Activity
Activity
Duration
Duration
Estimating
Estimating
Estimate activity duration is the
Estimate activity duration is the process
process
of approximating the number of work
of approximating the number of work
periods needed to complete individual
periods needed to complete individual
activities with
Estimate
Estimate
Activity
Activity
Duration
Duration
•
• Input:Input:
–
– Activity ListActivity List
–
– Activity AttributesActivity Attributes
–
– Activity Resource RequirementActivity Resource Requirement
–
– Resource CalendarsResource Calendars
–
– Project Scope StatementProject Scope Statement
–
– Enterprise environmental factors (Databases and Ref. data, Productivity metrics &Enterprise environmental factors (Databases and Ref. data, Productivity metrics &
published commercial
published commercial informationinformation
–
– Organizational Process Assets -Historical, Project Calendar, SchedulingOrganizational Process Assets -Historical, Project Calendar, Scheduling
methodology, Lesson Learnt methodology, Lesson Learnt
•
• TTools ools & T& Techechniqniquesues
–
– Expert JudgmentExpert Judgment
–
– Analogous estimating (Duration, budget, size, weight & Complexity from a previousAnalogous estimating (Duration, budget, size, weight & Complexity from a previous
project) project)
–
– Parametric estimating (square footageParametric estimating (square footage – – cost budget & duration) cost budget & duration)
–
– Three-point estimates (PERT) Most likely, Optimistic, Pessimistic = te = to + 4tmThree-point estimates (PERT) Most likely, Optimistic, Pessimistic = te = to + 4tm
+tp / 6 +tp / 6
–
– Reserve analysis (Cater for schedule uncertainty)Reserve analysis (Cater for schedule uncertainty)
•
• OutputsOutputs
–
– Activity duration estimates (@ weeks +- 2 Activity duration estimates (@ weeks +- 2 days etc)days etc)
–
– Project document updates (activity Project document updates (activity attributes, attributes, assumptions made in developing theassumptions made in developing the
activity duration) activity duration)
Padding:
◦
With the help of WBS
◦
work package (the WBS dictionary)
◦
activity list.
◦
Equip the estimator relevant
information.
Padding is a sign of unprofessional project management
So, what is wrong with padding?
◦
A pad is extra time or cost added to an estimate.
Padding:
Padding is a sign of unprofessional project management!
◦ In cases where the estimator has many unknowns, the need for a pad should
be addressed through the risk management process, and the uncertainties should be turned into identifiable opportunities and threats (risks).
◦ Uncertainties should not remain hidden; instead, they need to be identified
and addressed openly with the project manager.
Think about what happens if all or many of your estimates are padded: you have
a schedule that no one believes.
◦ If that is the case, why even bother creating a schedule?
◦ In the real world, we need the schedule to manage the project against, so we
need it to be as believable and realistic as possible and we need to adhere to it.
◦ To be a successful project manager, you need to be able to make sure the
agreed-upon project completion date (or cost) is met.
◦ It is important to understand that padding is a sign of poor project
Exercise 1
What do you need before you try to
A
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1
:
W
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a
t
d
o
y
o
u
n
e
e
d
b
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f
o
r
e
y
o
u
t
r
y
t
o
d
e
v
e
l
o
p
a
s
c
h
e
d
u
l
e
f
o
r
y
o
u
r
p
r
o
j
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c
t
?
An understanding of the work required on the project (project scope statement) Defined activities (WBS, WBS dictionary and activity list)
The order of how the work will be done (activity sequencing)
An estimate of the resources needed (activity resource estimating)
An estimate of the duration of each activity (activity duration estimating)
Let's get more specific. You should also have:
• A company calendar identifying what are the working and non-working
days • Imposed dates • Milestones • Assumptions • Constraints • Activity list
• Risk management plan-because it includes a schedule and budget for
performing risk
• identification, qualitative risk analysis and other risk management
activities
• Risk register-because it includes risks known to date • Leads and lags
Exercise
Exercise
2
2
Now
Now
,
,
Please thin
Please thin
k
k
about the r
about the r
eal w
eal w
orld and
orld and
create a schedule that you will be
create a schedule that you will be
able to
able to
stake your r
stake your r
eputation
eputation
& SUGGEST
& SUGGEST
What would y
What would y
ou need to do in order to
ou need to do in order to
take the estimating data and create a
take the estimating data and create a
finalized schedule?
