For the project data in Exercise 4.20, assume that the given activity durations represent the most likely PERT estimates \((m)\). Define the other PERT estimates \(a\) and \(b\) as follows:

\[ \begin{aligned} & a=m-1 \\ & b=m+1 \end{aligned} \]

Disregarding the PDM lead-lag constraints, find the probability of finishing the project within 51 time units.

Exercise 4.20

Assume that we have the following precedence diagramming network data:

The following PDM restrictions are applicable to the network:

\[ \begin{aligned} & \mathrm{SS}_{\mathrm{AB}}=3 \\ & \mathrm{FF}_{\mathrm{AB}}=12 \\ & \mathrm{FS}_{\mathrm{BC}}=1 \\ & \mathrm{SS}_{\mathrm{BD}}=6 \\ & \mathrm{SF}_{\mathrm{DE}}=13 \\ & \mathrm{FS}_{\mathrm{FG}}=3 \end{aligned} \]
If the project start time is \(t=5\) and the project due date is \(t=52\), perform conventional CPM analysis of the network without considering the lead-lag PDM restrictions. Show both forward and backward passes. Identify the critical path. Tabulate the TS and FS for the activities in the network.

Transcribed Image Text:

Activity Predecessor Duration A 8 B A 12 C B 4 D B 7 E C, D 8 F C D 12 G E, F 23