topic 8- project management

Upload: faz143

Post on 02-Jun-2018

221 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/10/2019 Topic 8- Project Management

    1/62

    10/15/2014 NY - KJP 585 2009 1

    Operat ions

    Management

    Top ic 8 -Projec t Management

  • 8/10/2019 Topic 8- Project Management

    2/62

    10/15/2014 NY - KJP 585 2009 2

    Unique, one-time operations designed to

    accomplish a specific set of objectives in a

    limited time frame.

    Bui ld A

    A Done

    Bui ld B

    B Done

    Bui ld C

    C Done

    Bui ld D

    Ship

    JAN FEB MAR APR MAY JUN

    On time!

    Projects

  • 8/10/2019 Topic 8- Project Management

    3/62

    10/15/2014 NY - KJP 585 2009 3

    Usually relate to time, cost and performance/quality

    If min cost, quality can be deteriorated. If min time, cost may increase

    If max quality, cost may increase.

    Projects Objectives

  • 8/10/2019 Topic 8- Project Management

    4/62

    10/15/2014 NY - KJP 585 2009 4

    Examples of Projects

    Bu i ld ing Construct ion

    Research Project

  • 8/10/2019 Topic 8- Project Management

    5/62

    10/15/2014 NY - KJP 585 2009 5

  • 8/10/2019 Topic 8- Project Management

    6/62

    10/15/2014 NY - KJP 585 2009 6

    Plann ing

    Object ives

    Resources

    Work break-down

    schedule

    Organizat ion

    Schedul ing

    Project act iv i t ies

    Start & end times

    Network

    Control l ing

    Mon itor, compare, revise, action

    Project Management Activities

  • 8/10/2019 Topic 8- Project Management

    7/62

    10/15/2014 NY - KJP 585 2009 7

    Project Planning, Scheduling,

    and Controlling

    Figure 3.1

    Before Start of project During

    project Timel ine project

    Budgets

    Delayed act iv i t ies reportSlack act iv i t ies repo rt

    Time/cos t est im ates

    Budgets

    Engineer ing diagrams

    Cash f low char tsMaterial availabi l i ty detai ls

    CPM/PERT

    Gantt ch arts

    Mileston e charts

    Cash f low schedules

  • 8/10/2019 Topic 8- Project Management

    8/62

    10/15/2014 NY - KJP 585 2009 8

    Deciding which projects to implement

    Selecting a project manager

    Selecting a project team

    Planning and designing the project

    Managing and controlling projectresources

    Deciding if and when a project should beterminated

    Key Decisions

  • 8/10/2019 Topic 8- Project Management

    9/62

    Highly visibleResponsible for making sure that:

    1. All necessary activities are finished in orderand on time

    2. The project comes in within budget3. The project meets quality goals

    4. The people assigned to the project receivemotivation, direction, and information

    The Role of

    the Project Manager

    Project managers should be:

    Good coaches

    Good communicators

    Able to organize activities from

    a variety of disciplines

  • 8/10/2019 Topic 8- Project Management

    10/62

    10/15/2014 NY - KJP 585 2009 10

    Ethical Issues

  • 8/10/2019 Topic 8- Project Management

    11/62

    10/15/2014 NY - KJP 585 2009 11

    Project Management

    Techniques

    Gantt chart

    Critical Path Method(CPM)

    Program Evaluation

    and ReviewTechnique (PERT)

