Click here to view the network diagram. Using the diagram, find:The critical path.How long it will...

Question

Click here to view the network diagram. Using the diagram, find:

The critical path.
How long it will take to complete the project?

How does simulation determine the probabilities of various project completion times?

What is "slack" and why is it important?

Why is activity-on-arrow (AOA) or activity-on-node (AON) of significant value to the project manager?

How is the uncertainty in project scheduling dealt with?

Should the critical path activities be managed differently from noncritical path activities? Explain.

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Robert · Accepted Answer

Network Diagram
Question: Finding the critical Path 
Solution 1: 
Activities Time Taken Predecessors 
A 10   
B 7   
C 5 A 
D 7 A 
E 11 B 
F 3 C 
G 5 D,E
Activities 
Early Start 
ES 
Early Finish 
EF 
Last Start 
LS 
Last 
Finish 
LF 
Slack 
(LF-EF 
or LS-
ES) 
Succe
ssor 
Activi
ties 
 A-->C,D 0 10 1 11 1 C D 
B-->E 0 7 0 7 0 E   
C-->F 10 15 15 20 5 F   
D-->G 10 17 11 18 1 G   
E-->G 7 18 7 18 0 G   
F 15 18 20 23 5     
G 18 23 18 23 0
Critical Path would include those activities whose slack is equal to zero. As activities B,E and G 
has slack equal to zero so critical path is B->E->G or we can say 1->3->5->6. 
Gannt Chart for this network diagram is shown below.
Question: How long it will take to complete the project? 
Solution: Time taken to complete the project will be equal to sum of time taken by critical path 
activities i.e. sum of time taken by activities B, E and G which is equal to 7+11+5=23 time units.
Question: How does simulation determine the probabilities of various project completion times? 
Solution: Using simulation project managers can run the same model — selecting a random 
value for each task thousand times to come up with maximum (worst case scenario-X), minimum 
(best case scenario-B) and average time for project completion(A). When the simulation is 
complete, they look at statistics from the simulation' to understand the risk in the model 
(RiskAMP, 2015).

Click here to view the network diagram. Using the diagram, find: The critical path. How long it will take to complete the project? How does simulation determine the probabilities of various project...

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