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Slack time

As explained in Statistics Every Programmer Needs

Slack time is the amount of time an activity can be delayed without delaying subsequent activities or overall project completion.

Slack time measures how long an activity can be delayed without delaying later activities or the project completion date. Calculate it from earliest and latest schedule times. section 13.3.3

Use the schedule comparison to classify activities:

  • Compute slack as latest start minus earliest start, or latest finish minus earliest finish; both calculations produce the same result. section 13.3.3
  • Classify activities with zero slack as critical path activities because any delay directly affects the project timeline. section 13.3.2
  • Treat activities with positive slack as noncritical, allowing delay up to the available amount without affecting completion. section 13.3.3
  • Obtain earliest times through a forward pass and latest times through a backward pass across the project network. section 13.3.3

Automated reporting tool schedule

The computed schedule assigns activities F and H five weeks of slack and activity I nine weeks. Activities A–E, G, and J–L have zero slack and therefore form the critical path.

For larger networks, represent activities, dependencies, and expected durations in a pandas DataFrame, then automate forward-pass, backward-pass, and slack calculations with Python and NumPy. section 13.3.4

How Statistics Every Programmer Needs covers it

How deep it goes
Defines equivalent formulas, explains forward and backward passes, and demonstrates manual and programmatic calculation.
Examples
Uses an automated reporting tool network, a CPM results table, and Python functions operating on activity dependencies and durations.
What it assumes
Assumes a project network with activity dependencies and durations, while establishing earliest and latest schedule times through CPM passes.
What you can do after
Apply critical path method calculations manually or automate them with pandas and NumPy to prioritize time-sensitive activities.
How it connects
Connects slack time to critical path method, project scheduling, forward pass, backward pass, and activity dependencies.

Related concepts

This explainer was generated by Manning's knowledge graph from the text of Statistics Every Programmer Needs. The section links point to the parts of the book it draws on.