om lec 5- project management
TRANSCRIPT
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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)