  • 8/10/2019 Topic 8- Project Management

    12/62

    10/15/2014 NY - KJP 585 2009 12

    Figure 3.3

    Level IDLevel Number Act iv i ty

    1 1.0 Develop/launch Window s Vista OS

    2 1.1 Develop of GUIs

    2 1.2 Ensu re com patib i l i ty w ith ear l ier

    Windows vers ions

    3 1.21 Compatib i l i ty w ith Windows ME

    3 1.22 Compatib i l i ty w ith Windows XP

    3 1.23 Compatib i l i ty w ith Window s 2000

    4 1.231 Ensure abil i ty to impo rt fi les

    Work Breakdown Structure

  • 8/10/2019 Topic 8- Project Management

    13/62

    10/15/2014 NY - KJP 585 2009 13

    Work Breakdown Structure

  • 8/10/2019 Topic 8- Project Management

    14/62

  • 8/10/2019 Topic 8- Project Management

    15/62

    10/15/2014 NY - KJP 585 2009 15

    Passengers

    Baggage

    Fuel ing

    Cargo and mail

    Gal ley servic ing

    Lavatory servic ing

    Drinking w ater

    Cabin cleaning

    Cargo and mail

    Fl ight services

    Operat ing crew

    Baggage

    Passengers

    Deplaning

    Baggage cla im

    Container of f load

    Pumping

    Engine in ject ion w ater

    Container of f load

    Main cabin doorAf t cab in door

    Aft, center, forw ard

    Loading

    First -c lass sect ion

    Economy sect ion

    Container/bulk loading

    Gal ley/cabin check

    Receive passengers

    Aircraf t check

    Loading

    Board ing

    0 10 20 30 40

    Time, Minutes

    Service For A Delta Jet

    Figure 3.4

  • 8/10/2019 Topic 8- Project Management

    16/62

    10/15/2014 NY - KJP 585 2009 16

    Gantt Chart

    Schedu l ing techn iqueshows the

    relat ionship among the project tasks or

    act iv i t ies w ithin t ime constraint

    Takes p lace after WBS is drawn up and

    work package are ident i f ied

    Give clear pictor ia l model

    Simple to cons truc t and easy to in terpret

  • 8/10/2019 Topic 8- Project Management

    17/62

    10/15/2014 NY - KJP 585 2009 17

    Netwo rk techn iques

    Developed in 1950s

    CPM by DuPon t for chemical plants(1957)

    PERT by Booz, Al len & Ham il ton w iththe U.S. Navy , fo r Polaris m issi le (1958)

    Cons ider precedence relat ionships andinterdependencies

    Each uses a dif ferent est imate of act iv i tyt imes

    PERT and CPM- Network Diagram

  • 8/10/2019 Topic 8- Project Management

    18/62

    10/15/2014 NY - KJP 585 2009 18

    Six Steps PERT & CPM

    1. Def ine the pro ject and prepare the

    work b reakdown s t ructure

    2. Develop relat ionsh ips among theact iv i t ies - decide wh ich act iv i t ies

    must precede and which must fo l low

    others

    3. Draw the network connect ing all o f

    the act iv i t ies

  • 8/10/2019 Topic 8- Project Management

    19/62

    10/15/2014 NY - KJP 585 2009 19

    Six Steps PERT & CPM

    4. Ass ign time and/o r cos t es timates to

    each act iv i ty

    5. Compute the longes t t ime paththrough the netwo rk th is is calledthe cri t ical path

    6. Use the network to help p lan ,schedu le, mon i tor , and contro l the

    project

  • 8/10/2019 Topic 8- Project Management

    20/62

    10/15/2014 NY - KJP 585 2009 20

    PathSequence of activities that leads from the starting

    node to the finishing node

    Crit ical path

    The longest path; determines expected projectduration

    Crit ical act iv i t ies

    Activities on the critical path

    Slack

    Allowable slippage for path; the difference the

    length of path and the length of critical path

    PERT and CPM- Network Diagram

  • 8/10/2019 Topic 8- Project Management

    21/62

    10/15/2014 NY - KJP 585 2009 21

    1

    2

    3

    5

    6

    Locate

    facilities

    Orderfurniture

    Furniture

    setup

    Interview

    RemodelMove

    in

    4

    Hire and

    train

    7S

    AON

    Project Network Activity on Node

  • 8/10/2019 Topic 8- Project Management

    22/62

    10/15/2014 NY - KJP 585 2009 22

    1

    2

    3

    4

    5 6

    Locate

    facilities

    Order

    furniture

    Furniture

    setup

    InterviewHire and

    train

    Remodel

    Move

    in

    AOA

    Project Network Activity on Arrow

  • 8/10/2019 Topic 8- Project Management

    23/62

    10/15/2014 NY - KJP 585 2009 23

    A Comparison of AON and AOANetwork Conventions

    Act iv i ty on Act iv i ty Act iv i ty onNode (AON) Meaning Arrow (AOA)

