Example $2\mathrm{.}29$

A project has the following activities as given in Table $2\mathrm{.}107$ and other activity$-$related characteristics.

Table $2\mathrm{.}107$ Project activity details

Activity Predecessor$($s$)$ To

$($Weeks$)$ Tm $($Weeks$)$ Tp

$($Weeks$)$

A $4716$

B $1515$

C A $61230$

D A $258$

E C $51117$

F D $3615$

G B $3927$

H E$,$ F $147$

I G $41928$

$($a$)$ Draw the PERT network.

$($b$)$ Identify the critical path.

$($c$)$ Determine the mean project completion times.

$($d$)$ Find the probability that the project is completed in $36$ weeks.

$($e$)$ If the project manager wishes to be $99\%$ sure that the project is completed, how many days

should be provided for the project work?

Solution:

$($b$)$ A $$ C $$ E $$ H $($c$)37$ weeks $($d$)42\mathrm{.}07\%($e$)48\mathrm{.}63$ ~ $49$ weeks