LimitationTo matchTo matchRes. LimitationRes. Limitation

    Through

    selected rulesThroughThrough

    selected rulesselected rules

    To be moved

    forwardTo be movedTo be moved

    forwardforward

    MethodologyMethodology

    2.4.4 Scheduling Limited Resources

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    57Dr. Hesham Elbakry

    Requirerecalculation of

    network scheduling

    Examples

    -Earliest Start Time (EST)

    -Least Total Float (LTF)

    Examples

    - Current Float Technique

    - Earliest Late Start (ELS)

    Methods of Scheduling Limited Resources

    Don t requirerecalculation of

    network scheduling

    Will be introduced

    58Dr. Hesham Elbakry

    Procedure of Resource Scheduling Using ELS

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    59Dr. Hesham Elbakry

    Example 2.3

    The following table illustrate the activities

    of a Project, as well as its resources usage

    Schedule the project so that:

    the daily resource usage matching resourcesLimits & minimum project duration extension.

    If the resources limits are as introduced by the table

    60Dr. Hesham Elbakry

    00

    11

    0011

    11

    11

    00

    00

    11

    11

    00

    33

    66

    4400

    44

    00

    44

    22

    44

    55

    22

    --

    --

    --AA

    DD

    BB

    BB

    FF

    E, HE, H

    CC

    G, JG, J

    44

    66

    2288

    44

    1010

    1616

    88

    66

    66

    1010

    AA

    BB

    CCDD

    EE

    FF

    GG

    HH

    II

    JJ

    KK

    RR22 11RR11 88

    Resource (Units/week)Resource (Units/week)PredecessorPredecessorDurationDuration

    (Week)(Week)ActivityActivity

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    61Dr. Hesham Elbakry

    Solution StepsApply Procedure of ELS Method

    62Dr. Hesham Elbakry

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    63Dr. Hesham Elbakry

    Flow Chart of General Resources Management

    64Dr. Hesham Elbakry

    2.5 Line Of Balance (LOB)

    as a Resource Oriented Scheduling Technique

    Technique for

    Resource Oriented Scheduling of

    Repetitive/Linear projects;

    (a) Projects involving several uniform units of work(such as multiple houses or typical floors in abuilding) or

    (b) Being geometrically linear (such as highway,

    pipeline, and utility projects).

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    The Objectives/Benefits of the LOB Technique

    To determine a balanced mix of resources andsynchronize their work so that they are fullyemployed and non-interrupted.

    Interesting representation of the schedule, givenlarge amount of data for the repetitive units.

    Scheduling the activities so that a projectdeadline is met using predefined resourceavailability limits.

    66Dr. Hesham Elbakry

    LOB Basic Representation

    Graphical Representation of the Activities of

    the Repetitive Unites of a Project

    Consider a high-rise building of 10 typical floors.

    Assuming that the construction of each typical floorinvolves 4 inter-related sequential activities; (A, B, C, D).

    The Project LOB Representation may be as follows:

    Example

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    12

    3

    4

    5

    67

    8

    9

    10

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

    The graphical representation of LOBwill be as follows

    RepetitiveUnits

    1- The vertical axis represents the repetitive unites (floors)

    4- Each bar width represent the duration of the activity forone unit of the project repetitive unites (DA, DB,.)

    DA DB DADC

    DA CB

    3- Each sloping bar represent one of the units activities

    Time

    2- The Horizontal axis represents the time (days, weeks )

    68Dr. Hesham Elbakry

    12

    3

    4

    5

    6

    7

    8

    9

    10

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

    RepetitiveUnits

    DA DB DADC

    DA CB

    Time

    5- A horizontal line at any unit intersects with theactivity bars at the planned start and finish timesof the work in that unit.

    Start

    4Start

    11

    End

    22

    End

    16

    6- A vertical line at any date (time) shows the plannedwork that should be completed/started before and

    on that date.

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    RepetitiveUnits

    12

    3

    4

    56

    7

    8

    9

    10

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

    Time

    DA CB

    DA DB DADC

    Project End Date

    8- The finish time of the last unit in the last activityrepresents the end date of the project.

    7- The slope of each activity represents its plannedrate of progress and this is direct function of thenumber of crews involved in the activity

    ActivityProgress

    Rate

    70Dr. Hesham Elbakry

    More information could be added/extracted as follows

    9- The number of crews employed in each taskcould be graphically represented (by a differentpattern for each crew). Thus,

    DA CB

    12

    3

    4

    5

    6

    7

    8

    9

    10

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

    RepetitiveUnits

    DA DB DADC Time

    The synchronized movement of the crews fromone unit to the other could be easley checked.

