Practice Problems -Network Diagram

 

Practice Problems

1. Draw a network diagram for the following activities:

   Activity	Time (days)
   1-2	3
   1-3	2
   2-4	4
   3-4	5
   4-5	6

2. Construct a network diagram and determine the critical path for the following activities:

   Activity	Time (days)
   1-2	2
   1-3	3
   2-4	5
   3-5	6
   4-6	2
   5-6	3

3. Develop a network diagram and find the earliest and latest start and finish times for each activity:

   Activity	Time (days)
   1-2	4
   1-3	3
   2-5	7
   3-4	6
   4-5	2
   5-6	8

4. Draw the network diagram and calculate the total project duration and slack time for each activity:

   Activity	Time (days)
   1-2	3
   1-3	2
   2-4	6
   3-5	5
   4-6	4
   5-6	7

5. Construct a network diagram for the following project and determine the float for each activity:

   Activity	Time (days)
   1-2	5
   1-3	6
   2-4	3
   3-5	7
   4-6	2
   5-6	4

6. Develop a network diagram and use the PERT method to estimate the expected project completion time. Use the formula:

   $$TE = \frac{(O + 4M + P)}{6}$$

   Given optimistic (O), most likely (M), and pessimistic (P) times:

   Activity	Optimistic (O)	Most Likely (M)	Pessimistic (P)
   1-2	2	3	5
   1-3	3	5	7
   2-4	4	6	8
   3-5	2	4	6
   4-6	5	7	9
   5-6	3	5	7

7. Draw a network diagram and compute the critical path for the project using the following activities:

   Activity	Time (days)
   1-2	2
   1-3	3
   2-4	4
   3-5	5
   4-6	6
   5-6	2

8. Prepare a network diagram and determine the earliest and latest start and finish times for each activity. Identify the critical path:

   Activity	Time (days)
   1-2	3
   1-3	5
   2-4	2
   3-5	4
   4-6	7
   5-6	3

9. Construct a network diagram and calculate the total project duration and slack for each activity:

   Activity	Time (days)
   1-2	4
   1-3	2
   2-4	5
   3-5	3
   4-6	6
   5-6	4

10. Develop a network diagram and identify the activities that have zero float (critical activities) in the following project:

Activity	Time (days)
1-2	2
1-3	3
2-4	4
3-5	6
4-6	5
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