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acti activity boundaries activity duration activity number arrow diagram calendar dates chain of activities changes Chapter CM CM completion restraint computer programs cost slope CPM planner CPM programs crash duration critical activities critical chain Critical Path Method delay detailed direct cost earliest and latest earliest event earliest finish error estimates event slack example Figure VII following activity frag-net free float Gantt chart i-open interfering float ject large projects latest event latest finish Line of Balance manpower necessary negative float node numbers open end Operations Research origin node particular performed personnel phase possible predecessor node prepared priority project co-ordinator project duration project management project network project plan replanning represent Resource Allocation ro ro ro shorten shown sort reports starting restraint successor node technique terminal event terminal node time-scaled tion total float U.S. Navy updating usually