w w e e r r e e 2 2 : : T T h h i i n n k k a a b b o o u u t t t t h h e e r r e e a a l l w w o o r r l l d d . . Y Y o o u u n n e e e e d d t t o o c c r r e e a a t t e e a a s s c c h h e e d d u u l l e e t t h h a a t t y y o o u u w w i i l l l l a a b b l l e e t t o o s s t t a a k k e e y y o o u u r r r r e e p p u u t t a a t t i i o o n n
o o n n m m e e e e t t i i n n g g . . W W h h a a t t w w o o u u l l d d y y o o u u n n e e e e d d t t o o d d o o i i n n e e r r t t o o t t a a k k e e t t h h e e e e s s t t i i m m a a
t t i i n n g g d d a a t t a a a a n n d d c c r r e e a a t t e e s s u u c c h h a a f f i i n n a a l l i i z z e e d d s s c c h h e e d d u u l l e e ? ? 1.
1.
Work with stakeholders' priorities
Work with stakeholders' priorities
2.
2.
Look for alternative ways to complete the
Look for alternative ways to complete the work
work
3.
3.
Look for impacts on other projects
Look for impacts on other projects
4.
4.
Meet with
Meet with managers to negotiate for
managers to negotiate for resour
resource availabilit
ce availabilityy
5.
5.
Give the team a chance to approve the final schedule. They might have
Give the team a chance to approve the final schedule. They might have
estimated an activity, but should also look at the calendar allocation of
estimated an activity, but should also look at the calendar allocation of
their estimates to see if
their estimates to see if they are feasible
they are feasible
6.
6.
Adjust all the components of the project management plan
Adjust all the components of the project management plan
7.
7.
Simulate the project using Monte Carlo analysis
Simulate the project using Monte Carlo analysis
8.
8.
Level resources
Level resources
9.
9.
Conduct meetings and
Conduct meetings and conv
conversations to gain
ersations to gain stakeholder and
stakeholder and
management formal approval
management formal approval
The data available so far is put into a schedule, called the schedule model, and
The data available so far is put into a schedule, called the schedule model, and
the project manager then
the project manager then performs various calculations and alternative what-
performs various calculations and alternative
what-if analysis to
if analysis to determine the
determine the optimum schedule.
optimum schedule.
Schedule development is iterative
Schedule development is iterative
and will occur
and will occur
many times over the
many times over the
life of the project (at least once per project life cycle phase).
Conflict Intensity Over the Life of a
Conflict Intensity Over the Life of a
Project
Project
0.00
0.00
0.05
0.05
0.10
0.10
0.15
0.15
0.20
0.20
0.25
0.25
0.30
0.30
0.35
0.35
0.40
0.40
Project Project Formation Formation EaEarly rly PhPhaseases s MidMiddldle e PhPhaases ses EnEnd d PhPhasesases
C C o o n n f f l l i i t c c t I I n n t t e e n n s s i i t t y y Schedules Schedules Priorities Priorities Manpower Manpower Technical opinions Technical opinions Procedures Procedures Cost Cost Personality conflicts Personality conflicts Average Average Total Conflict Total Conflict
Develop Schedule
• Develop Schedule is the process of analyzing activity sequence, duration, resource
requirements and constraints to create project schedules
• Input
– Activity List
– Activity Attributes
– Project Schedule Network Diagrams
– Activity Resource Requirements
– Resource Calendars
– Activity duration estimates
– Project Scope Statement
– Enterprise environment factors
– Organizational process assets
• Tools & Techniques
– Schedule network analysis
– Critical path method
– Critical chain method (manage limited resources)
– Resource Leveling
– What-if scenario analysis
– Applying leads and lags
– Schedule compression
– Scheduling tool
• Output
– Project Schedules (milestone chart, bar charts, project schedule network diagrams)
– Schedule baseline Component of project management plan with baseline start & finish dates.
– Schedule Data (resource requirement by time period in resource histogram best & worst case
Schedule Network Analysis
PERT
Critical path method
Schedule compression
What-if scenario analysis
Resource leveling
PERT
In PERT analysis, instead of obtaining one
estimate from each expert, experts are
asked to provide an optimistic, realistic and
pessimistic estimate.