    A com es before

    B, which comesbefor e C

    (a) A B CBA C

    A and B mus t bothbe com pletedbefore C can start

    (b)

    A

    C

    CB

    A

    B

    B and C cannotbegin un t i l A iscompleted

    (c)

    B

    A

    C

    A

    B

    CFigure 3.5

  • 8/10/2019 Topic 8- Project Management

    24/62

    10/15/2014 NY - KJP 585 2009 24

    A Comparison of AON and AOANetwork Conventions

    Act iv i ty on Act iv i ty Act iv i ty onNode (AON) Meaning Arrow (AOA)

    C and D canno t

    begin unt i l bothA and B arecompleted

    (d)A

    B

    C

    D B

    A C

    D

    C cannot beginunt i l both A and Bare completed; Dcannot begin un t i lB is comp leted. Adummy act iv ity isin t roduced in AOA

    (e)

    CA

    B D

    Dumm y act iv i ty

    A

    B

    C

    D

    Figure 3.5

  • 8/10/2019 Topic 8- Project Management

    25/62

    10/15/2014 NY - KJP 585 2009 25

    A Comparison of AON and AOANetwork Conventions

    Act iv i ty on Act iv i ty Act iv i ty onNode (AON) Meaning Arrow (AOA)

    B and C cannotbegin unt i l A iscompleted. Dcannot beginunt i l both B andC are completed.A dummyact iv i ty is againin troduced inAOA.

    (f)

    A

    C

    DB A B

    C

    D

    Dummy

    activ i ty

    Figure 3.5

  • 8/10/2019 Topic 8- Project Management

    26/62

    10/15/2014 NY - KJP 585 2009 26

    Determining the Project Schedule

    Perfo rm a Cri t ical Path Analys is

    Table 3.2

    Ac tivi ty Desc r ipt ion Time (weeks )

    A Bui ld internal com ponents 2

    B Modi fy roof and f loor 3

    C Construct col lect ion stack 2

    D Pour conc rete and instal l frame 4

    E Bu i ld high -temperature burn er 4

    F Ins tall pol lut io n control sys tem 3G Ins tal l air po llut io n device 5

    H Inspect and test 2

    Total Time (weeks ) 25

    Earl iest s tart (ES) = earl iest time at which an activ ity can

    start , assum ing al l predecessors h ave

    been com pleted

    Earl iest fin ish (EF) = earl iest time at whic h an activ ity can

    be fin ished

    Latest start (LS) = latest t ime at wh ich an act iv i ty can

    start so as to no t delay the comp let ion

    t ime of th e entire project

    Latest f in ish (LF) = latest t ime by which an act iv i ty has to

    be f in ished so as to not delay the

    com plet ion t ime of the entire project

  • 8/10/2019 Topic 8- Project Management

    27/62

    10/15/2014 NY - KJP 585 2009 27

    Determining the Project Schedule

    Perfo rm a Cri t ical Path Analys is

    Figure 3.10

    A

    Ac t iv i ty Nameor Symbol

    Earl iestStart

    ESEarl iestFin ishEF

    LatestStart

    LS LatestFin ish

    LF

    Ac t iv i ty Durat ion

    2

  • 8/10/2019 Topic 8- Project Management

    28/62

    10/15/2014 NY - KJP 585 2009 28

    Forward Pass

    Begin at star t ing event and wo rk forward

    Earl iest Start Time Rule:

    If an activi ty has on ly a single immediatepredecesso r, i ts ES equals the EF of thepredecessor

