(Time Estimate and Float)
1. Information on the activities required for a project is as follows :
| Activity : |
1 – 2 |
1 – 3 |
1 – 4 |
2 – 5 |
3 – 5 |
3 – 6 |
3 – 7 |
4 – 6 |
5 – 7 |
6 – 8 |
7 – 8 |
| Duration (days) : |
2 |
7 |
8 |
3 |
6 |
10 |
4 |
6 |
2 |
5 |
6 |
2. A small assembly plant assembles PC’s through 9 interlinked activities. The time duration for which is given below :
| Activity : |
1 – 2 |
1 – 3 |
1 – 4 |
2 – 5 |
3 – 6 |
3 – 7 |
4 – 6 |
5 – 8 |
6 – 9 |
7 – 8 |
8 – 9 |
| Duration (hrs.) : |
2 |
2 |
1 |
4 |
8 |
5 |
3 |
1 |
5 |
4 |
3 |
3. A small assembly plant assembles PCs through 9 interlinked activities, the time duration for which is given below :
| Activity |
1 – 2 |
1 – 3 |
1 – 4 |
2 – 5 |
3 – 6 |
3 – 7 |
4 – 6 |
5 – 8 |
6 – 9 |
7 – 8 |
8 – 9 |
| Duration (hrs) : |
2 |
2 |
1 |
4 |
8 |
5 |
3 |
1 |
5 |
4 |
3 |
a) Draw a network diagram for it and calculate and tabulate for each activity: ES, EF, LS and LF times.
b) Find the critical and sub critical paths. Calculate and tabulate all Float.
(Oct. 03)
4. Following are the details of estimated times of activities for a certain project.
| Activity |
A |
B |
C |
D |
E |
F |
| Immediate Predecessor /Activity |
– |
A |
A |
B, C |
– |
E |
| Estimated Time (Weeks) |
2 |
3 |
4 |
6 |
2 |
8 |
(a) Find the critical path and expected time of the project.
(b) Calculate the earliest start time, earliest finish time and slack for each activity.
(April 2004)
5.
| Activity : |
1 – 2 |
1 – 3 |
1 – 4 |
2 – 5 |
3 – 5 |
3 – 6 |
3 – 7 |
4 – 6 |
5 – 7 |
6 – 8 |
7 – 8 |
| Duration : |
2 |
7 |
8 |
3 |
6 |
10 |
4 |
6 |
2 |
5 |
6 |
From the following table determine and calculate all the floats, ES, EF, LS, LF
(Oct. 2005)
6. Activities involved in a small project are given below along with relevant information.
|
Activity : |
1 – 2 |
1 – 3 |
2 – 3 |
2 – 4 |
3 – 4 |
4 – 5 |
|
Duration : |
20 |
25 |
10 |
12 |
6 |
10 |
(a) Construct the network and find the critical path
(b) Find and tabulate ES,EF,LF,LS, TF, Interfering float (April 2009)
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