PERT
Optimistic
Realistic
Pessimistic
6
estimate
Optimistic
estimate
Realistic
4
estimate
c
Pessimisti
duration
Expected
PERT Dialogue
How long do you think it would take
to send 100 surveys out?
PERT Dialogue
It all depends. I have seen people do it in 6 hours and I have seen others do it in 1 hour.
PERT Dialogue
But given what I know about your operations I
think it will take 2 hours.
PERT Dialogue
5
.
2
6
15
6
1
2
4
6
duration
Expected
Pessimistic estimate = 6 hours
Optimistic estimate = 1 hour
Realistic estimate = 2 hours
PERT Formula and Example
PERT weighted average =
optimistic time + 4 * most likely time + pessimistic time
6
Example:
optimistic time= 8 days
most likely time = 10 days
pessimistic time = 24 days
PERT weighted average =
8 workdays + 4 X 10 workdays + 24 workdays = 12 days
6
Therefore, you’d use
12 days on the network diagram instead of 10
when using PERT for the above example.
Take Home Lesson
Estimate-Talk-Estimate and PERT method can
increase accuracy of estimate of duration of
activities
Estimates are in hours. It is best to calculate to three decimal
places and round to two decimal pIaces.
Expected Activity Duration = (P+4M+O)/6 Activity Standard Deviation = P-O/6
Activity Variance = [(P-O)/6]2
PERT: Example 1
P M O PERT or Expected duration Activity StandardDeviation Activity Variance (Rance of Estimate) Range of the estimate A 47 27 14
B 89 60 41 C 48 44 39 D 42 37 29
PERT
P M O PERT or Expected duration Activity StandardDeviation Activity Variance (Rance of Estimate) Range of the estimate
A 47 27 14 28.167 5.500 30.250 22.667 to 33.667 or 28.167 +/- 5.500
B 89 60 41 61.667 8.000 64.000 53.667 to 69.667 or 61.667 +/- 8.000
C 48 44 39 43.833 1.500 2.250 42.333 to 45.333 or 43.833 +/- 1.500
PERT
Note that the previous formulas relate to activities, rather than the overall project. But
knowing the ranges of individual activity duration estimates is not enough to manage a project successfully; you need to understand how these ranges affect the overall project duration estimate in order to effectively address variations on your project.
Range for the overall project duration estimate is not as simple as finding the range
for an individual activity estimate. You start by finding the expected project duration:
◦ This is the sum of the PERT estimates (EADs, or Expected Activity Durations) for each
activity on the critical path. You then find the standard deviation for the project.
◦ You cannot simply add the standard deviations for each activity on the critical path. ◦ Instead, you must calculate the variances for each critical path activity,
◦ Add those variances, and then take the square root of the sum of the activity
variances.
◦ So the project duration estimate range is the expected project duration (the sum of the
FADS) plus or minus the project standard deviation (the square root of the sum of the activity variances).
PERT: Exercise 2
Assuming that the activities listed in Exercise 1, make up the entire critical path for the project,
how long should the project take?
The answer is 170.167 hours +I- 10.06 hours at one standard deviation.
P M O PERT or Expected duration Activity Standard Deviation Activity Variance (Rance of
Estimate) Range of the estimate
A 47 27 14 28.167 5.500 30.250 22.667 to 33.667 or 28.167 +/- 5.500 B 89 60 41 61.667 8.000 64.000 53.667 to 69.667 or 61.667 +/- 8.000 C 48 44 39 43.833 1.500 2.250 42.333 to 45.333 or 43.833 +/- 1.500 D 42 37 29 36.500 2.167 4.696 34.3333 to 38.667 or 35.500 +/- 2.167
For Critical Path: 170.167 101.196
160.167 to 180.227 or 170.167 +/-10.060 10.059622 Project PERT or Expecte d Duration Project Standard Deviation Project Varianc
e Range of the Estimate
Project PERT or Expected Duration Project Standard Deviation Project
Variance Range of the Estimate Project
Duration
The expected duration of the project, 170,167, is found by adding the PERT
estimates for each of the critical path activities (in this case, all the activities listed).
The +I- 10.06 represents the standard deviation of the estimate (the range of the estimate)
and is found by adding the variances of the critical path activities, total of 101.196, and
taking the square root to get 10.060.
In order to find the standard deviation of a series of items, remember the rule.
