Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Assignment # 1
Introduction & Definitions
Answer the following questions
Question 1
a) Write briefly, what you know about the following items:
1. Project major stakeholders and Conflict of interests
2. Procurement
3. Project Management Objectives;
4. Topics of Project Management according to PMBOK;
5. Project;
6. Activity;
7. Feasibility study
b) Explain briefly the five phases of a construction project and draw a bar chart
showing the sequence of these phases.
c) What are the main activities of constructing a villa and their dependencies?
Organize your solution in table to show activity ID, Name, and Predecessors.
Assume any missing data you may need.
d) Explain the different types of management skills, showing their relation with
managers at different management levels.
Question 2
Project Planning & Scheduling is a major topic in Project Management. Explain the
typical steps required to generate a Time Schedule for any construction Project.
Page 1 of 11
Dr. Yasser Elfahham & PM staff
Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Assignment # 2
Critical Path Method (CPM)
Activity – On – Node (AON)
Question 1
Mention what is meant by the following items:
a)
b)
c)
d)
e)
f)
g)
h)
Project Scheduling
Types of Networks;
Bar Chart (Gantt Chart);
Finish to Start Relationship;
Dependency;
Successor Activity;
Early times; and
Late times.
Question 2
Draw the following network using Activity – On – Node (AON) for the following
project:
Activity
A
B
C
D
Duration
2
5
7
9
Depends on
-A
A
B&C
Question 3
Draw the AON for the following project, Calculate the Early and Late times of
activities, Calculate Project Duration, Highlight the Critical Path on the network,
Calculate the Total Float for All activities, and Draw Bar based on early times:
Activity ID
A
B
C
D
E
F
G
Page 2 of 11
Depends on
----A
B
B
C, D
C, D
duration(weeks)
8
2
5
3
12
4
6
Dr. Yasser Elfahham & PM staff
Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Question 4
What is the Project duration (PDmin) for the next project by using Precedence
Diagramming Method (PDM)? Given that the Contract Duration (PDmax) = 45 days,
highlight and write the critical path.
Activity
Predecessor (S)
A
B
C
D
E
F
G
H
I
J
K
---A
A,B
B
E
G
F
C,E
J,H
Quantity
Units
1,000
500
700
1,500
2,200
900
1,750
2,000
5,000
950
777
Production Rate
(Units/day)
200
150
300
500
220
300
750
250
800
1,000
140
Question 5
Construct the PDM network represented by the data below:
Activity
A
B
C
D
E
F
G
Page 3 of 11
Duration
(week)
4
5
3
3
6
2
5
ES
LS
0
0
0
4
5
7
11
2
0
6
6
5
9
11
Dr. Yasser Elfahham & PM staff
Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Assignment # 3
Critical Path Method (CPM)
Activity – On – Node (AON) with relationships
Question 1
The following table represents the activities required for a small project. The Contract
calls for completing the project within 40 days. Using Activity - On - Node (AON)
method, calculate the following:
a) ES, EF, LS, LF for all activities and Project Duration
b) TF and FF for activities A, C, H, I
c) Clarify the critical path on the network
d) Draw the Bar (GANTT) chart
Activity ID
A
B
C
D
E
F
G
H
I
J
K
Pred.
------A
A,B
B,C
C
G
E,F
D,E
D, J, H
Duration (days)
5
4
4
10
8
3
6
8
14
12
6
Relationship and Lag
------SS=4
FS=2
FS=0
FF=3
SF=8
FS=1, FF=2
FS=0
FS=0
Question 2
For the project shown in the following table, you are required to:
1. Complete the missing data in the table
2. Draw the activity-on-node (AON) network if all Relations between activities are
FS=0. clarify the longest path on the network
activity Duration Early
Early
Late
Late
Total
Free
(days)
start
finish
start
finish
float
Float
A
5
0
0
B
C
D
E
F
G
Page 4 of 11
6
2
4
3
8
1
5
11
0
4
11
19
0
6
1
4
0
0
Dr. Yasser Elfahham & PM staff
Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Assignment # 4
Project Calendar
Question 1
A security room project contains the following activities:
Activity ID
Activity Name
Depends on
Relationships
&lag
Original
duration(day)
A
footing
---
B
R.C skeleton
A
---
FS = 0
7
5
C
masonry
B
SS=3
FF=5
F
finishing
C
2
13
FS=2
Given that the project starts on Monday, 1- 1 - 2018, the contractor considers Friday
and Saturday as weekends, and the period from 8 to 10 January 2018 is non- working
period. It is required to:
1. Calculate the CPM days and clarify the critical path on the network.
2. Calculate the project duration due to an increase of 3 days in the duration of
activity B
3. Calculate the activity dates considering the given calendar and draw the bar chart
using Calendar days.
