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The writer of the paper “Project Crashing and Cost of Crashing” states that the project crashing will reduce the critical time and also reduce the appropriations available at each stage of the project, therefore, any cases of overspending are noticed and rectified…
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Extract of sample "Project Crashing and Cost of Crashing"
The table of activities
Slack is =LS-ES or LF-EF
ID
Inspection Activities
Time (hrs)
ES
EF
LS
LF
Slack
Preceding activity
Personnel
1
Inspection review
4
0
4
0
4
0
-
Team leader
2
Choosing inspection team
4
0
4
0
4
0
-
Team members
3
Distribution of inspection resources
4
4
8
7
11
3
2
Team leader
4
Training of inspectors
4
4
8
4
8
0
2
Team members
5
Compliance based review
8
4
12
4
12
0
1
Team members
6
Verify SIC code
3
8
11
8
11
0
4
Team members
7
Verify emergence procedures
5
11
16
11
16
0
3,6
Team members
8
Verify processes
1
11
16
11
16
0
7
2 Engineers
9
Lead operator input
3
12
15
12
15
0
5
2 Engineers
10
Boilers
6
15
21
15
21
0
9
1Engineers& 2 Assist engineers
11
Mechanical integrity
5
16
21
16
21
0
8
3 Engineers
12
Pipe inspection
5
21
26
21
26
0
10
2 Engineers
13
Electrical installation inspection
5
21
26
21
26
0
11
1 Engineers & 3 Assist engineers
14
Storage tanks inspections
3
26
29
26
29
0
13
3 Engineers &3 Assist engineers
15
Capacity inspection
8
26
34
26
34
0
12
2Engineers
16
Documentation of failures
2
29
31
34
36
4
14
17
Documentation of areas of change
2
34
36
34
36
0
15
18
Final report
3
36
39
36
39
0
16,17
The critical path is A-E-F-J-L-O-Q-R
The critical path = 4+8+3+6+5+8+2+3 = 39hrs
Network before crashing
Note that the network cells represents
Project crashing and cost of crashing
The project crashing will reduce the critical time and also reduce the appropriations available at each stage of the project therefore any cases of overspending are noticed and rectified. It also facilitates the control of funds and their usage. The appropriation is made for specific aspects of the project and to be used for that. This reduces the possibility of the project going beyond the agreed cost therefore the risk of financial damages as loss is lowered. The amount used has to concur with the amount shown on the network diagram for the project in order to facilitate payments. First crashing will begin with critical activities with maximum cost and if critical path changes then the second critical path will be crashed
The current paths are
Critical path (A) = 1-5-6-10-12-15-17-18
The critical path = 4+8+3+6+5+8+2+3 = 39hrs
Non-critical paths
Path B = 2-3-7-8-11-13-14-16-18
Path B duration 4+4+5+1+ 5+5+3+2+3= 32 hours
Path C = 2-4-6-7-8-11-13-14-16-18
Path C duration = 4+4+3+5+1+5+5+3+2+3 = 35hours
New path lengths and identify the critical path
Activity
Normal time(NT)
Crash time(CT)
A
4
3
B
4
4
C
4
4
D
4
4
E
8
8
F
3
3
G
5
5
H
1
1
I
3
2
J
6
4
K
5
4
L
5
5
M
5
3
N
3
3
O
8
6
After crashing the activities duration paths will be
Path (A) = 1-5-9-10-12-15-17-18
Path (A) = 4+8+2+4+5+6+2+3 = 34hrs
Non-critical paths
Path B = 2-3-7-8-11-13-14-16-18
Path B duration 4+4+5+1+ 4+3+3+2+3= 29 hours
Path C = 2-4-6-7-8-11-13-14-16-18
Path C duration = 4+4+3+5+1+4+3+3+2+3 = 32hours
The critical path remains but it reduces to 34hours.