You cannot add standard deviations; you must convert standard deviations into variances, add the variances, and then take the square root of the total to
convert back into standard deviation.
This calculation means adding 30.250 + 64.000 + 2.250 + 4.696 and taking the
square root to find 10.06.
Therefore, if we add one standard deviation to the PERT total (for a 68.26
percent confidence level ; see the Quality Management), the project would not be estimated to take 170.167 hours, but between 160.107 hours and 180.227 hours. If we add two standard deviations (for a 95.46 percent confidence Ievel), the project would be estimated to take between 150.047 hours and 190.287 hours (170.167 +I- 20.12).
PERT: Exercise 2
Critical Path Method
The critical path method includes
determining the longest path in the
network diagram (the critical path) and the
earliest and latest an activity can start and
the earliest and latest it can be completed.
The critical path is the longest duration
path through a network diagram and
determines the shortest time to complete
the project.
How does the critical path help the
project manager?
Helps prove how long the project will take
Helps the project manager determine where
best to focus their project management efforts
Helps determine if an issue needs immediate
attention
Provides a vehicle to compress the schedule
during project planning and whenever there
are changes
Provides a vehicle to determine which
activities have float and can therefore be
delayed without delaying the project
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Near-Critical Path
In addition to the critical path, a smart project
manager should be familiar with the concept of a
near-critical path.
This path is close in duration to the critical path.
Something could happen so the critical path is
shortened, or the near-critical path lengthened so
the near-critical path becomes critical.
The closer the near-critical and critical paths are,
the more risk the project has.
The project manager should spend more time
and effort monitoring and controlling critical and
near-critical path activities so they don't delay the
project completion.
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Float (Slack)
Total float (slack) The amount of time an activity
can be delayed without delaying the project end date
or and intermediary milestone. This is the key type of
float, but there are others.
◦
Please note that the terms float and slack mean the
same thing.
Free float (slack) The amount of time an activity
can be delayed without delaying the early start date
of its successor(s).
Project float (slack)
The amount of time a project
can be delayed without delaying the externally
imposed project completion date required by the
customer, management, or previously committed to
by the project manager.
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Activities on the critical path almost always have zero float. Critical path
activities that are delayed or have dictated dates can result in negative float.
Float = LS – ES Float = LF - EF
HOW
◦ Once you know the critical path and any near-critical paths, you can
use float as a way to focus your management of a project.
◦ Better allocation of resources.
◦ For example, let's say you have a resource who is not very
experienced and you must make use of him. You can assign him, assuming he has the skill set, to work on the activity with the most float. This gives you some safety that even if his activity takes longer, the project will not be delayed.
◦ Float also helps team members juggle multiple projects.
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Float (Slack)
Critical Chain Scheduling
Critical Chain Project Management (CCPM),
developed by Eliyahu M. Goldratt, is a
method of planning and managing projects
that puts more emphasis on the resources
required to execute project tasks.
A Critical Chain project network will tend
to keep the resources levelly loaded, but will
require them to be flexible in their start
times and to quickly switch between tasks
and task chains to keep the whole project
on schedule.
◦
Typically, CCPM case studies report 95% on-time
and on-budget completion when CCPM is
Wake UP ….
QuiZ
Can there be more than one critical path?
Yes, you can have two, three or many critical paths. Do you want there to be?
No, it increases risk.
Can a critical path run over a dummy? Yes.
Why is a dummy included in a network diagram?
To show interdependencies of activities on an activity-on-arrow diagram. Can a critical path change?
Yes. .
How much float does the critical path have? The critical path should have zero float.
Can there be negative float? Yes, it shows you are behind.
Does the network diagram change when the end date changes?
No, not automatically, but the project manager should investigate options such as fast
tracking and crashing the schedule to meet the new date and then, with approved changes, change the network diagram accordingly.
Would you leave the project with a negative float? No, you would compress the schedule.
Exercise: 1
Let's start with an exercise that uses the AOA type diagram. You can complete these exercises without using a forward and backward pass. Using the table below, draw the network diagram and answer the questions.
1) What is the critical path?
2) If the duration of Activity C-E changes to 2,what is the effect on the project?
3) What activity (activities) must be completed before Activity C-D begins? 4) If management tells you to complete the project two weeks early, what is the project float? Does the critical path change?