    Crew 1

    Crew 2

    Crew 3

    Crew 1

    Crew 2

    Crew 3

    Crew 1

    Crew 2

    Crew 3

    Crew 1

    Crew 1 works in unites1,4,7,10 and leaves site on day 12

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    71Dr. Hesham Elbakry

    10- A buffer time could be introduced (as a float time) toprevent interference between the sequential activities incase an activity is slightly delayed

    DA CB

    12

    3

    45

    6

    7

    8

    9

    10

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

    Repeti

    tiveUnits

    DA DB DC Time

    Crew 1

    Crew 2

    Crew 3

    Crew 1Crew 2

    Crew 3

    Crew 1

    Crew 2

    Crew 3

    Crew 1Buffer time one day between A & B

    Buffer time one day between C & D

    When a slower activity is to follow a faster activity (e.g., D

    follows C), a buffer time is to be added to the startof first unit of Activity C,When a faster activity is to follow a slower activity (e.g., B

    follows A), a buffer time is to be added at the end offinal unit of Activity A

    72Dr. Hesham Elbakry

    11- Activities production rates

    Speeding one activity so that conflict point changesfrom bottom to top increases project duration,

    A good scheduling strategy is to schedule the activitiesas parallel as possible to a desired project delivery.

    Changing the production rate (slope) of any activitymay changes the project duration,

    Effect of accelerating production rate

    are indicated by the following diagrams

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    73Dr. Hesham Elbakry

    Project End at T1 = 27 day

    TimeRepetitiveUnits

    12

    3

    4

    56

    7

    8

    9

    10

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

    DA CB

    Rate 1

    Activity

    B

    Rate 1

    Project End at T2 = 30 day

    T2 > T1

    RepetitiveUnits

    12

    34

    5

    6

    7

    8

    9

    10

    1 21

    Time

    A

    2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35

    Activity

    B

    Rate 2

    Rate 1 > Rate 2

    Rate 2

    B C D

    74Dr. Hesham Elbakry

    LOB Calculations

    The LOB formulation involves four main issues as follows:

    - Crew synchronization and work continuity equation;

    - Computation of a project delivery rate that meets a givendeadline duration;

    - Calculating resource needs for critical and non-criticalactivities; and

    - Drawing the LOB schedule.

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    Crew Synchronization

    C = no. of crews

    D = Activity Duration

    R = Activityproduction rate

    Then : R = C/D . . . . . . . . . . . . . . . . (1)For the given case: R = 3/3 = 1 unit/day

    To accelerate the production rate, Use 4 crews

    Then: Rnew= 4/3 = 1.33 units/day

    1

    2

    3

    4

    Crew 1

    Crew 3

    Crew 2

    RUnits

    D Time

    76Dr. Hesham Elbakry

    1

    2

    3

    4

    Crew 1

    Crew 3

    Crew 2

    RU

    nits

    Time

    R = C/D

    -Work continuity is achieved by shifting the start ofeach unit from its previous one by a time D/C or 1/R.

    D/C D/C D/C

    Start times shift

    D/C

    - Shifting the crew starts enhance the demand of thiscrews to other resources.

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    Meeting The Project Deadline Duration

    -A basic objective in CPM-LOB calculation isto meet a given deadline for finishing (n)

    repetitive unites.

    - By LOB, it is possible to formulate a strategyfor meeting a dead line by calculating the

    desired rate of delivery (Rd) for the units as

    follows:

    78Dr. Hesham Elbakry

    Rd1

    2

    n

    Units

    Time

    .

    T1

    T1= CPM Duration of Unit 1

    TL

    TL= Project Deadline Duration

    -The delivery rate (Rd) is the minimum raterequired to meet the project desired deadline

    Rd= (n-1)/(TLT1) . . . . . . . . . (2)

    -Any higher rate result in shorter project durationbut also more crew use/cost.

    Notes

    n-1

    Project

    Deadline

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    Calculating Resources Needing

    -To match the project desired deadline, thecalculated rate of delivery [Rd= (n-1)/(TLT1)]

    should be applied to all critical activities.

    - On the other hand, for non-critical activities, thetotal float should be used to slow the rates of

    such activities. Then Rdwill be as follows:

    ExampleThe following network is for activities A,B,C and D

    to be executed for (n) repetitive units.

