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Unlike traditional approaches to project management, the critical path method (CPM), also known as critical path analysis, makes use of algorithms to schedule tasks. Ensuring the timely completion of a project is an ever-present challenge, and the critical path method optimizes the process by turning it into a science. CPM sets its sights on determining the series of interconnected tasks that dictate the project’s minimum completion time, which is referred to as the critical path. This blog post will serve as a comprehensive guide to understanding and implementing the critical path method as well as juxtapose it with other scheduling and budgeting tools.

What Is Critical Path Method?

The Critical Path Method was a project-modeling technique introduced in the 1950s. Creators James Kelly Jr. of Remington Rand and Morgan Walker of DuPont developed it around the same time the program evaluation and review technique (PERT) rolled out of production. With CPM, they aimed to define a project by its bare necessities. 

Although the CPM created in the late 1950s differs from the model in use today, it builds on the same principles. The critical path method was devised to calculate the longest path to project completion, which was determined through task categorization. This calculation was derived by reviewing the duration of each task, dependencies, and critical achievements. This trail of tasks determines the shortest time required for project completion. The deadline is reliant upon the tasks on the critical path. If any of these tasks took more time than estimated, the corresponding deadline would automatically be pushed back. 

What Is Critical Path In Project Management? 

Within project management, a critical path is referred to as an uninterrupted sequence of tasks interdependent on each other that dictates and defines the minimum possible completion date for a project. The project timeline hinges on the links created by this path, if one link is weakened or not delivered on time, it will affect the entire schedule. 

Importance And Benefits Of Using Critical Path Analysis In Project Management

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The critical path method offers a structured approach to project scheduling and analysis. Following are some of the ways in which project managers and teams can benefit from the said analysis: 

CPM schedule enhances project visibility by analyzing task dependencies and highlighting critical tasks. Teams can get a clearer overview and flag potential bottlenecks before becoming imminent threats. A proactive approach ensures early intervention, course correction, and an avoidance of overall delay.

Effective resource allocation is easier if project managers can make informed decisions. By outlining and highlighting the critical tasks from the non-critical, CPM demands a priority-based allocation of resources. These resources can consist of manpower, equipment, and raw materials. To ensure timely completion, large resources such as these must be identified and allocated before the project officially begins. Non-critical tasks, on the other hand, have the leeway of having some buffer time when it comes to allocating resources without jeopardizing the overall project timeline.

Identifying the path to follow enables project managers to proactively devise risk identification and mitigation strategies. With the critical tasks already established, teams can focus on potential obstacles that could target these activities, and consequently develop contingency plans to address them. Knowing and planning ahead minimizes the impact of unforeseen circumstances and safeguards the timely completion of your project.

By analyzing task dependencies and duration, CPM trades guesswork for more data-driven research. Using critical path analysis, project managers can make effective decisions about sequencing tasks, allocating resources, and potentially adjusting the project schedule depending on changing needs. Teams can then foster an environment of better –decision-making and optimized project execution.

Identifying the critical path lets project managers focus more on factors such as cost control. Knowing what to prioritize and the sequence in which tasks must be completed adds structure and removes chances of indecision and doubt. This finality has the added benefit of significant cost-savings for the project.

What Is CPM Formula?

what is critical path method formula

As mentioned above, the critical path method basically offers managers an algorithm to streamline the scheduling process. CPM uses a variety of specific calculations to identify the critical path. To explain the formula in simple terms, we can break the core concept down into two main steps, namely the forward and backward pass. 

Forward Pass 

The forward step involves calculating the earliest possible start time, i.e., the ES, and the earliest possible finish time, the EF. Consider the possible dependencies between all tasks. In case of the forward pass, managers must assume all predecessor tasks (tasks that need to be completed before another can begin) begin at their ES.

Assuming all predecessor tasks have been completed at their EF, the forward pass then calculates the earliest time the upcoming tasks can potentially begin. This calculation is done with consideration of all task dependencies. 

