Example $2\mathrm{.}36$

Given the following data in Table $2\mathrm{.}114,$ draw the CPM diagram, find out the critical path and compute the total float, free float and independent floats for activities E$,$ D$,$ G$,$ H and L$.$

M$02\_$PRAD$30856\_01\_$C$02.$indd $13706/02/1911$:$24$ AM

$138|$ Chapter $2$

Table $2\mathrm{.}114$ Data on predecessor and duration for activities

Activity Predecessor$($s$)$ Duration $($Days$)$

A $9$

B $20$

C $10$

D A $11$

E C $10$

F B$,$ C $4$

G F $2$

H D$,$ F $5$

I E$,$ F$,$ K $18$

J G$,$ H $14$

K $24$

L K $6$

Solution:

The critical path is B~F~H~J and the duration is $43$ days. The floats for all the activities are given

in Table $2\mathrm{.}115.$

Table $2\mathrm{.}115$ Total, free and independent floats

Activity Predecessor$($s$)$ Duration $($Days$)$ Total Float Free Float Independent Float

A $920$

B $20$

C $10555$

D A $11220$

E C $10544$

F B$,$ C $4$

G F $2333$

H D$,$ F $5$

I E$,$ F$,$ K $18110$

J G$,$ H $14$

K $24130$

L K $61313$