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MRE5003 Industrial Techniques
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MRE5003 Industrial Techniques
0 Download3 Pages / 652 Words
Course Code: MRE5003
University: Monash University
MyAssignmentHelp.com is not sponsored or endorsed by this college or university
Country: Australia
Question:
Answer:
1 Network and Critical Path
1. Completion of the table
Activity
People required at the same time
Duration (days)
EFT
LFT
Float
1-2
2
2
2
3
1
1-3
2
3
3
3
0
2-4
4
2
5
5
0
2-5
5
3
8
8
0
3-4
3
4
5
5
0
4-5
1
3
8
8
0
2. Network for the job
3. Critical path
The critical path for the job is 1-3-4-5 and the length is calculated as below:
1-3-4-5 = (0+3+5+8) days = 16 days
3A.2 Bar chart for allocating labour to jobs
3A.3 Refine the schedule
The schedule has been refined and the job will require 1.42 days more to complete as the actual duration was of 17 days. This means that the project duration has increased by 1.42 days.
Activity 3B
3B.1 Estimate time and standard deviation
Activity No
Optimistic time
Most likely time
Pessimistic time
Estimated time
Standard deviation
1-2
6
10
12
5
1
1-3
10
10
10
5
0
1-4
3
5
9
3
1
2-6
1
7
13
4
2
3-5
2
2
2
1
0
3-6
5
4
11
3
1
3-7
4
7
10
4
1
4-5
6
6
6
3
0
5-7
2
8
12
4
2
6-7
1
4
7
2
1
The critical path for the job is 1-2-6 and the duration is calculated as below:
1-2-6-7 = (5+4+2) weeks = 11 weeks
3B.3 Probability of the project
The completion time for the project (µ) = 11 weeks
Estimated duration for completion (X) = 28 weeks
Standard deviation for the critical path (σ) = 4
Hence, Probability of completing the project is:
Z = =
= 4.25
Hence, the probability of completing the project within 28 weeks is 42.5% and taking more than 28 weeks is 57.5%.
3B.4 Likelihood of completion the job in 17 weeks
The likelihood of completing the job in 17 weeks is calculated as below:
The completion time for the project (µ) = 11 weeks
Estimated duration for completion (X) = 17 weeks
Standard deviation for the critical path (σ) = 4
Hence, Probability of completing the project is:
Z = (X- µ)/σ = (17 – 11)/4
= 1.5
Hence, it can be said that there is only 15% likelihood that the project will be completed in 17 weeks.
3B.5 Completion time for the job
The completion time for the project (µ) = 11 weeks
Probability of completion (97%) = 97/100 = 0.97
Standard deviation for the critical path (σ) = 4
Hence, the completion time to be specified in the contract for 97% certainty that it will be done in that time is calculated as below:
Estimated completion time (X) = (Z* σ) + µ
= (0.97*4) + 11
= (3.88 + 11) = 14.88 weeks
The completion time to be specified in the contract is 14.88 weeks.
3B.6 Network for the project in Activity-on Arrow format
3C.1 Network for the job
3C.2 Critical path and total cost
The critical path for the job is 1-3-4-7-9 with a duration of 21 days.
The total cost for both methods of completing the work is shown as below:
Normal method – $ 30000.00
Crashing method – $ 45500.00
3C.3 Optimization
Project duration
Obtained by reducing:
Additional direct cost
Progressive total direct cost $
Progressive total cost $
Notes
Normal duration
21 weeks
6500
6500
Actual cost
20 weeks
Activity 4
2000
8500
10500
Addition of indirect cost
19 weeks
Activity 4
2000
10500
12500
Addition of indirect cost
18 weeks
Activity 4
2000
12500
14500
Addition of indirect cost
Bibliography
Kerzner, H., & Kerzner, H. R. (2017). Project management: a systems approach to planning, scheduling, and controlling. John Wiley & Sons.
Salas-Morera, L., Arauzo-Azofra, A., García-Hernández, L., Palomo-Romero, J. M., & Ayuso-Muñoz, J. L. (2018). New Approach to the Distribution of Project Completion Time in PERT Networks. Journal of Construction Engineering and Management, 144(10), 04018094.
Tesfaye, E., Girma, K., Berhan, E., & Beshah, B. (2015). A simulation of project completion probability using different probability distribution functions. In Afro-European Conference for Industrial Advancement (pp. 133-145). Springer, Cham.
Turner, J. R. (2014). Handbook of project-based management(Vol. 92). New York, NY: McGraw-hill.
Turner, R. (2016). Gower handbook of project management. Routledge.
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