Use the critical path algorithm to calculate ES, EF, LS, LF, free float and total float.
Question
You are managing a new product development effort for the mixing division of a commercial kitchen equipment manufacturer. You have a team of five people, each of whom has special expertise. These people have been assigned specific tasks, as shown. They will, of course, draw upon the resources of other people, but each one holds ultimate accountability for one or more activities. An individual must be available for the duration of an assigned activity and cannot do two things at once. No activity splitting will be allowed. Your initial schedule, along with team assignment information, is shown below.
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Activity
Time
Immediate
Team Member
(Weeks)
Predecessor
Responsible
A. Determine client needs
4
None
Preston
B. Conceptual design
5
A
Alesha
C. Manufacturing Input
3
A
Davis
D. Marketing plan
5
B
Jack
E. Sales force input
4
D
Preston
F. Detailed design
4
B, C
Jack
G. Physical mock-up
3
F
Bett
H. Client review
3
G
Preston
I. Determine materials needs
3
F
Davis
J. Identify suppliers
4
I
Davis
K. Design manufacturing system
6
G
Davis
L. Ramp up production
4
J, K
Bett
M. Project completion milestone
0
E, H, L
–
Prepare AON network diagram.
Use the critical path algorithm to calculate ES, EF, LS, LF, free float and total float. Enter these figures next to the task boxes in your AON schedule. Highlight the critical path.
Reschedule the project to remove resource conflicts; find a minimum time schedule that does not require any of your team members to be in two different places at the same time.
Identify the critical chain.
Identify points where you think the schedule may be vulnerable to uncertainties.
Show where you would place feeding buffers and resource buffers.
Write a paragraph explaining the results of your analysis. Consider your audience to be the project sponsor.
