Project Exercise with 11 activities - Judy Kramer - St. John's HospitalCritical Path Example - CPM Method
Problem Data
It is required to calculate the critical path of the project, using the CPM method according to the following data:
- Number of Activities
- 11
- Time Unit
- Weeks
- Chart Type
- Activities-on-Nodes
- Description
- Project Exercise with 11 activities - Judy Kramer - St. John's HospitalJudy Kramer, the project manager for the St. John’s Hospital project, divided the project into two major modules. She assigned John Stewart the overall responsibility for the Organizing and Site Preparation module and Sarah Walker the responsibility for the Physical Facilities and Infrastructure module. The project team developed the precedence relationships, activity time estimates, and activity responsibilities shown in the table. Calculate the critical path.
- Table of Activities
Activity Immediate Predecessor(s) Time (Weeks) A 12 B 9 C A 10 D B 10 E B 24 F A 10 G C 35 H D 40 I A 15 J E,G,H 4 K F,I,J 6
Solution
The following are the calculations and detailed graphs to obtain the critical path according to the data provided:
Step 1: Evaluation of the relationships between activities
In order to be able to plot the Network diagram (Activity-on-node), it is necessary to know the precedence and descent relationships of each activity; that is why the following table shows the relationships of each activity so that we can create our graph. Two fictitious “Start” and “End” activities are included.
| Predecessor | Activity | Successor |
|---|---|---|
| Start → A | A | A → CA → FA → I |
| Start → B | B | B → DB → E |
| A → C | C | C → G |
| B → D | D | D → H |
| B → E | E | E → J |
| A → F | F | F → K |
| C → G | G | G → J |
| D → H | H | H → J |
| A → I | I | I → K |
| E → JG → JH → J | J | J → K |
| F → KI → KJ → K | K | K → End |
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