Please complete the following sheet. Use the graphical representation technique, Precedence Diagramming Method (PDM), also known as the Activity on Node (AON) Diagramming Method, to shows the inter-dependencies among various project activities and determine critical path(s) and slack(s) for the project given.

1. Review the activities and the completion times and predecessor activities

2. Draw an AON (Activity on Node) diagram for the project

3. Perform a FP (forward pass) to determine end time

4. Perform a BP (backwards pass) to determine slack and critical path

5. Ensure all information is correctly diagramed and placed in the chart

6. Answer questions regarding the impact on project completion times based on activity changes.

A project consists of 8 activities. The activity completion times and the precedence relationships are as follows:

Activity Completion time immediate predecessor

(days) activities

A 5 -

B 7 -

C 6 -

D 3 A

E 4 B,C

F 2 C

G 6 A,D

H 7 E,F

Draw the network diagram using AON model notations:

What is the critical path? ____________________

Calculate the minimum overall project completion time and identify which activities are critical by filling out the chart below - forward and backward pass.

What is the minimum time to complete the projects? _________________

	ES	EF	LS	LF	SLACK	CRITICAL PATH?
A
B
C
D
E
F
G
H

ID Only: __________________________________

If activity E is delayed by 3 days how is the project completion time affected? Why is this the case? Will the critical path change, why or why not?

If activity F is delayed by 3 days how is the project completion time affected? Why is this the case? Will the critical path change, why or why not?

If you want to shorten (crash) the overall time of this project, how do you pick which activity to shorten? What information, if any, do you need?

Once you shorten (crash) an activity, do you need to redo the AON, yes or no? Why or why not?