Backward Pass 

The backward pass, inversely, calculates the latest a task can start, the LS, and the latest it can finish, the LF, given that the project completion date remains unchanged. In order to calculate these two quantities, the backward pass works backwards from the project deadline whilst keeping all dependencies under consideration. It works under a simple formula of subtracting the duration of a task from the project due date. 

Managers can mediate on a critical path by comparing the earliest and latest allowable start and finish times calculated in both passes. Tasks with no affordable slack (the difference between the latest allowable start time and the earliest possible start time) constitute the critical path. The tasks with a float time (delays that can be made without affecting the total project time) will constitute the non-critical path and are called sub-critical.

How To Use Critical Path Method?

Here are the actionable steps one might take to use the critical path method:

  • Define project scope – Outline what you aim to achieve with your project and the goals that need to be met
  • Identify tasks – Make a comprehensive list of all manageable tasks. Also list their dependencies and determine which tasks must be completed before others can begin
  • Task Durations – By considering availability of resources and complexity of the task at hand, estimate how long it will take to complete an activity
  • A Network diagram – Visually represent your tasks and their duration in a network diagram. Depict tasks as nodes and show dependencies in the shapes of arrows in between them
  • Determine the Critical Path – Using forward and backward pass formulas, determine the tasks with zero slack. These nodes will identify your critical path

How To Find A Project’s Critical Path?

How To Find A Project’s Critical Path

Finding a project’s critical path can be done in two ways; manual calculation or using a project management software. Each method offers its own steps for calculating a critical path.

Manual calculations fare better for small-scale projects, ones that do not have a long list of task dependencies. This method begins with first calculating the forward and backward pass for each task. This is followed by identifying the slack allowed in total. Slack and buffer essentially mean the same thing and can be used interchangeably to represent the time a task can be delayed without an overall impact on the deadline. Tasks that have zero slack are determined to be the critical path. 

Project management software with built-in CPM schedule functionality automate the forward and backward pass calculations, streamlining the critical analysis. Users simply have to input their project tasks, their dependencies, and an estimated duration into the software. The CPM software will then visually represent this information.

Difference Between CPM And PERT

cpm vs pert

Though similar, CPM and PERT differ in their core focuses, time estimates, and project suitability. Where CPM is more concerned with calculating the minimum duration of a project and the specific sequence of tasks responsible for this timeline, PERT factors the inherent variability of project task durations and focuses on providing three time estimates for each task. While CPM takes a deterministic view, regarding what has been discussed as set in stone, PERT favors a probabilistic view. This is to say that PERT takes into account the probability of there being three different timelines 

CPM is suitable, therefore, for projects that follow a path schedule and have well-defined tasks with predictable durations. PERT is ideal for projects that require flexibility and deal with a lot of variables.

Difference Between CPM And Gantt

CPM and Gantt charts must not be thought of as interchangeable. They are complementary tools rather than replacements for each other. Although Gantt Charts can display a critical path, it does not have the capacity to calculate it the way CPM does. Where the critical path method offers the analysis, Gantt Charts provide visual representation and progress tracking of said analysis.

A Gantt chart is a popular visual tool for scheduling tasks and tracking project progress. While a Gantt chart can display the critical path, it doesn't explicitly calculate it like CPM does. CPM provides a more in-depth analysis of task dependencies and allows for what-if scenario modeling to assess the impact of potential delays. 

Critical Path Example

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Consider having to launch a social media campaign for an upcoming product release. Here is an example of how you might use CPM:

  • List the Tasks – Tasks for a campaign may include video development and marketing materials, i.e., images, billboards, or social media posts. Further tasks include shooting footage, securing partnerships and deals, launching paid advertisements, scheduling social media posts, and monitoring campaign performance 
  • Identify the Dependencies – Materials need to be procured before shooting can begin. There needs to be an official shoot before social media posts can be scheduled. Partnerships need to be secured before launching a paid campaign. Lastly, monitoring responses to the campaign may also influence posts on social media 

Using the Critical Path Method will help you organize all relevant information in relation to each other and map out the most efficient way to tackle tasks. Knowing which tasks are critical and which have room for delays streamlines decision-making and reduces confusion in prioritizing where to start. Effectively using CPA can boost your project management capabilities and contribute in your journey toward project success.