    If an activi ty has mult ip le immediatepredecessors , i ts ES is the maximum of

    al l the EF values of i ts p redecessors

    ES = Max {EF of al l immediate predecessor s}

  • 8/10/2019 Topic 8- Project Management

    29/62

    10/15/2014 NY - KJP 585 2009 29

    Forward Pass

    Begin at starting event and work fo rward

    Earl iest Finish Time Rule:

    The earl iest finis h tim e (EF) of an act ivi t yis th e sum of i ts earl iest start t ime (ES)and i ts act iv i ty t ime

    EF = ES + Activ i ty t im e

  • 8/10/2019 Topic 8- Project Management

    30/62

    10/15/2014 NY - KJP 585 2009 30

    AON Example

    Activity Description

    Immediate

    Predecessors

    A Build internal components

    B Modify roof and floor

    C Construct collection stack A

    D Pour concrete and install frame A, B

    E Build high-temperature burner C

    F Install pollution control system C

    G Install air pollution device D, E

    H Inspect and test F, G

    Milwaukee Paper Manu factur ing'sAc t iv i t ies and Predecesso rs

    Table 3.1

  • 8/10/2019 Topic 8- Project Management

    31/62

    10/15/2014 NY - KJP 585 2009 31

    AON Network for Milwaukee

    Paper

    G

    E

    F

    H

    CA

    Start

    DB

    Arrows Show Precedence

    Relat ionships

    Figure 3.8

  • 8/10/2019 Topic 8- Project Management

    32/62

    10/15/2014 NY - KJP 585 2009 32

    Determining the Project Schedule

    Perform a Cri tical Path Analysis

    Ac tivi ty Descr ipt ion Time (weeks )

    A Bui ld internal com ponents 2

    B Modi fy roof and f loor 3C Construct col lect ion stack 2

    D Pour concrete and instal l frame 4

    E Bu i ld high -temperature burn er 4

    F Insta ll pol lu t ion contro l system 3

    G Instal l air pol lut io n device 5

    H Insp ect and test 2

    Total Time (weeks) 25Table 3.2

  • 8/10/2019 Topic 8- Project Management

    33/62

    10/15/2014 NY - KJP 585 2009 33

    ES/EF Network for Milwaukee

    Paper

    Start

    0

    0

    ES

    0

    EF = ES + Act iv i ty t ime

  • 8/10/2019 Topic 8- Project Management

    34/62

    10/15/2014 NY - KJP 585 2009 34

    ES/EF Network for Milwaukee

    Paper

    Start

    0

    0

    0

    A

    2

    2

    EF of A =ES of A + 2

    0

    ESof A

  • 8/10/2019 Topic 8- Project Management

    35/62

    10/15/2014 NY - KJP 585 2009 35

    B

    3

    ES/EF Network for Milwaukee

    Paper

    Start

    0

    0

    0

    A

    2

    20

    3

    EF of B =ES of B + 3

    0

    ESof B

  • 8/10/2019 Topic 8- Project Management

    36/62

    10/15/2014 NY - KJP 585 2009 36

    C

    2

    2 4

    ES/EF Network for Milwaukee

    Paper

    B

    3

    0 3

    Start

    0

    0

    0

    A

    2

    20

  • 8/10/2019 Topic 8- Project Management

    37/62

    10/15/2014 NY - KJP 585 2009 37

    C

    2

    2 4

    ES/EF Network for Milwaukee

    Paper

    B

    3

    0 3

    Start

    0

    0

    0

    A

    2

    20

    D

    4

    73

    = Max (2, 3)

