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Determine the critical path, the critical activities and the project completion time.

The following details are available regarding a project:

Determine the critical path, the critical activities and the project completion time.

First let us construct the network diagram for the given project. We mark the time estimates along the arrows representing the activities. We obtain the following diagram:

We notice that C and E are non- critical activities.

Time for path I - Time for path II = 22- 19 = 3 weeks.

Therefore, together the non-
critical activities can be delayed upto a maximum of 3 weeks, without delaying
the completion of the whole project.

**Problem
2**

Find out the completion time and the critical activities for the following project:

Find out the completion time and the critical activities for the following project:

In all, we identify 4 paths, beginning with the start node of 1 and
terminating at the end node of 10. They are as follows:

The critical activities are C, F, J and L. The non-critical activities are A, B, D, E, G, H, I and K. The project completion time is 47 units of time.

We have the following network diagram for the project:

We assert that there are 4 paths, beginning with the start node of 1 and terminating at the end node of 9. They are as follows:

The
critical activities are B, E, I and K. The non-critical activities are A, C, D,
F, G, H and J. The project completion time is 22 weeks.

Tags : Operations Management - Network Problems

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