Activity
Most likely Duration (Days) 5 8 6 11 7
A B C D E
3
Immediate predecessors to activity D A, D A,C
C
A
4
1
X
E
D 5
2
B
Fig. 14.8 Critical Path.
Activity A B C D E
Early start (ES) 0 11 11 0 17
Early finish (EF) 5 19 17 11 24
SLACK = LS - ES
or
Late start (LS) 6 16 11 0 17
Late finish (LF) 11 24 17 11 24
SLACK 6 5 0 0 0
LF - EF
Critical activities are those where the slack is zero. In the network D, X, C, E are the critical activities : While A and B are non-critical. The slack is a time resource which a project manager can use for manipulating the resource and start and finish of the activity. Project Completion Time = Sum of activity times on a critical path = D+X+C+E = 6 + 0 + 11 + 7 = 24 days. Probability of completing the project
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