Which project management tool considers the longest time the completion of a sequence of activities might take?

Critical path analysis ("CPA") is a widely-used project management tool that uses network analysis to help project managers to handle complex and time-sensitive operations.

Introduction

Many larger businesses get involved in projects that are complex and involve significant investment and risk. As the complexity and risk increases it becomes even more necessary to identify the relationships between the activities involved and to work out the most efficient way of completing the project.

The essential technique for using CPA is to construct a model of the project that includes the following:

  • A list of all activities required to complete the project
  • The time (duration) that each activity will take to completion
  • The dependencies between the activities

Using this information, CPA calculates:

  • The longest path of planned activities to the end of the project
  • The earliest and latest that each activity can start and finish without making the project longer

This process determines which activities are "critical" (i.e., on the longest path) and which have "total float" (i.e. can be delayed without making the project longer).

In project management, a critical path is:

The sequence of project activities which add up to the longest overall duration

The critical path determines the shortest time possible to complete the project.

Any delay of an activity on the critical path directly impacts the planned project completion date (i.e. there is no float on the critical path).

Illustration of CPA

Here is worked example to illustrate how the critical path for a project is determined.

Conventions in drawing the network

The main components of a network analysis are summarised below:

Which project management tool considers the longest time the completion of a sequence of activities might take?

Example network diagram

Consider the following series of activities in a business planning to launch a new product:

Which project management tool considers the longest time the completion of a sequence of activities might take?

Laid out in the correct sequence of activities, the network diagram would look like this before we calculate the EST and LFT for each activity:

Which project management tool considers the longest time the completion of a sequence of activities might take?

The next step is to calculate the EST for each activity.

For example:

The EST for task B is 2 months – the time taken to conduct market research (task A)

To calculate the EST for task C, we add the 2 months for task A to the 4 months for designing the product concept (task B) = 6 months

The remaining ESTs can then be added to the network diagram:

Which project management tool considers the longest time the completion of a sequence of activities might take?

The LFTs show the latest time an activity must be completed by to avoid a delay to the project. LFTs are calculated by looking right to left on the network diagram. So:

Which project management tool considers the longest time the completion of a sequence of activities might take?

Evaluating CPA

The main advantages and disadvantages of a business using CPA can be summarised as follows:

Advantages of CPA

  • Most importantly – helps reduce the risk and costs of complex projects
  • Encourages careful assessment of the requirements of each activity in a project
  • Help spot which activities have some slack ("float") and could therefore transfer some resources = better allocation of resources
  • A decision-making tool and a planning tool – all in one!
  • Provides managers with a useful overview of a complex project
  • Links well with other aspects of business planning, including cash flow forecasting and budgeting

Disadvantages of CPA

  • Reliability of CPA largely based on accurate estimates and assumptions made
  • CPA does not guarantee the success of a project – that still needs to be managed properly
  • Resources may not actually be as flexible as management hope when they come to address the network float
  • Too many activities may the network diagram too complicated. Activities might themselves have to be broken down into mini-projects

A PERT chart, sometimes called a PERT diagram, is a project management tool used to schedule, organize and coordinate tasks within a project. It provides a graphical representation of a project's timeline that enables project managers to break down each individual task in the project for analysis.

The PERT chart template uses nodes -- drawn as rectangles or circles -- to represent events and milestones throughout the project. The nodes are connected by vectors -- drawn as lines -- which represent the various tasks that need to be completed.

PERT charts provide project managers with an estimation of the minimum amount of time needed to complete a project. Managers can also analyze the work breakdown and task connections, as well as assess the risk associated with the project. The breakdown structure makes it easy to organize a complex project with a variety of moving parts by visualizing the dependencies between each step of the process.

PERT stands for Program Evaluation Review Technique, a methodology developed by the U.S. Navy in the 1950s to manage the Polaris submarine missile program. A similar methodology, the critical path method (CPM) was developed for project management in the private sector at about the same time. 

Terminology

Here is a list of terms associated with PERT charts:

  • Nodes are visual representations of milestones or events within the project. They are drawn as either numbered boxes or numbered circles.
  • Arrows are visual representations of the tasks that occur throughout the project. The direction of the arrow indicates the sequence of the task. Diverging arrows show that various tasks can be completed at the same time.
  • Fast tracking is when tasks and activities are performed simultaneously.
  • A PERT event is the point at which one or more tasks are started or completed.
  • A predecessor event occurs immediately before some events. A successor event naturally occurs after events.
  • Slack is the amount of time a single task can be delayed without harming other tasks or the project as a whole.
  • The critical path is the longest -- or most time-consuming -- path from the start to the completion of an event or task.
  • Critical path activity refers to a task that does not experience slack.
  • Crashing critical path is when the completion time of a task is shortened.
  • Lag time refers to the earliest point at which a task can follow another.
  • Lead time is the amount of time it should take to complete a task without impacting the following activities.
  • Expected time is the best estimation of how long a task will take to complete, taking into consideration any problems or obstacles that might arise.
  • Optimistic time refers to the minimum amount of time it will take to complete a task.
  • Pessimistic time is the maximum amount of time it will take to finish a task.
  • Most likely time is the best guess of how long a task will take, assuming no problems arise.

