## The PERT Method – Program Evaluation and Review Technique Example & Definition

In this article, we will discuss the pert definition and demonstrate how to make a pert chart by using a pert example.The **PERT Method** (or Program Evaluation and Review Technique) is one of the most common scheduling techniques for network analysis which is used to coordinate complex tasks. PERT Method helps to analyze the work schedule by focusing on each task and calculate the minimum time required to complete the project.

In this respect, it is similar to the Critical Path Method (CPM). Both of them uses a common approach for preparing the network and determining its critical path. But there are some differences between them.

### What is PERT ? (PERT Definition)

*PERT Method* was first developed by the US Navy SPO (Special Projects Office) in 1967 during the Polaris missile development program then it was applied to the other industries. Both CPM and PERT are complementary tools and they are developed at roughly the same time. Unlike other methods, PERT is an event-oriented technique which uses three-time estimates (optimistic, expected, and pessimistic) for each task. With this aspect, it employs uncertainty while calculating the task durations. These characteristics make the PERT Method useful for large-scale, complex and non-routine projects.

The WBS (Work Breakdown Structure) concept which divides the scope into manageable sections was developed in conjunction with the PERT Method.

### Key Differences Between the PERT Method and the CPM (Critical Path Method)

Below are some key differences between the PERT Method and the Critical Path Method

– In CPM Method activity durations are well defined but in * PERT Method* , time estimations are uncertain.

– CPM is a method of control of time and costs, however, PERT is a technique of planning and control of time.

– There are three estimates in PERT such as optimistic, pessimistic and most likely. In CPM Method, there is only one estimate.

– In PERT diagram, only FS relationship type is applicable. In CPM diagram 4 relationship types (FS,SS,SF,FF) can be applicable.

– PERT is event-oriented however, CPM is start and completion oriented.

– PERT is more applicable to research and development projects rather than CPM.

### Basics of the PERT Method

The PERT method employs simple statistic calculations. It uses three-time estimations.

- Optimistic Estimate: The shortest time required to complete the task.
- Pessimistic Estimate: The longest time required to complete the task.
- Most Likely Estimate: The most possible time (probable duration) required to complete the task.

Expected time is calculated by the help of the formula below

Expected time = ( Optimistic + 4 x Most likely + Pessimistic) / 6

### The PERT Method Implementation Steps

1. List the activities and milestones

The first step is to determine the tasks required to complete the project.

2. Determine the sequence of activities

The second step is to determine the order of the activities. Which activity is predecessor which one is the successor. It is easy to determine the sequence of some activities however the sequence of some tasks may require deep analysis.

3. Build a network diagram

The third step is to create the network diagram by the help of a software or by hand and place the activities on the diagram.

4. Estimate the activity durations

The PERT Method uses three duration estimates for activities which are;

- Optimistic Estimate
- Pessimistic Estimate
- Most Likely Estimate

By the help of three estimates, expected duration is calculated.

5. Determine the critical path

The critical path is the longest path of the network diagram. Forward and backward pass calculations is used to determine the critical path.

## The PERT Method Example

Let’ s assume that you are a project manager of a power plant project and you listed;

– All the Activities

– Predecessors

– Optimistic, Pessimistic and Most Likely Activity Durations

By using “The Pert Formula = (To + 4Tm + Tp)/6”, you calculated the expected duration for each activity.

All the inputs are listed in the table below.

The associated network is below.

After building a network diagram and estimating the activity durations, you will determine the critical path by making forward and backward pass calculations.

Forward Pass Calculations specify the minimum dates at which each activity can be performed and, ultimately, the minimum duration of a project.

Backward Pass Calculations determine the latest dates by which each activity can be performed without increasing the projects minimum duration.

After completing the backward pass calculation, you can easily determine the critical path. In project management, “float” or “slack” is the amount of time that a task can be delayed without affecting the deadlines of other subsequent tasks, or the project’s final delivery date. Total float/slack is 0 on the critical path.

Total Float: LS – ES = 18-15 = 3

Total Float: LF – EF = 30-27 = 3

The total float can be calculated by subtracting the Early Start date of an activity from its Late Start date or Early Finish date from its Late Finish date.

When we analyze the network diagram we will see that there are some paths and every path have duration.

The critical path is the longest path in the network diagram and the total float of the critical path is zero.

### Summary

In real life, projects are not executed as it was planned all the time. Risks, unexpected events, uncertainty, and subjective estimates are significant reasons for deviations. PERT is helpful for estimating the project completion time in case of uncertainty. However, it may be difficult to use without software.

In this example, we talked about the pert definition and calculated the expected duration for each activity. By making forward, backward calculations, we determined the critical path. Accuracy of expected durations which affect the critical path depends on the optimistic, pessimistic and most likely duration estimates. By the help of PERT software, it is easy to make these calculations efficiently for many combinations.

External References

Choosing your networking technique

See Also

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Comment:is that expected project length and expected time are meant to be same?

Yes they are

Nice

Excellent description.

I have a problem in that suppose, we have only the optimistic and the pessimistic times. The most likely times are not given. In such case can I take the average of the two as the expected time.

2ndly suppose it is given that the time of an activity follows a normal distribution with a mean m and sigma of s; how do we proceed.

Thanks and regards

virendra