Library / Operations Management Principles Framework
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OPS.10.2:5.1 - A deliverable with a join and shared deadline margin

A report needs preparation P, taking four hours, and evidence extraction E, taking two. Different people can perform them concurrently from time zero. Review V takes three hours after both finish; release R takes one hour after review. These resources are independently available, durations are known, and release completes delivery. The deadline is hour ten.

OperationPredecessorsEarliest intervalLatest start for delivery at 10Total float
PNone0-422
ENone0-244
VP and E4-762
RV7-892

The precedence path P-V-R takes eight hours and controls earliest delivery. E has two hours of free float before its delay moves V’s early start. Starting E at hour two preserves delivery at eight and may avoid producing an input earlier than useful. Starting it at four instead gives V at 6-9 and R at 9-10, consuming all final margin.

P, V and R each have two hours of total float against ten, but they share those hours. Delaying P by two moves V to six and R to nine; another two-hour delay of V would miss the deadline.

To preserve one hour before the external deadline, use an internal delivery target of nine. The latest starts become P at one, E at three, V at five and R at eight. They jointly give one feasible deferred plan with the intended final reserve.

Return to execution of the earliest-start plan. At hour two, preparation is found to need three further hours instead of two. E is already complete. Continue P to five, then V at 5-8 and R at 8-9. The new final margin is one hour. The changed input reopens preparation and its successors; E’s completed result remains available.