Welcome to PM Calculators, a site dedicated to providing excellent online calculators for business management, including project management. In this post we will use our online critical path method (CPM) calculator and PERT-CPM diagram to develop critical path method examples.
In the following examples, we will perform critical path analysis and CPM network diagrams (Activity-on-node).
We have taken the critical path method problems from the major operations management books used in university teaching as
- Krajewski, L. J., Malhotra, M. K., & Ritzman, L. P. (2015). Operations Management: Processes and Supply Chains, Student Value Edition (11th Edition) (11th ed.). Pearson.
- Heizer, J., & Render, B. (2013). Operations Management (11th Edition) (11th ed.). Pearson.
Consider the following data for a project to install a new server at a local high school:
|Activity||Activity Time (days)||Immediate Predecessor(s)|
- Draw a network diagram.
- Calculate the critical path for this project.
- How much slack is in each of the activities G, H, and I?
a. The network diagram is:
Next we have the CPM diagram with the corresponding calculations:
b. The results of the project are:
The critical path is:
A → B → F → I → J
The total project time is: 27 days
c. The following table shows the results for each activity:
|Activity||Time||Early Start (ES)||Early Finish (EF)||Late Start (LS)||Late Finish (LF)||Slack (S)|
I took the solved problem from Krajewski’s book (1), Chapter 7, Exercise 1.