Skip to main content
ScotlandBusiness ManagementSyllabus dot point

How does critical path analysis schedule a project, identify the critical path and reveal where time can be saved?

Critical path analysis: a network technique that sequences interdependent project activities, identifies the critical path and float, and shows the shortest time to complete a project and where delay matters most.

How critical path analysis supports project management in Advanced Higher Business Management: sequencing interdependent activities in a network, finding the critical path and float, and identifying the shortest completion time and where delay is most damaging.

Generated by Claude Opus 4.814 min answer

Reviewed by: AI editorial process; not yet individually human-reviewed

Have a quick question? Jump to the Q&A page

Jump to a section
  1. What this key area is asking
  2. What critical path analysis is
  3. The critical path and float
  4. How it is used
  5. Strengths and limitations
  6. Examples in context
  7. Why this tool matters
  8. Try this

What this key area is asking

Critical path analysis (CPA) is the most powerful project-scheduling tool in the course. It sequences interdependent activities in a network, finds the critical path (the longest chain that sets the minimum project time), and identifies float (spare time on non-critical activities). Advanced Higher expects you to explain the critical path and float, and evaluate CPA's usefulness, especially against the Gantt chart.

What critical path analysis is

The network shows each activity, its duration, and which activities must finish before it can start. Working through the network reveals the earliest and latest times each activity can occur, and so the critical path.

The critical path and float

  • The critical path. These activities must be kept on time at all costs; they are where the manager concentrates attention and resources.
  • Float. Non-critical activities have slack, so they can slip a little, or have resources moved away from them to the critical path, without affecting the end date.

How it is used

CPA lets a manager:

  • Find the shortest completion time for the whole project.
  • Identify the critical activities that must not slip and watch them closely.
  • Reallocate resources from activities with float to critical ones to avoid or recover delay.
  • Support just-in-time scheduling, ordering materials to arrive exactly when each activity needs them.

Strengths and limitations

The evaluation the examiner wants is two-sided.

  • Strengths. Shows dependencies clearly (a Gantt chart does not); identifies the minimum time and the critical activities; reveals float for resource reallocation; and supports faster, just-in-time completion.
  • Limitations. Relies on accurate duration estimates; can be very complex on large projects; assumes activities and dependencies are fixed, whereas real projects change; and shows calendar timing less visually than a Gantt chart.

Examples in context

Why this tool matters

Critical path analysis is the most sophisticated of the named analytical tools and complements the Gantt chart: CPA handles dependencies and the critical path, the Gantt chart handles visual scheduling and progress. Together they let a candidate plan, justify and evaluate a project's timeline in the question paper and project.

Try this

Q1. Define the critical path. [2 marks]

  • Cue. The longest sequence of dependent activities in a project, which determines the shortest possible time to complete the whole project.

Q2. Explain why an activity with float is treated differently from a critical activity. [4 marks]

  • Cue. A critical activity has no spare time, so any delay delays the whole project and it must be watched closely; an activity with float has slack, so it can slip or have resources moved from it without affecting the end date.

Exam-style practice questions

Practice questions written in the style of SQA exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

SQA AH style6 marksExplain what is meant by the critical path and why it matters to a project manager.
Show worked answer →

Explain means reasons with development. The critical path is the longest sequence of dependent activities through a project network, and it determines the shortest possible time in which the whole project can be completed. The activities on it have no spare time (no float), so any delay to a critical activity delays the entire project.

It matters because it tells the manager which activities must be watched most closely and kept on time, where extra resources should be focused to avoid or recover delay, and how long the project will take overall. Non-critical activities have float, so they can slip a little without affecting the end date. The best answers explain both that the critical path sets the minimum project duration and that delay on it is uniquely damaging, so it guides where to concentrate attention, not just define it.

SQA AH style8 marksDiscuss the usefulness of critical path analysis for managing a project.
Show worked answer →

Discuss means weigh and judge. Strengths: it shows the dependencies between activities clearly (which a Gantt chart does not); it identifies the shortest completion time and the critical activities that must not slip; it reveals float on non-critical activities, allowing resources to be moved to where they matter; and it supports just-in-time scheduling and faster completion. Limitations: it relies on accurate estimates of each activity's duration, which may be wrong; it can become very complex on large projects; it assumes activities and dependencies are known and fixed, whereas real projects change; and it does not show the calendar timing as visually as a Gantt chart.

A strong answer judges that critical path analysis is powerful for understanding dependencies, minimising project time and focusing attention, but depends on good estimates and is often best combined with a Gantt chart for visual scheduling, rather than listing.

Related dot points

Sources & how we know this