How a PERT chart works

A PERT chart presents a graphic illustration of a project as a network diagram consisting of numbered nodes linked by labeled vectors. The direction of the arrows on the lines indicates the sequence of tasks.

When creating a PERT chart, project managers should follow the below steps:

  1. Define all activities involved in the project.
  2. Consider any dependencies between tasks.
  3. Draw nodes and arrows based on the information gathered in the first two steps.
  4. Identify the completion time for each task.

Once the PERT chart is drawn, project managers can use it to develop a realistic time frame for the project:

  • This can be done by finding the longest path, based on the estimations entered. This path should include the tasks that take the longest to complete.
  • By adding together the time it takes to complete each task, an estimation will be provided for how long the entire project will take.
  • Once this is done, the PERT chart can then be used to adjust the times if circumstances change or to ensure the project is finished by its designated deadline.

Which project management tool considers the longest time the completion of a sequence of activities might take?
A breakdown of a PERT chart

In the diagram, for example, the tasks between nodes 1, 2, 4, 8 and 10 must be completed in sequence. These are called dependent or serial tasks. The tasks between nodes 1 and 2 and nodes 1 and 3 are not dependent on the completion of one to start the other and can be undertaken simultaneously. These tasks are called parallel or concurrent tasks.

Tasks that must be completed in sequence but that don't require resources or completion time are considered to have event dependency. These are represented by dotted lines with arrows and are called dummy activities. For example, the dashed arrow linking nodes 6 and 9 indicates that the system files must be converted before the user test can take place but that the resources and time required to prepare for the user test -- writing the user manual and user training -- are on another path. Numbers on the opposite sides of the vectors indicate the time allotted for the task.

When to use a PERT chart

PERT charts should be used when a project manager needs to:

  • determine the project's critical path in order to guarantee all deadlines are met;
  • display the various interdependencies of tasks;
  • estimate the amount of time needed to complete the project; and
  • prepare for more complex and larger projects.

Project managers find best results when they use a PERT chart at the beginning of the project. Doing so helps ensure the project is accurately scoped and can help avoid any potential bottlenecks in the process.

Advantages of PERT charts

Project managers use PERT charts to gain these benefits:

  • The PERT technique provides the ability to evaluate the time and resources necessary to a project by tracking required assets at each stage of the process, as well as throughout the course of the project.
  • PERT charts are useful in what-if analyses, helping companies understand all possible workflows and choose the most efficient and beneficial path.
  • The analysis of the PERT chart includes data from various departments within an organization. Combining all of the information helps identify each responsible team within the company, while facilitating an environment where each department takes responsibility for its work.
  • The process of creating a PERT chart also improves communication and enables an organization to invest energy in projects that will enhance its strategic positioning.
  • PERT charts make unclear deadlines more predictable, clarify dependencies between tasks and establish a clear order for completing the tasks.

Disadvantages of PERT charts

Disadvantages of the PERT chart include the following:

  • A strict focus on deadlines may not enable managers to see the full financial positioning of the project.
  • PERT charts lack the flexibility to adapt to small changes that occur when confronted with a roadblock.
  • If any calculations are inaccurate in the creation of the chart, delays could occur, causing bottlenecks and negatively impacting the final delivery date.
  • PERT charts are subjective; their success depends on the experience of the project manager. Consequently, some charts may include unreliable data or unrealistic expectations for the cost and time frame of the project.
  • Creating a PERT chart is labor-intensive, requiring additional time and resources. Also, in order for the chart to remain valuable, it must be consistently reviewed and maintained.

PERT chart vs. Gantt chart

The PERT chart is sometimes preferred over the Gantt chart, another popular visual tool for project managers, because it clearly illustrates task dependencies. On the other hand, the PERT chart can be more difficult to interpret, especially on complex projects. Frequently, project managers use both techniques.

  • Both PERT and Gantt charts help simplify the project management process through a breakdown structure that divides the project into smaller tasks and identifies any constraints, thus enabling managers to increase efficiencies and view the project as a whole. Another similarity is the use of both charts to identify dependencies and improve time management.
  • While PERT charts are best used before a project begins to plan and estimate how long each task will take, Gantt charts are best used while a project is running. Throughout the project, managers use Gantt charts to schedule tasks by date and visualize the amount of completed work. In a Gantt chart, each task is represented by a long bar that connects the starting point of the task to its end date.

This was last updated in February 2021

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What is the longest sequence of activities in a project?

The critical path is the longest sequence of activities in a project plan which must be completed on time for the project to complete on due date.

Which is the best project management tool to use to determine the longest time the project will take?

Critical Path Method This is because this tool can monitor and assess the progress of the project in real-time. It is to ensure that all the ongoing projects performed by the team are going to finish in time. The Critical Path of the project is the longest sequence of activities performed on the network diagram.

What is the longest path of tasks to be completed?

A critical path is a sequence of interdependent activities or tasks that must be finished before the project can be finished. It is the longest path (i.e. path with the longest duration) from project start to finish.

Is the sequence of activities in the project that comprise the longest possible time duration throughout the network from start to finish?

In a project network, the critical path is the sequence of activities which has D. the longest time. A critical path tells us the longest duration to finish the activities of a project on time. The critical path includes slack time without causing delays.