Schedule and critical path
Not all late tasks delay a project. The critical path is the longest chain of dependent work, and only delays on it move the end date. Managing everything equally spreads attention where it does not matter.
Method
- Map dependencies before durations. What must precede what determines the shape, and durations only populate it (see project-scoping).
- Identify the longest dependent chain. That chain is the project duration, and shortening anything else changes nothing.
- Focus management attention on the critical path. Daily attention there and weekly elsewhere, because that is where delay is real.
- Know the slack on everything else. Tasks off the path can slip by their slack without harm, which prevents false alarms and wasted escalation.
- Watch for the path changing. A delayed non-critical task can become critical, so the path is re-derived rather than fixed at kickoff.
- Buffer at the end, not per task. Per-task padding gets consumed by expanding work; a shared buffer at the project level survives.
- Start long-lead items first regardless of priority. Procurement, approvals, and hiring have durations you cannot compress, so they gate everything (see agent-procurement-desk).
Boundaries
Critical path analysis assumes dependencies and durations are known, which is weakest exactly where projects are riskiest. It handles sequence and not resource contention, where two critical tasks need the same person. Highly uncertain work suits flow-based management better than scheduling.