Question

Convert the given AON network to that of AOA network



$\text{Legend [4, 1]}\Rightarrow \text{[Total estimate, variance],}$
$\text{Z = 1.65 for P(Z) = 0.95}$

The maximum completion time of project is

Answer 1

$\begin{array}{cc}\text{Paths}& \text{Duration}\\ a-d-g& 4+4+6=14\\ a-c-e-g& 4+5+6+6+21\to CP\\ a-c-f& 4+5+1=10\\ b-e-g& 2+6+6=14\\ b-f& 2+1=3\end{array}$

$T_e=21$

$(\text{Var}{)}_{cp}=(\text{Var}{)}_a+(\text{Var}{)}_c+(\text{Var}{)}_e+(\text{Var}{)}_g$

$=1+1+0.44+1=3.44$

${\sigma }_{cp}=\sqrt{3.44}=1.854$

$\text{Maximum completion time}=T_e+3{\sigma }_{cp}=21+3\times 1.854=27$