1)
2)
3) Start-A, A-C, and Start-B.
Caution!!! The question is really trying to get you to
answer Start-B because that is what the dummy is for,
to show that dependency. Remember there are no
one-letter activity names (e.g., not activity C, but activity
A-C. B-C is a dummy, not an activity.
4) The project float is -2 and the critical path would not
change. This question is about project float.
Remember project float compares the project
length to an external due date.
Exercise 2
What is the critical path?
What is the near-critical path and what does knowing
this information about this project tell you?
If the duration of activity Start-B changes to 4, what is
Exercise 2
Start-A, A-C, C-F, F-End. It has a duration of 21 weeks.
There are two near-critical paths, each with a duration of 20. This
tells you that the project has more risk than a project with only
one near-critical path with a wider difference in length between
the critical and near-critical paths.
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3
You are the project manager for a new project and have figured out the following
dependencies.
Activity 1 can start immediately and has an estimated duration of three weeks.
Activity 2 can start after activity 1 is completed and has an estimated duration of three
weeks.
Activity 3 can start after activity 1 is completed and has an estimated duration of six weeks. Activity 4 can start after activity 2 is completed and has an estimated duration of eight weeks. Activity 5 can start after activity 4 is completed and after activity 3 is completed. This activity
takes four weeks. Questions:
1. What is the duration of the critical path? 2. What is the float of activity?
3. What is the float of activity 2?
4. What is the float of the path with the longest float?
5. The resource working on activity 3 is replaced with another resource who is less
experienced. The activity will now take l0 weeks. How will this affect the project?
6. Using the original information, after some arguing between stakeholders, a new activity 6 is
added to the project. It will take 11 weeks to complete and must be completed before
activity 5 and after activity 3.Management is concerned that adding the activity will add 11
weeks to the project. Another stakeholder argues the time will be less than 11 weeks. Who is correct?
Exercise 3
1) The length of the critical path is 18. There are two paths here:
2) LF - EF = 14 - 9 = 5 3) Zero
4) Five weeks. There are only two paths in this example; Start, 1, 2, 4, 5, End and Start, 1, 3, 5, End. The length of the non-critical path (Start, i,3,5, End) is 13. The length of the project is 18 and 18 - 13 is 5. The total float of the path with the longest float is
Total Length = 18 Weeks
Exercise 3
5) It will have no effect. The length of path activities 1,3,5 is 13. Adding four more weeks to the length of activity 3 will take that path 17. Since it is shorter than the critical path, the critical path does not change. The length is still 18 weeks because activity 3 is not on the critical path.
6) The stakeholder. This new activity will be added to a non-critical path that has float of 5 weeks. Therefore, adding 11 weeks will make this path the new critical path. The overall effect will be that adding an activity that takes 11 weeks will only delay the project by 6 weeks.
7) Six weeks longer. (NOTE: if you answered 24, it means you did not read the question correctly!) Follow the dark line in the diagram below.
Exercise 4
1.
What is the duration of the
critical path?
2.
To shorten the length of the
project, the sponsor has offered
to remove the work of activity
E from the project, making
activity D the predecessor to
activities G and F. What will be
the effect?
3.
What is the float of activity B?
4.What is the float of activity E?
5.What is the float of activity D?
Exercise 4
1) The critical path (project duration) is 33 months.
2) No effect on the critical path. The paths are now:
Exercise
4
Total Length = 33 Months
3) Float B = LF - EF (or 33 - 18) = 15 4) Float E = LF - EF (or 13 - 12) = 1 5) Float D = 5 - 4 = 1 month.
Schedule Compression
Who’s fault to have an
unrealistic schedule:
Many project managers think an unrealistic schedule is
their boss' fault,
when it is really a lack of good project management; it is
the project manager's fault!
One of the most common problems
Schedule Compression
When do you need Schedule
compression
◦
project planning when the customer
requires a completion date that cannot be
met, or
◦
during project executing when the project
manager needs to bring the project back in
line with the schedule baseline or to adjust
the project for changes.
Schedule Compression
–
Techniques:
Fast Tracking
Crashing
Schedule Compression
–
Technique: Fast Tracking
Doing critical path activities in parallel that
were originally planned in series.
Issues with Fast Tracking:
Rework,
Increases risk
Schedule Compression
–
Technique: Fast Tracking
Using the network diagram above, what activity would you fast
track to shorten the project length?
