A partially solved PERT problem is detailed in the table below. Times are given in weeks.
Activity |
Preceding |
Optimistic Time |
Probable Time |
Pessimistic Time |
Expected Time |
Variance |
A |
-- |
7 |
9 |
14 |
1.361 |
|
B |
A |
2 |
2 |
8 |
0 |
|
C |
A |
8 |
12 |
16 |
0 |
|
D |
A |
3 |
5 |
10 |
1.361 |
|
E |
B |
4 |
6 |
8 |
0 |
|
F |
B |
6 |
8 |
10 |
0 |
|
G |
C, F |
2 |
3 |
4 |
0 |
|
H |
D |
2 |
2 |
8 |
1.000 |
|
I |
H |
6 |
8 |
16 |
2.778 |
|
J |
G, I |
4 |
6 |
14 |
2.778 |
|
K |
E, J |
2 |
2 |
5 |
0.250 |
Calculate the expected time for each activity. Enter these values in the appropriate column in the table above.
Drao the network
b. Which activities form the critical path?
c. What is the estimated time of the critical path?
d. What are the project variance and the project standard deviation?
e. What is the probability of completion of the project after week 40?
A partially solved PERT problem is detailed in the table below. Times are given in weeks....
16) A partially solved PERT problem is detailed in the table below. Times are given in weeks. Optimisti Activity Preceding Time Probable Pessimistie Expected Time Time Time Variance 10 8 19 20 - 니다 4-ww0 8 16 14 1 2.79 276 G + - 5 (a) Calculate the expected time and variance for each activity. Enter these values in the appropriate columns in the table above. (b) Which activities form the critical path? (c) What is the estimated time of...
#1 #2 #3 #4 Time Estimates (in weeks) for SOM's Bus Project is given in the following table. Activity Optimistic time Most likely time Pessimistic time A 2 4 6 B 3 5 8 Ic с 4 6 8 D 3 5 10 Please help the project management team to find the standard deviation of Activity D. keep two decimals if not exact, either round up or down is ok. For example, for 0.1346, (0.13 or 13) and (0.14 or.14)...
PERT Analysis: The following represents a project with four activities. All times are in weeks. Activity Immediate Predecessor Optimistic Time Most Likely Time Pessimistic Time A - 3 8 14 B - 8 8 8 C A 6 9 18 D B 6 11 17 According to the data in the above Table: What is the critical path? What is the minimum expected completion time for the project? According to the above Table, there are four activities in the project....
The following table shows estimates of activity times (weeks) for a project: Activity Optimistic Time Most Probable Time Pessimistic Time A 3 4.5 9 B 1.5 2 2.5 C 5 6 7 D 4 4.5 8 E 5 6 7 F 1 2.5 7 G 7 9 11 Suppose that the critical path is A-B-D-F-G. Use Appendix A to answer the questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the...
Use Excel and show formulas used From the given table of activities and associated times, create a PERT/CPM diagram and complete the forward and backward passes Immediate Predecessor ActivityDescription Critical Path = Prepare Blue Print Receive Permits Prepare Ground Create Press ReleaseB Cement Work Steel Work Cut Ribbon Ceremony E Total Project Time C,D Pessimistic PERT Time Most Probable 17 12 4 Activit Optimistic 26 13 16 12 12 13
1. Sid Orland is involved in planning a scientific research project. The activities are displayed in the following diagram. Optimistic, most likely, and pessimistic time estimates are displayed in the following table. Figure for Problem 1. r e 14 16 E 4 H 4 7 11 7 11 16 20 G 5 0 33 611 16 11 16 D 3 Most Likely Pessimistic Activity Optimistic 4 4 (a) Determine the expected times and variances for each activity along the critical...
Pert project method Activity Predecessors A group 5 optimistic Most likely Pessimistic Expected Variance a m b Time (t) o 2 3 2 1 B с D NWN mlm A 1 A,B 2 4 1 6 7 9 F 1 с с DE F,G 4 2 5 3 G 4 12 H 2 4 From the table above find the flowing answers. 1. Construct the project Network 2. Find the expected duration and Variance of each activity 3. Find the...
Consider the network described in the table below. Activity Immediate Predecessor(s) Pessimistic Probable Optimistic J -- 15 10 8 K -- 9 8 7 L J 10 6 5 M J 3 3 3 N K, M 9 5 1 O K, M 10 7 4 P L, N 10 8 3 Draw the network diagram and answer the following questions. (a) Calculate the expected duration of each activity. (b) Calculate the expected duration and variance of the critical path....
Use a PERT network to establish the expected duration for the project described in the table below: (SHOW the PERT NETWORK) Activity Predecessors Duration a m b Exp. Duration Var. Crash Week 1 Crash Week 2 A - 3 6 9 700 100 B A 6 7 14 600 200 C A 4 6 14 400 600 D B, C 4 6 8 200 600 E B, C 6 9 12 400 300 F C 4 6 14...
1- Consider the table shown below: Task Predecessor Time (weeks) Expected time Variance of time Optimistic Most likely Pessimistic A - 1 3 5 B A 2 6 10 C B 4 7 10 D B, C 1 2 9 E D 2 4 6 F D,E 4 7 10 G F 1 3 5 a) Calculate expected time and variance for each task. b) Find the critical path and expected project competition time? c) What is the probability of...