Operations research
Explainer
Critical Path: The Chain That Sets Your Deadline
One delayed task can delay a whole mine project. Which one?
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Lesson notes
Key points
- The Critical Path Method models a project as a network of activities linked by precedence, meaning which tasks must finish first.
- A forward pass finds each activity's earliest start, and a backward pass finds the latest start that keeps the deadline.
- Total float, or slack, is latest start minus earliest start; activities with zero float form the critical path.
- The critical path is the longest path through the network, so its length equals the minimum project duration.
Takeaway: Zero-float activities form the longest path and set the deadline.
Quick check: The critical path is the network's...
- Shortest path
- Longest path
- Cheapest path
Activity networkForward & backward passTotal floatLongest path
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