Draw an AOA network for the project described in Exercise 4.19. Use as few dummy arcs as possible.

Exercise 4.19

Assume that you are the manager responsible for the project whose data is presented as follows:

a. Draw the CPM diagram for this project.

b. Perform the forward and backward pass calculations on the network and indicate the project duration.

c. List all the different paths in the network in decreasing order of criticality index in the tabulated form shown as follows. Define the criticality index as follows:

Let \(S_{k}=\) sum of the TSs on path number \(k\) (i.e., sum of TS values for all activities on path \(k\) ).

\(S_{\max }=\) maximum value of \(S\) (i.e., \(\operatorname{Max}\left\{S_{k}\right\}\) ).

\[ C_{k}=\left[\left(S_{\max }-S_{k}\right) / S_{\max }\right] \times 100 \% \]

Define the most critical path as the one with \(\mathrm{Ck}=100 \%\).

Define the least critical path as the one with \(\mathrm{Ck}=0 \%\).

Transcribed Image Text:

Activity A B Description Develop required material list Procure pipe C Erect scaffold D E F Prefabricate sections G H Remove scaffold Deactivate line Install new pipes (Deleted from work plan) Duration (h) Preceding Activities 8 200 12 4 8 40 32 A - I, M - B F, L - - I Fit-up pipes and valves 8 G, K Procure valves 225 A K Install valves 8 J, L L Remove old pipes and valves 35 C, E M Insulate 24 G, K ZO N Pressure test 6 I Cleanup and start-up 4 D, N