  • 8/10/2019 Topic 8- Project Management

    38/62

    10/15/2014 NY - KJP 585 2009 38

    D

    4

    3 7

    C

    2

    2 4

    ES/EF Network for Milwaukee

    Paper

    B

    3

    0 3

    Start

    0

    0

    0

    A

    2

    20

  • 8/10/2019 Topic 8- Project Management

    39/62

    10/15/2014 NY - KJP 585 2009 39

    E

    4

    F

    3

    G

    5

    H

    2

    4 8 13 15

    4

    8 13

    7

    D

    4

    3 7

    C

    2

    2 4

    ES/EF Network for Milwaukee

    Paper

    B

    3

    0 3

    Start

    0

    0

    0

    A

    2

    20

    Figure 3.11

  • 8/10/2019 Topic 8- Project Management

    40/62

    10/15/2014 NY - KJP 585 2009 40

    Backward Pass

    Begin w ith the last event and work backwards

    Latest Finish Time Rule:

    If an activi ty is an immediate predecesso rfor jus t a sing le act ivi ty, i ts LF equals th eLS of the act iv i ty that immediately fol low s i t

    If an activi ty is an immediate predecesso rto more than one activi ty, i ts LF is the

    m inimum of al l LS values of al l act iv i t iesthat immediately fol low i t

    LF = Min {LS of al l immediate fol low ing activi t ies}

  • 8/10/2019 Topic 8- Project Management

    41/62

    10/15/2014 NY - KJP 585 2009 41

    Backward Pass

    Begin w ith the last event and work backwards

    Latest Start Time Rule:

    The latest start t im e (LS) of an activi ty isthe dif ference of i ts latest f in ish time (LF)and i ts act iv i ty t ime

    LS = LF Act iv i ty t ime

  • 8/10/2019 Topic 8- Project Management

    42/62

    10/15/2014 NY - KJP 585 2009 42

    LS/LF Times for

    Milwaukee Paper

    E

    4

    F

    3

    G

    5

    H

    2

    4 8 13 15

    4

    8 13

    7

    D

    4

    3 7

    C

    2

    2 4

    B

    3

    0 3

    Start

    0

    0

    0

    A

    2

    20

    LF = EFof Project

    1513

    LS = LF Act iv i ty t ime

  • 8/10/2019 Topic 8- Project Management

    43/62

    10/15/2014 NY - KJP 585 2009 43

    LS/LF Times for

    Milwaukee Paper

    E

    4

    F

    3

    G

    5

    H

    2

    4 8 13 15

    4

    8 13

    7

    13 15

    D

    4

    3 7

    C

    2

    2 4

    B

    3

    0 3

    Start

    0

    0

    0

    A

    2

    20

    LF = Min(LS offo l low ing act iv i ty)

    10 13

  • 8/10/2019 Topic 8- Project Management

    44/62

    10/15/2014 NY - KJP 585 2009 44

    LS/LF Times for

    Milwaukee Paper

    E

    4

    F

    3

    G

    5

    H

    2

    4 8 13 15

    4

    8 13

    7

    13 15

    10 13

    8 13

    4 8

    D

    4

    3 7

    C

    2

    2 4

    B

    3

    0 3

    Start

    0

    0

    0

    A

    2

    20

    LF = Min(4, 10)

    42

  • 8/10/2019 Topic 8- Project Management

    45/62

    10/15/2014 NY - KJP 585 2009 45

    LS/LF Times for

    Milwaukee Paper

    E

    4

    F

    3

    G

    5

    H

    2

    4 8 13 15

    4

    8 13

    7

    13 15

    10 13

    8 13

    4 8

    D

    4

    3 7

    C

    2

    2 4

    B

    3

    0 3

    Start

    0

    0

    0

    A

    2

    20

    42

    84

    20

    41

    00

  • 8/10/2019 Topic 8- Project Management

    46/62

    10/15/2014 NY - KJP 585 2009 46

    Computing Slack Time

    After compu ting the ES, EF, LS, and LF t imes

    for al l act iv i t ies, compu te the slack or free

    t ime for each act iv i ty

    Slack is the leng th o f t ime an act iv i ty canbe delayed w ithout delaying the entireproject

