OPERATIONS MANAGEMENT ASSIGNMENT
1. (ODD GROUPS)Dream Team Productions, a firm hired to coordinate the release of the movie Paycheck (starring Uma Thurman and Ben Affleck), identified 16 activities to be completed before the release of the film.
The tasks (in time units of weeks) are as follows:
|
Activity
|
Immediate Predecessors
|
Optimistic
Time
|
Most Likely
Time
|
Pessimistic
Time
|
|
A
|
-
|
1
|
2
|
4
|
|
B
|
-
|
3
|
3.5
|
4
|
|
C
|
-
|
10
|
12
|
13
|
|
D
|
-
|
4
|
5
|
7
|
|
E
|
-
|
2
|
4
|
5
|
|
F
|
A
|
6
|
7
|
8
|
|
G
|
B
|
2
|
4
|
5.5
|
|
H
|
C
|
5
|
7.7
|
9
|
|
I
|
C
|
9.9
|
10
|
12
|
|
J
|
C
|
2
|
4
|
5
|
|
K
|
D
|
2
|
4
|
6
|
|
L
|
E
|
2
|
4
|
6
|
|
M
|
F, G, H
|
5
|
6
|
6.5
|
|
N
|
J, K, L
|
1
|
1.1
|
2
|
|
O
|
I, M
|
5
|
7
|
8
|
|
P
|
N
|
5
|
1
|
9
|
a. For each activity, calculate the mean and variance of activity duration time
b. Draw(electronically) the AON project network (use excel spreadsheet).
c. Using the mean activity times, conduct a CPM analysis and develop an activity schedule for this project using early and late start and finish times, compute activity slack time, and define the critical activities. What is the expected (i.e. mean =Tavg) project completion time? The standard deviation of the completion time?
d. What is the probability the project will be completed in time for the company to release the film within Tavg +1 week?
e. What date results in a 97% probability of completion?
2. (EVEN GROUPS)Bill Fennema, a president of Fennema Construction, has developed the tasks, durations, and predecessor relationships in the following table for building new motels.
|
Activity
|
Immediate Predecessor(s)
|
Time Estimates (in weeks)
|
| |
|
Optimistic |
Most Likely |
Pessimistic |
|
A
|
-
|
4
|
8
|
10
|
|
B
|
A
|
2
|
8
|
24
|
|
C
|
A
|
8
|
12
|
16
|
|
D
|
A
|
4
|
6
|
10
|
|
E
|
B
|
1
|
2
|
3
|
|
F
|
E, C
|
6
|
8
|
20
|
|
G
|
E, C
|
2
|
3
|
4
|
|
H
|
F
|
2
|
2
|
2
|
|
I
|
F
|
6
|
6
|
6
|
|
J
|
D, G, H
|
4
|
6
|
12
|
|
K
|
I, J
|
2
|
2
|
3
|
a. What is the expected (estimated) time and variance for each activity?
b. Draw (electronically)and analyze the AON network for the project. Use excel Spreadsheet.
c. Identify the critical path(s).
d. What are the expected (mean) and variance of the time to complete the project?
e. What is the probability of completion of the project before week 37?
f. What date results in a 99% probability of completion?
Format your assignment according to the following formatting requirements:
1. The answer should be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides.
2. The response also include a cover page containing the title of the assignment, the student's name, the course title, and the date. The cover page is not included in the required page length.
3. Also Include a reference page. The Citations and references should follow APA format. The reference page is not included in the required page length.