PROBLEM :
From the given data below prepare : Network Diagram Time Scaled Activity
,
Diagram Projected
Cash Flow S-Curve Manpower Levelling , and Accelerated
,
,
,
Program with maximum additional accelerated cost of Php 7 000 00.
.
,
cost/php)
Duration (Weeks)
Activity
Manpower
Normal
crash
Normal
crash
2(A)
G
2
2 000
10 , 000
10
3(B)
8
3
4 , 000
7 , 000
5
4(c)
7
4
2 , 000
3, 200
5
4(D)
3 5(E)
12
8
8 , 000
10 , 000
10
7
3
2 , 000
5 , 200
5
5
3
10 , 000
14 , 000
18
5
4
6 , 000
8 , 000
10
1
7
6 , 000
9 , 600
15
10
6
4 000
8 , 000
5
1
-
1
-
2
-
3
-
-
4
6(F)
-
6(6)
5 7(H)
6 - (1)
5
-
-
,
,
NETWORK DIAGRAM
STEP 1 :
ES
A
EF
LS
t
LF
where :
GC13
FORWARD PASS
13 7
o
A =
activity
t
duration/time of activity
=
ES
2
>
4
>
6
D
I
6
y
↑
7613
start
early
=
y
6
A
40Fs
20
25
35
35
EF = early finish
L
latest start
=
LF-
O
B8
8
08
latest finish
-
3
-5
8
ES
LS
STEP 3
:
O
A
ET
t
LF
For
starting activity
For
proceeding act : (single path) ES
ES
STEP 4 :
G
A
EF
t
LF
EF
⑳
Take note
LS
STEP 5 :
=
O
:FFFEStIt at)
:
vo
LS
ES
:
=
LF
EF
=
Es +
=
EF of previous activity
Es
(highest EF of Prev acting e
.
(t)
BACWARD RESE
of final earliest finish -(highest EF)
=
·
-
Backward
7
26
24 I 35
13 7 20
activity and duration
List all
STEP 2 :
1
>
15 H
LF of
final activities/activity
t
preceding LF
preceding
LF
(double/more path) min. LS
preceding activity (single path)
:
LS
=
=
AJ MANAGBANAG
TIME SCALED ACTIVIT DIAGRAM
c 7
A-6
B
-
-
> 2
--
STEP 1 :
---
D-2
0
> 3
I
E
7
-
F 5
> 4
> 6
↑
10
-
-
left
to
of
:
right
Top to bottom
>7
-..
>
-
H
↳
1 0
-
-
75
Follow flow
↳
do
es
so Final
&
LF
PROJECTED CASH FLOW
Monthly
Cash Flow
4166 67
.
Monthly Cash Flow
Weighted
=
=
Normal Cost
(no of
.
duration
years/days)
Monthly Cash flow XIW
Total Cash How
S-CURVE
AJ MANAGBANAG
MANPOWER LEVELLING
STEP 1 : Start W) first month
MANPOWER
Identify each month the no of manpower
STEP 2 :
.
X
35/
for a specific range of activities included
-
I
"y"
/
/
=
. (Refer to
in that month
Time scaled Activity
23
,,
,
· "
/
20
15
-
/
//
/
//
Identify lowest constant manpower level
STEP 3 :
/
I
/
/
[Manpower X No of Weeks
(ROUND UPANS ! )
.
Total Duration
/
/
/
/
/
Diagram)
/
10/
/
/
//
/
/
/
/
/
/
I / //
/
/ E-I
! b is 2025 do is
-
-
/
L
/
/ /
-I
MONH
Ist 2nd 3rd 4th 5th
ACTIVITY
#
D
A
A
C
B
B
Pe H
Lowest constant manpower level
↑
=
15(5) + 35(5) +
-
22
project duration
ACCELERATED PROGRAM
POSSIBLE PATH
②
CRIMAL
B E
-
G I
ACTIVITY
A2
28
@
30
38
26
PAD
BUDGET
③
⑮
Al
26
B-E-H
+
+
20(5) + 5)
143
.
31
35
E
-
A
28
28
B-D-F-I
-
④
DURATION
-
+
first acceleration
NORMAL
A C F I
-
20(5) 35(5) 25(5)
23 Manpower
-
-
Duration
=
safest manpower
all throughout the
④
7
HE
G
i
6th
A3
STEP 1 : Identify crash cost per week of each activity
25
STEP 2 :
Count the Normal Duration on each path
25
25
STEP 3 :
Make a table below for the activity
24
21
21
zur
Bu
IZN
-
and its crash cost/week
↳ Formula
CRASH COST / week
=
crash cost/week
A
2000
B
600
V B D F-1
L
D
600X5
=
3000
400
VA-G F-1 40/
=
1200
500
V B-D F-1
E
so
F
2008
Identify possible paths Suce Network Diagram)
-
26
w
:
④
-
.
.
A
crash cost-normal cost
normal t-crash t
Check duration
STEP 4 :
normalt-crasht
:
(weeks)
-
500x4 = 2000
*
check critical path
/accelerate critical path)
From critical path choose
,
the least crash
cost/week
↳
can no longer
*
optimize again
,
G
2000
H
avo
=
In
can
no
longer accelerate"
wI the
activity that has the least
amount of crash cost/week , under Al :
once only
go
With the identified
next
STOP !
subtractn weeks on duration where the
activity is included
TE CAN
*
Take note of remaining addt'l accelerated
cost
Therefore
,
* 6 , 200 is used from adde'l accelerated cost : #7, 000
From 35 weeks to 26 weeks duration
↳ If
there
is value left , add another
acceleration
↳ CRASH DURADON
AJ MANAGBANAG
1432Ots
0AG
8 P2O
156
38E15'5
Has
1
OBO
-
13 7 20
A 6
8
-
I
B
-
-
7
> 2
8
it isa-
------
↓
D-12
F 5
6
-
/E
-
7
>5
6
-
5
---
I
=
-
> 4 >
> 3
-
10
-
-*
---
H 1
> +
..
+
↳
44 , 000
is
is
36
as
!
is
GigogaaokoGoG22 sess I
Go,
.
9
. 47
WEIGHTED
q0
70
.
-
-
6050
40
100
.
..
-
-
si
.
.
.
1
45 46
60 74 89 67
33 33
-
·
is
30-
20
10
-
-
is
!
: -!
as
36
is
-
M
I
= /L / /
/
/
/
/ // / /L
/
/
/
/
/
I
·
-I
/
/ k/
/
/ L/
/
1
18
se
/
⑳
/
22 . 143
23 manpower
-
/
/
/
/
/
↳
s
I
/
is
!
as
L
/
-I
L
/
/
/
6
es
Normal
DURATION
AT
A2
A3
ACFI
28
28
2843
25
BEI
26
26
BDFX
35
BEGI
30
POSSIBLE PATH
ACTIVITY
~
W
C
D
W
W
521
3) C-26
From 35 weeks to 26 weeks duration
26 CP
E
26
2000
600
BDF]
(GNX(8 3))
=
3000
400
A CFF
[YNX (7 4)]
=
1200
BDF1
(500 X (12 8)]
=
2000
so
~
r
G
2000
2000
It
-
* 6 , 200 is used from adde'l accelerated cost : #7, 000
21
30-525
500
E
F
4
-
Therefore
,
CRASH COST PER WEEK
A
B
-
-
900
ru
1000
-
-
-
↳ CRASH DURADON