Cost of crashing
Inspection Cost
Activity
Personnel
$ Cost / hour
Normal time(NT)
Crash cost/hr
Crash time(CT)
Normal cost(NC)
Crashed cost (CC)
Net saving= NC-CC
1A
1
1500
4
1500
3
$ 6,000
$ 6,000
$0
2B
3
500
4
500
4
$ 1,350
$ 1,350
$ 0
3C
1
1500
4
1500
4
$ 6,000
$ 6000
$ 0
4D
3
500
4
500
4
$ 1,350
$ 1,350
$ 0
5E
3
500
8
500
8
$ 12,000
$ 12,000
$ 0
6F
3
500
3
500
3
$ 4,500
$ 4,500
$ 0
7G
3
500
5
600
5
$ 7,500
$ 7,500
$0
8H
2
1,000
1
1,000
1
$ 2,000
$ 2,000
$0
9I
2
1,000
3
1,500
2
$ 6,000
$ 9,000
$ 3,000
10J
1
1,000
6
1,500
4
$ 6,000
$ 6,000
$ 0
12K
3
1,000
5
1,500
4
$ 15,000
$ 18,000
$ 3,000
13L
2
1,000
5
1,000
5
$ 10,000
$ 10,000
$0
14M
1
1,000
5
1,500
3
$ 5,000
$ 4,500
-$ 500
15N
3
1,000
3
1,000
3
$ 9,000
$ 9,000
$0
16
2
1,000
8
1,500
6
$ 16,000
$ 18,000
$ 2,000
Total
$ 107,700
$ 115,200
$ 7,500
Activity
No. Of Assistant Engineers
$ Cost / hour
Normal time
Crash cost/hr
Crash time
Normal cost
Crashed cost
Extra cost
9
2
600
6
800
4
$ 7,200
$ 6,400
-$ 800
14
3
600
5
800
3
$ 9,000
$ 7,200
-$ 1,800
15
3
600
3
600
3
$ 4,800
$ 4,800
$ 0
Total
$ 21,000
$ 18,400
-$ 2,600
Crashed cost (CC) = Personnel x Crash cost/hr x Crash time (CT)
Crashed cost (CC) for activity 12 = 3 x 1500 x 4 = 18000
Crashed cost (CC) for 16 activity = 2 x 1500 x 6 = 18000
Total cost of crashing = 18,400+115,200= 133,600
Total normal cost = 21000+107,700= 128,700
Extra cost due to project crashing = Total Crashed cost (CC) - total Normal cost (NC)
Extra cost due to project crashing = 133,600– 128,700= 4,900
Activities to be crashed are those activities with professional engineers that is main reason of excluding activity A-G
Shorten the length of a project merely reflects an attempt to reduce the indirect costs associated with running the project, such as facilities and equipment costs, supervision, and labor and personnel costs. The cost of crashing the project is $4,900. However, crashing analysis requires estimates of regular and crash times and costs for each activity, path lengths, and identification of critical activities. The cost of $4,900 is also as result of the use of additional funds to support additional efficient equipment, and the relaxing of some work specifications. The shortened activities are mostly on critical path because shortening noncritical activities would not have an impact on total project duration. From an economic stand point, activities should be crashed according to crashing costs: crash those with the lowest crash cost first.
The Inflation Rate
All data recorded at current value refers to the value in monetary terms, whereas the recording of data in real term reflects the value in terms of goods or services. In other words, the real value always takes into account the impact of inflation. On the contrary, nominal or current value does not take into account the impact of inflation. These two values are used because there is a need to know the difference in the money value of an item at some other point in time. It is therefore, real price is calculated from current price. The real price may be calculated by identifying a current price, income level or output and then multiplying it by the result of the ratio: year desired/original year. The amount calculated in this way is regarded as the real amount. The current inflation rate in the market is 2.2% and it’s the rate that is used in all cash flow analysis. Inflation rate sets the actual number of dollars you will be paid with no offset for future inflation.
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