Construct the precedence network diagram. Compute the expected completion time and the variance (or standard deviation) for each activity. Determine the critical path, the expected project completion time, and the project standard deviation.
The North Carolina Department of Transportation is undertaking a construction project to widen a large section of interstate highway near Charlotte, NC, which includes the construction of a number of new bridges, interchanges, and overpasses. The first step in the project is the appointment of a project manager and the development of a project team, some of which will be departmental employees and others will be private consultants and operatives. The team of a project of this size also requires a large support staff with varying technical skills. Once the team is selected and the staff is in place the first task is to select a primary contractor to manage and oversee the actual construction. The following table gives the standard activities required for the planning and
|
Activity |
Description |
Predecessor |
Time (weeks) |
||
|
Optimistic a |
Most Likely m |
Pessimistic b |
|||
|
a b c d e f g h i j k L M |
Select project manager Develop a team recruitment plan Implement a team recruitment plan Staff needs assessment Staff recruitment advertising Staff selection evaluation procedures Select project team members Develop contractor bid requirements Develop contractor bid evaluation procedure Staff applicant evaluation and selection Solicit contractor bids Contractor bid evaluation Select contractor and complete negotiations |
─ A B B D B C A G, H E, F, G I, J K L |
1 1 3 1 1 1 2 1 2 2 4 3 2 |
2 2 6 2 1 2 4 4 3 4 6 6 3 |
2 3 8 3 1 4 6 6 4 5 10 8 5 |
- Construct the precedence network diagram.
- Compute the expected completion time and the variance (or standard deviation) for each activity.
- Determine the critical path, the expected project completion time, and the project standard deviation.
- Determine the probability that the team and the contractor will be in place and the project started within: (i) 7 months (about 30 weeks), (ii) 9 months (about 39 weeks).
- Find the period (in weeks) by which you would be 90% sure of completing the process.
- Show breakdown of work
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