    80Dr. Hesham Elbakry

    12345

    n

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

    Repetitive

    Units

    Time

    (TL ) Project

    Deadline

    T1

    A C

    B

    Rd

    TLT1TLT1TFD

    D

    (TLT1) +TFD

    RD

    Ri

    = (n-1)/[(TL

    T1

    ) +TFi

    ]. . . . . . . . . (3)

    Thus

    Where (i) is the non critical activity

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    Applying equation (1): R=C/D

    Then: Ri = Ci/Di

    The no. of crews Ci Should be rounded to be Cai

    Then: Rai = Cai/Di . . . . . . . . . . . . . . (4)

    Equations 3 & 4 are the basis of LOB calculations

    Ri= (n-1)/[(TLT1) +TFi]. . . . . . . . . (3)

    82Dr. Hesham Elbakry

    Example 2.4

    The following table illustrates the activities involved

    in the construction of 1 Km of a pipeline together

    with their estimated durations,

    - Calculate the number of crews needed for eachactivity, assume 1 day buffer time between activities

    - Draw the LOB schedule.

    The project consists of 10 similar kilometers and is

    targeted to be finished in 40 days.

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    --

    AA

    AA

    B, CB, C

    DD

    EE

    PrecedingPrecedingactivitiesactivities

    11

    33

    11

    44

    11

    22

    Locate and clearLocate and clear

    ExcavateExcavate

    String pipeString pipe

    Lay pipeLay pipe

    Pressure testPressure test

    BackfillBackfill

    AA

    BB

    CC

    DD

    EE

    FF

    DurationDuration(days)(days)

    ActivityActivitynamename

    ActivityActivityno.no.

    84Dr. Hesham Elbakry

    Solution

    1. Create CPM calculations for a single unit,Identify the following:- Total time of one unit (T1)

    - ES of Critical Activities- ES & TF of non critical activities.

    Buffer times 1 day

    as required

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    85Dr. Hesham Elbakry

    - From CPM get ActivitiesTF, then get the

    desired rate for all activities as follows:

    2. LOB Calculations :

    - Project deadline (TL) = 40 day

    - Unit time (T1) = 15 day (by CPM)

    Ri= (n-1)/[(TLT1) + TFi] = 9/[25 + TFi]

    - Get the corresponding required no. of crews Ci

    for all activities ( Ci = Ri Di )- Round up Ci : then, use the actual no. of crews

    Cai to get the activities actual rates Rai = Cai/Di

    86Dr. Hesham Elbakry

    00

    00

    22

    00

    00

    00

    11

    33

    11

    44

    11

    22

    AA

    BB

    CC

    DD

    EE

    FF

    TotalTotalFloatFloat

    ((TFTFii

    ))

    DurationDuration

    (day)(day)ActivityActivity

    (i)(i)

    0.3600.360

    0.3600.360

    0.3330.333

    0.3600.360

    0.3600.360

    0.3600.360

    Ri =

    9/[25+TFi]

    0.3600.360

    1.0801.080

    0.3330.333

    1.4401.440

    0.3600.360

    0.7200.720

    Ci =

    Ri Di

    11

    22

    11

    22

    11

    11

    Cai =

    Round of Ci

    11

    0.6670.667

    11

    0.50.5

    11

    0.50.5

    Rai =

    Cai/Di

    From CPM From LOB Calculations

    Use Rai and the CPM data to drew the ProjectLOB schedule as follows:

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    87Dr. Hesham Elbakry

    A

    CB D

    11

    0.6670.66711

    0.50.511

    0.50.5

    Rai

    00

    0022000000

    11

    3311441122

    AA

    BBCCDDEEFF

    ((TFTFii))DDii(i)(i)

    RepetitiveUnits

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

    Time

    1234

    5

    10

    6789

    36 37 38 4239 40 41

    EF

    9 10 11 12 15.5 18.5 24 28 29 30 40 42

    88Dr. Hesham Elbakry

    LOB as a planning & Scheduling tool is not limited

    to repetitive projects with typical units only. It is also

    valid for other cases not limited to the following:

    Notes:

    2 - Interrupting the crewswork continuity.

    3 - Execution of some activitywork starting not

    from the first unit

    4 - Applying variable delivery rates for any activity

    1 - Existence of some non-typical units.

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    RepetitiveUn

    its

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

    Time

    12345

    10

    6789

    36 37 38 4239 40 41

    Consider LOB calculations in such cases neglectingun-uniformity then adjust the graphical representation.

    1 2 3 4

    To Be ContinueFor further

    Resource Management


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