J: 0K: 0 Step 4: Determine the Critical Path The critical path is the path with the longest total time and no delay.. O: Develop Marketing Campaign 15 daysZ: Conduct Marketing 10 days I
Trang 315 12
15 12
15 10
10
12 8
10 8
8 6
Trang 5EXERCISE 1
1 Draw the project network
The project network can be drawn as AON
(Activity on Node) or AOA (Activity on Arrow) Here, we will use AON
A (Contract signed) : No prefix.
B (Survey designed) : The prefix is A.
C (Target market identified) : The prefix
is B
D (Data collection) : Prefixes are B and C.
E (Develop presentation) : The prefix is B.
F (Analyze results) : The prefix is D.
G (Demographics) : The prefix is C.
H (Presentation) : Prefixes are E, F, and G.
2 Define "burst" and "merge" operations
Trang 6Burst activity : Is an activity from which
many other activities start In this case,
activity B is a burst activity because from B three other activities start (C, D, E)
Merge activity : Is an activity where many
other activities finish before it starts In this case, activity H is a merge activity because
it has three prefixes (E, F, G)
3 Draw the project network
Here is the AON project network:
A
|
B
/ | \
Trang 7A (Contract signed) : Start project.
B (Survey designed) : Starts after A is
Trang 8F (Analyze results) : Starts after D is
Burst activity : B (Survey designed)
Merge activity : H (Presentation)
Trang 9EXERCISE 2
1 Draw the project network
The project network can be drawn as AON
(Activity on Node) or AOA (Activity on Arrow) Here, we will use AON
A (Order review) : No prefix.
B (Order standard parts) : The prefix is A.
C (Produce standard parts) : The prefix is
A
D (Design custom parts) : The prefix is A.
E (Software development) : The prefix is
Trang 10H (Test) : Prefixes are E and G.
2 Define "burst" and "merge" operations
Burst activity : Is an activity from which
many other activities start In this case,
activity A is a burst activity because from A four other activities start (B, C, D, E)
Merge activity : Is an activity where many
other activities finish before it starts In this case, activities G and H are merge activities:
G (Assemble) : Has two prefixes (B
and F)
H (Test) : Has two prefixes (E and G).
3 Draw the project network
Here is the AON project network:
Trang 11A (Order review) : Start project.
B (Order standard parts) : Starts after A is
Trang 12E (Software development) : Starts after A
is completed
F (Manufacture custom parts) : Starts
after C and D are completed
G (Assemble) : Starts after B and F are
completed
H (Test) : Starts after E and G are
completed
Conclude
Burst activity : A (Order review)
Merge activities : G (Assemble) and H
(Test)
•
Trang 13EXERCISE 3
Step 1: Draw the project network diagram
Based on the information table, we can draw the project network diagram as follows:
A (2 days) → B (3 days) → C (4 days)
C → D (4 days), E (1 day), F (1 day)
Trang 16J: 0
K: 0
Step 4: Determine the Critical Path
The critical path is the path with the longest total time and no delay In this case, the critical path is:
A → B → C → D → G → H → I → J → K
The total critical path time is 22 days
Step 5: Reward/Penalty Evaluation
The project completion time is 22 days, while the target time is 17 days Therefore, the
project will be 5 days late
500
Trang 17Since the completion time exceeds 17 days, you will not receive the bonus and will be fined
$500
Conclusion : You will be fined $500 for
completing the project 5 days later than the target time
Trang 18C: Survey Users (4 days)
D: Identify New Features (8 days)E: Acquire Materials (12 days)F: Develop Mid-Campaign (10 days)G: Design Graphics (6 days)
H: Conduct Marketing (13 days)J: Perform Sales Calls (18 days)L: Produce Prototypes (16 days)
Trang 19O: Develop Marketing Campaign (15 days)
Z: Conduct Marketing (10 days)
Identify dependencies between
activities : We need to know which activity
must be completed before another activity can start Let's assume the dependencies are as follows (if there is other information, you need to update):
A (Project Team Form) must be
completed before B (Interview Users) and C (Survey Users)
B (Interview Users) must be completed before D (Identify New Features)
C (Survey Users) must be completed before F (Develop Mid-Campaign)
Trang 20D (Identify New Features) must be
completed before E (Acquire Materials) and G (Design Graphics)
E (Acquire Materials) must be
completed before L (Produce
Prototypes)
F (Develop Mid-Campaign) must be
completed before O (Develop
Marketing Campaign)
G (Design Graphics) must be
completed before H (Conduct
Marketing)
H (Conduct Marketing) must be
completed before J (Perform Sales
Calls)
Trang 21L (Produce Prototypes) must be
completed before Z (Conduct
Marketing)
Draw a project network diagram : Based
on activities and dependencies, draw a
project network diagram
Perform Forward Pass and Backward
Pass : Calculate earliest time (ES, EF) and
latest time (LS, LF) for each activity
Calculate Slack : Determine the slack time
for each activity
Determine the Critical Path : The longest
path through the project network, which determines the project completion time
Create Gantt Chart : Shows project
progress and delays of activities not on the critical path
Trang 22Step 1: Identify activities and
implementation time
The activities and their duration are listed above
Step 2: Identify dependencies
Suppose the dependencies are as follows:
Trang 23L → Z
Step 3: Draw the project network diagram
Based on the activities and dependencies, we can draw a project network diagram
Step 4: Forward Pass and Backward Pass Forward Pass (Calculate ES and EF):
Trang 26O: 0
Z: 0
Step 6: Determine the Critical Path
The critical path is the path with the longest total time and no delay In this case, the critical path is:
A → B → D → E → L → Z
The total critical path time is 53 days
Step 7: Create Gantt Chart
The Gantt Chart will display activities and their duration, and will also show the delays of
activities that are not on the critical path
Trang 27Conclusion : The critical path of the project is
A → B → D → E → L → Z with a total project completion time of 53 days The activities on the critical path have no delay, while other activities such as C and F have delay
Trang 28Identify dependencies between
activities : We need to know which activity
Trang 29must be completed before another activity can start Let's assume the dependencies are as follows (if there is other information, you need to update):
A (Design) must be completed before
B (Tear Down) and C (Order Appliances)
B (Tear Down) must be completed before D (Build Cabinets)
C (Order Appliances) must be completed before F (Install Appliances)
D (Build Cabinets) must be completed before E (Install Cabinets)
E (Install Cabinets) and F (Install Appliances) must be completed before
G (Inspect)
Trang 30Draw a project network diagram : Based
on activities and dependencies, draw a
project network diagram
Perform Forward Pass and Backward Pass : Calculate earliest time (ES, EF) and
latest time (LS, LF) for each activity
Calculate Slack : Determine the slack time
for each activity
Determine the Critical Path : The longest
path through the project network, which determines the project completion time
1
Step 1: Identify activities and
implementation time
Trang 31The activities and their duration are listed above
Step 2: Identify dependencies
Suppose the dependencies are as follows:
Step 3: Draw the project network diagram
Based on the activities and dependencies, we can draw a project network diagram
Step 4: Forward Pass and Backward Pass
Trang 32Forward Pass (Calculate ES and EF):
Trang 33Step 6: Determine the Critical Path
The critical path is the path with the longest total time and no delay In this case, the critical path is:
Trang 34A → B → D → E → G
The total critical path time is 16 days
Conclusion : The critical path of the project is
A → B → D → E → G with a total project
completion time of 16 days The activities on the critical path have no delay, while other activities such as C and F have a delay of 9 days