    Slack = LSES or Slack = LF EF

  • 8/10/2019 Topic 8- Project Management

    47/62

    10/15/2014 NY - KJP 585 2009 47

    Computing Slack Time

    Earl iest Earl iest Latest Latest OnStart Finish Start Finish Slack Crit ical

    Ac t iv i ty ES EF LS LF LSES Path

    A 0 2 0 2 0 Yes

    B 0 3 1 4 1 NoC 2 4 2 4 0 Yes

    D 3 7 4 8 1 No

    E 4 8 4 8 0 Yes

    F 4 7 10 13 6 NoG 8 13 8 13 0 Yes

    H 13 15 13 15 0 Yes

    Table 3.3

  • 8/10/2019 Topic 8- Project Management

    48/62

    10/15/2014 NY - KJP 585 2009 48

    Critical Path for Milwaukee Paper

    E

    4

    F

    3

    G

    5

    H

    2

    4 8 13 15

    4

    8 13

    7

    13 15

    10 13

    8 13

    4 8

    D

    4

    3 7

    C

    2

    2 4

    B

    3

    0 3

    Start

    0

    0

    0

    A

    2

    20

    42

    84

    20

    41

    00

    What is the project completion time?

  • 8/10/2019 Topic 8- Project Management

    49/62

    10/15/2014 NY - KJP 585 2009 49

    Critical Path And Slack Times

    For Milwaukee Paper

    Figure 3.17

    E

    4

    F

    3

    G

    5

    H

    2

    4 8 13 15

    4

    8 13

    7

    13 15

    10 13

    8 13

    4 8

    D

    4

    3 7

    C

    2

    2 4

    B

    3

    0 3

    Start

    0

    0

    0

    A

    2

    20

    42

    84

    20

    41

    00

    Slack= 1 Slack= 1

    Slack= 0 Slack= 6

    Slack= 0

    Slack= 0

    Slack= 0

    Slack= 0

  • 8/10/2019 Topic 8- Project Management

    50/62

    10/15/2014 NY - KJP 585 2009 50

    ES EF Gantt Chartfor Milwaukee Paper

    A Bu i ld internal

    components

    B Modi fy roof and f loor

    C Construc t col lect ion

    stack

    D Pour conc rete and

    ins tal l frame

    E Bui ld h igh-

    temperature burner

    F Instal l pol lut ion

    cont ro l sys tem

    G Instal l air po l lut ion

    device

    H Insp ect and test

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

  • 8/10/2019 Topic 8- Project Management

    51/62

    10/15/2014 NY - KJP 585 2009 51

    LS LF Gantt Chartfor Milwaukee Paper

    A Bu i ld internal

    components

    B Modi fy roof and f loor

    C Construc t col lect ion

    stack

    D Pour conc rete and

    ins tal l frame

    E Bui ld h igh-

    temperature burner

    F Instal l pol lut ion

    cont ro l sys tem

    G Instal l air po l lut ion

    device

    H Insp ect and test

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

  • 8/10/2019 Topic 8- Project Management

    52/62

    10/15/2014 NY - KJP 585 2009 52

    Advantages of PERT/CPM

    1. Espec ial ly usefu l when schedu l ing and

    con tro l ling large pro jects

    2. St raigh t fo rward concep t and not

    mathemat ically complex

    3. Graph ical networks help h igh ligh t

    relationsh ips among p roject act iv i t ies

    4. Cri ti cal path and s lack t ime analyses helppinpo int act iv i t ies that need to be closely

    watched

  • 8/10/2019 Topic 8- Project Management

    53/62

    10/15/2014 NY - KJP 585 2009 53

    Advantages of PERT/CPM

    5. Projec t documen tation and graph icspoint ou t who is responsib le for var iousact iv i t ies

    6. App licab le to a w ide var iet y o f pro jec ts

    7. Usefu l in mon ito r ing no t on ly schedu lesbut costs as wel l

  • 8/10/2019 Topic 8- Project Management

    54/62

    10/15/2014 NY - KJP 585 2009 54

    1. Pro jec t act iv i ties have to be c lear lydef ined, independen t, and s table in theirrelat ionships