•
Activity H could be fast tracked by making it occur at the same time,
or in parallel with, activity G.
•
Activities C and H (or any other pair of activities on the critical path)
could also be fast tracked by having part of activity C done
concurrently with activity H.
Schedule Compression
–
Technique: Crashing
Cost and schedule tradeoffs are analyzed to
determine the greatest amount of compression
for the least incremental cost. Crashing, by
definition, almost always results in increased
costs.
For example, using the diagram shown in the
previous fast tracking discussion, resources
could be added to activity G or any other
activity on the critical path.
These resources could be acquired from
Schedule Compression
–
Technique: Crashing
Fast Tracking or Crashing
In crashing or fast tracking, it is best to see all potential choices and
then select the choice or choices that have the least impact on the
project.
If you have negative project float (the estimated completion date is after
the desired date) would your first choice be to tell the customer the
date could not be met or to ask for more time?
◦ No, the first choice would be to analyze what could be done about
it by compressing the schedule.
If you have to choose between crashing and fast tracking, what would
you do?
◦ Adding resources to the project would generally cost more than fast tracking. ◦ However, crashing can also mean moving resources around within the
project.
If making such moves does not add cost, then
crashing would be preferable to fast tracking.
Exercise
During project planning, the project duration is estimated to be 33 months. However, you have been given a completion date of 30 months. Using the
network diagram below, and the limited information available, describe as many options as possible for shortening the schedule to 30 months.
Make any assumptions you need to make in order to come up with as many options as possible.
Which of the options listed is the best? To answer the question, think
of the impacts to the project of each one.
◦ Is it option 7? Why not cut quality?
◦ Is there another option? Why not do what many project managers do, ask
for more resources? But adding resources may also add cost.
◦ Why not work overtime? Overtime should be one of the last choices. Most
organizations are working at close to 100 percent capacity. Your project working overtime removes the possibility of resources working on
emergencies for any other project they are working on, thereby putting other projects at risk. Besides, how much overtime can one take? Overtime is not always free.
Why not do something that does not add cost to your project?
The first, and possibly the best, choice is to look at risks. Once it is
known the schedule (or budget) must be reduced, a project manager
can investigate the activity estimates that contain the most unknowns,
eliminate or reduce these "risks" and thus decrease the estimate.
Eliminate risks in the risk
management process and everyone
wins!
What are the impacts of different
schedule shortening options?
Fast track
◦
Adds risk
◦
May add management time for the project manager
Crash
◦
Almost always adds cost
◦
May add management time for the project manager
Reduce scope
◦
Could save cost and time
◦
May negatively impact customer satisfaction
Cut quality
◦
Could save cost and resources
◦May increase risk
Exercise:
1) Imagine that this project has a project float of -3 months. Which activity or activities presented above would you crash to save three months on the project, assuming that the activities listed above represent critical path activities?
2) How much would it cost to crash this project? The options to save three months are:
1) Activities F and H is the least expensive
Exercise
Consider: Management has told you to get the project completed two weeks early. What is the BEST thing for you to do?
A. Consult the project sponsor B. Crash
C. Fast track
D. Advise the customer (management) of the impact of the change Did you get fooled by this question?
Did you think you had to choose between crashing and fast tracking?
There is no information in the first part of this exercise to help you determine which one is better.
Therefore, the best choice presented is D, inform the customer of the impact of the change.
The exam will ask many such questions requiring you to know that you analyze first and then let management, the sponsor, the customer or other parties know the impact of their requests. A project manager does NOT just say yes!
He could say, for example,
"Yes, I would be happy to make the change, BUT the project will
be delayed by two weeks, I will need two more resources or the
Exercise :
Suppose we have a project with only 8 activities as shown in the table. Critical Path is ADEH = 27 Days.
Please determine , which activities are the Optimal candidates for crashing. Please calculate
A) Cost of crashing for each activity. B) Project cost by duration
E
x
e
r
c
i
s
e
Cost of crashing Each Activity ACTIVITY
PROJECT
TOTAL COST CRASH COST
PROJECT DURATION 22450 27 A 22700 250 26 A 22950 25 E 24700 1750 24 E 26450 23 E 28200 22 H 30200 2000 21 H 32200 20