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Operations Management

Critical path analysis and network diagrams

  • 2 things to know
  • Components 01, 02 and 03

Overview

Recall questions on critical path analysis and the critical path, earliest start and latest finish times, calculating total float and free float and how they differ, minimum project duration, latest start days, directing resources to critical activities, the risks of adding workers, and the weakness of duration estimates.

What you need to know

Answer each one before you reveal it.

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Key term

Distinguish between total float and free float.

Key term

Why are the duration estimates the weakest part of critical path analysis?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is critical path analysis?

    Model answer

    A technique that maps a project's activities and their dependencies in order to find the shortest time in which the project can be completed and which activities cannot be delayed.

  2. 2

    What is meant by the critical path in a network?

    Model answer

    The sequence of activities with no float, whose combined duration sets the minimum time for the whole project.

  3. 3

    What does the earliest start time of an activity tell a project manager?

    Model answer

    The soonest that activity can begin, given that everything it depends on has been completed.

  4. 4

    What does the latest finish time of an activity tell a project manager?

    Model answer

    The latest that activity can be completed without delaying the whole project.

  5. 5

    Two activities lead into the same node, finishing at the earliest on day 11 and day 12. State the earliest start time of the activities that follow and explain why.

    Model answer

    It is day 12, because every activity leading into a node must be finished before any activity leaving it can begin.

  6. 6

    State the formula for the total float of an activity.

    Model answer

    Total float = latest finish time − duration − earliest start time.

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