Critical path method example with solution pdf

In AON the nodes represent the schedule activities. Most of the scheduling programs use PDM technique to construct project network diagram.

Therefore, critical path analysis example problem uses activity-on-node method to represent the schedule network logic. To understand the critical path analysis calculation steps consider the following schedule network diagram. The first and the most crucial critical path analysis step is to identify the critical path.

To achieve this first identify all the paths in the network. The schedule network diagram shown above has four paths. The path with longest duration is the critical path.

The following indicates description of all the paths. Indicate the critical path on the network diagram with a bold line.

The network diagram with critical path will look as follows. The next step is to calculate early start and early finish of each activity. We need to start with activities on critical path. Step — 3. Here, it is essential to point out that critical path analysis has two conventions for calculation. This critical path method cpm example problem uses the convention that project starts on day one.

Another convention for cpm analysis states that the project starts on day zero. However, we will stick to the convention indicated in PMBOK, which states that, the project starts on day 1. Interrelationship Diagram. Tree Diagram. Matrix Diagram. Matrix Data Analysis Diagram. Arrow Diagram. Critical Path Method with Example. Tags New 7 QC Tools.

Related Posts Show more. Ketchman December 8, at PM. Nikunj Bhoraniya December 18, at AM. To finalize the critical path calculation we will perform the backward traversal to calculate the LF and LS, starting from the final node; placing the values at the bottom of the node as follows:. For the end node the LF value is equal to the project duration The LS is calculated by subtracting the LF minus the duration zero.

Since the final node is the only successor to activity H, its LF will be equal to the LS of the final node Since the end node is the only successor of activity G, its LF will be equal to the LS of the end node In this case, since both have a value of 9; that value will be the LF of activity B. In this case, the lowest value is that of activity C 3 ; therefore, that value will be the LF of activity A.

The activities with zero float marked in red are the critical activities. In this example, these activities follow a single path that will be our critical path: A — C — F — H. Total project time is 21 days.

Shirley Hopkins is developing a program in leadership training for middle-level managers. Shirley has listed a number of activities that must be completed before a training program of this nature can be conducted.

The activities, immediate predecessors, and times appear in the accompanying table. We will solve this example by showing the results and analysis of our critical path method calculator :. This table serves as a guide to build our network diagram. Two dummy activities were added to show the start and end.

The activities with 0 zero slack are the ones that make up the critical path. The critical path shows us the main activities that will determine the total time of the project; that is why Project Managers must be aware of the fulfillment of each one of them.

This does not mean that the other activities should be neglected; on the contrary, if they are delayed longer than their slack, the project will have problems to finish on time.

With the help of our entry, we are confident that you will gain more understanding about the CPM technique and how it can be used to calculate critical path. Finally, we invite you to follow us on our social networks and join our Facebook group where we can exchange more information with the participants. See also How to write your homework 5 times faster with Artificial Intelligence. Remember Me. Forgot Password.