Question 2
The following tables illustrate the data for the CPM diagram for a project. The project
start date is thursday1 st March 2018; Workdays per week equal six, and the week start
on Saturday. It is required to find activity dates (ES, EF, LS, and LF)
Activity ID
A
B
C
D
H
J
M
Q
Page 5 of 11
Successor
activity(s)
B
C
D
D
M
J
H
Q
-H
--
Duration
(days)
3
8
12
5
6
3
6
8
Relationship &time Lag
SF=5
FS=0
FF=10
FS=2
FS=2
FS=0
SS=4
FS=2, FF=6
-FS=0
-Dr. Yasser Elfahham & PM staff
Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Assignment # 5
Critical Path Method (CPM)
Activity – On – Arrow (AOA)
Question 1
Draw the following network using The Activity-On-Arrow method considering the
following data:
Activity
A
B
C
D
E
F
G
H
I
J
K
Depends on
--B
A
A,B
B
F
G
E
C,E
J,H
Question 2
Draw the following network using AOA with the following data and Calculate the
Project duration:
Activity
A
B
C
D
E
F
G
H
I
J
Page 6 of 11
Depends on
--A
B
B
A, B
A
D, G
G
H, I
Dr. Yasser Elfahham & PM staff
Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Question 3
Using Arrow - Diagramming Method (ADM), draw the activity network of the
project shown in table and calculate the following:
1. The project early finish.
2. Show the longest path(S) on the network
3. CPM days of activities
4. Draw Bar chart based on late times
5. Total Float and Free float for non-critical activities
Activity ID
A
B
C
E
F
G
H
I
K
Page 7 of 11
Depends on
----A
A, B
E,G
B
G
C
I,H
duration(weeks)
6
9
5
2
4
6
8
10
3
Dr. Yasser Elfahham & PM staff
Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Assignment # 6
Project Resources
Question 1
The following table provides the activities of a construction project. Each activity
requires a specific amount of cement. Draw the Cement consumptions as Histogram
along the project duration.
Activity ID
Duration
(day)
Pred.
Cement per activity
(ton)
A
4
---
8
B
3
---
9
C
6
A
30
D
8
B
0
E
6
C, D
36
F
2
B
8
G
5
E
30
H
5
C, D, F
10
Question 2
Draw the labor histogram and cumulative curve based on early times.
Activity
A
B
C
D
E
F
G
H
I
J
K
Page 8 of 11
Depends
on
---A
A,B
B
C,E
G
F,E
F,G
J,H
Quantity
Units
1,000
500
700
1,500
2,200
900
1,750
2,000
5,000
950
777
Production Rate
(Units/day)
200
150
300
500
220
300
750
250
800
1,000
140
Labor per
day
3
7
5
2
8
1
3
4
2
6
9
Dr. Yasser Elfahham & PM staff
Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Assignment # 7
Linear Scheduling
Line of Balance (LOB)
Question # 1
a) Differentiate between CPM and LOB methods
b) A compound consists of 3 villas. The activities needed to construct one villa are
listed below:
Activity
A
B
C
Duration
(day)
10
5
12
Depends
on
--A
B
Relationship and time
buffer
--FS = 5
SS=10
Number of
crews
1
1
1
Calculate the project duration using:
a) Line Of Balance
b) Critical Path Method (CPM), comment on your results
c) Draw the Bar chart
Question # 2
A Road way is to be constructed to connect two cities. The road length = 50 km. the
activities needed to perform 1 km of the road are given below:
Activity code
duration(day)
A
B
C
K
M
10
20
6
18
5
Depends
on
--A
B
C
K
Relationship
and lag
--FS = 8
SS=20
FF=10
FS=5
Number of
crews
1
1
1
1
1
It is required to:
1. Determine the project duration using Line Of Balance (LOB)
2. Find the early start of activity K at a distance of 10 km from the road start
Page 9 of 11
Dr. Yasser Elfahham & PM staff
Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Assignment # 8
Cash Flow
Question # 1
Define the following:
1. Direct costs
2. Indirect costs
3. Cash out
4. Cash in
5. Retention Bond
6. Performance Bond
Question # 1
The following table represents the activities required for a small project and the total
cost for each activity
Activity
A
B
C
D
E
Duration(week) Early start
2
0
3
2
6
5
2
2
3
4
Total cost LE *(10)3
12
36
24
18
15
Total float
0
0
0
3
3
Requirement:
1. Cash - Out flow (S - curve) considering Early times
2. Cash - Out flow (S - curve) considering Late times
Page 10 of 11
Dr. Yasser Elfahham & PM staff
Faculty of engineering
Alexandria University
Specialized Scientific Programs
SSP
Project Management
Question # 2
The table shows the start and finish time for each activity in a construction project. The
activities costs and prices are provided. Given that, the indirect cost represents 20%.
Profit is 15%
Contract
item
Foundation
Skeleton
Brickwork
finishing
Start time
(days)
0
30
60
90
Finish time
(days)
30
90
120
210
Direct
Cost (EGP)
25,000
60,000
15,000
30,000
 Data: assume that a month has 30 days; calculations are prepared at the beginning
of each month. Retention is 10%
 It is required to:
1. Draw the cash flow (cash out & cash in)
2. Amount of money required after 3 rd month
Question # 3
The activities for constructing an industrial workshop are listed in the next table
Act.
ID
A
B
C
D
E
F
Act. name
Excavation
Foundation
Steel frame
Floor slab
Gladding
Install plant
Duration
(month)
Pred.
2
3
1
1.5
2
1
-A
B
B
C
D,E
Total Cost
(1000LE)
50
180
450
300
160
620
Price
(1000LE)
70
200
520
320
170
650
Invoices are prepared monthly and paid one month later, Retention is 5%, taxes
discount are 5%. Draw the cash flow and find the maximum overdraft.
Page 11 of 11
Dr. Yasser Elfahham & PM staff