    2. Precedence relat ionsh ips must bespeci f ied and netwo rked together

    3. Time es t imates tend to be sub jec t ive andare sub ject to fudging by managers

    4. There is an inherent danger of too muchemphasis being placed on the longest , orcri t ical , path

    Limitations of PERT/CPM

  • 8/10/2019 Topic 8- Project Management

    55/62

    10/15/2014 NY - KJP 585 2009 55

    1. Ef fec t ively v isual technique for der iv ing aplan for manpower or machine basedrequ irement in a pro ject

    2. Avai lab i li ty to determine whether theproject can be completed wi th in t ime andbudget

    Resource Histogram

  • 8/10/2019 Topic 8- Project Management

    56/62

    10/15/2014 NY - KJP 585 2009 56

    01

    2

    3

    4

    5

    6

    7

    8

    9

    10

    No.ofResources

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

    Week

    Resource Histogram

    Resources

    Resource Histogram

    CPM Example 1

  • 8/10/2019 Topic 8- Project Management

    57/62

    10/15/2014 NY - KJP 585 2009 57

    CPM Example-1

    Hij jaz Management is developin g a program in leadership training form iddle- level managers. Hij jaz has l isted several act iv i t ies that mu stbe completed b efore a train ing p rogram o f th is n ature could be

    con ducted. The act iv i t ies, immediate predecesso rs, and t imes appearin the accompanying table

    Activity Immediate Predecessor (s) Time (Days)

    A - 2

    B - 5

    C - 1

    D B 10

    E A,D 3

    F C 6

    G E,F 8

    a) Deve lop an AON network for th is prob lem

    b) What is the cr it ical path?

    c) What is the to tal comp let ion t ime?

    d) What is the s lack t ime for each ind iv idua l act iv ity?

  • 8/10/2019 Topic 8- Project Management

    58/62

    10/15/2014 NY - KJP 585 2009 58

    CPM Example

    Solution: AON network diagram

  • 8/10/2019 Topic 8- Project Management

    59/62

    10/15/2014 NY - KJP 585 2009 59

    (b) Critical path is BDEG

    (c) Total project takes 26 days

    (d) Slack time: please refer to the above table.

    Activity Time ES EF LS LF Slack Critical

    A 2 0 2 13 15 13 No

    B 5 0 5 0 5 0 Yes

    C 1 0 1 11 12 11 No

    D 10 5 15 5 15 0 Yes

    E 3 15 18 15 18 0 Yes

    F 6 1 7 12 18 11 No

    G 8 18 26 18 26 0 Yes

    CPM Example

    CPM Example - 2

  • 8/10/2019 Topic 8- Project Management

    60/62

    10/15/2014 NY - KJP 585 2009 60

    CPM Example 2

    The act iv i t ies desc r ibed by th e fol low ing table are given for the

    Standard Task Corp .

    Activity Immediate Predecessor (s) Time (Days)

    A - 9

    B A 7

    C A 3

    D B 6

    E B 9

    F C 4

    G E,F 6

    H D 5

    I G,H 3

    a) Draw an appropriate AON CPM Diagram for Standard Task Corps Management

    b ) Find the Cri ti cal Path

    c ) What is the pro jec t comp let ion t ime? How can you shor ten the pro ject

    com plet ion t ime.

  • 8/10/2019 Topic 8- Project Management

    61/62

    10/15/2014 NY - KJP 585 2009 61

    CPM Example

    Solution: AON network diagram

    S

    CPM E l

  • 8/10/2019 Topic 8- Project Management

    62/62

    CPM Example

    Task Time ES EF LS LF Slack

    A 9 0 9 0 9 0

    B 7 9 16 9 16 0

    C 3 9 12 18 21 9

    D 6 16 22 20 26 4

    E 9 16 25 16 25 0

    F 4 12 16 21 25 9

    G 6 25 31 25 31 0

    H 5 22 27 26 31 4I 3 31 34 31 34 0

    Activities on the critical path: A, B, E, G, I

    Project completion time 34