Activity |
Predecessor |
Optimistic time |
Most likely time |
Pessimistic time |
A |
- |
3 |
5 |
8 |
B |
- |
4 |
6 |
10 |
C |
A,B |
2 |
5 |
8 |
D |
B |
3 |
5 |
9 |
E |
A,C |
3 |
6 |
9 |
F |
C,E |
1 |
3 |
5 |
G |
C,D |
3 |
4 |
9 |
H |
D |
4 |
6 |
10 |
I |
F,G |
3 |
4 |
9 |
J |
H |
2 |
4 |
6 A).Draw the project network b).what is the expected completion time of the project. c) after your calculation, if you find one path that has the longest completion time, why it is not necessarily critical path? d.) what are the variances for each activity. e) assuming that the path completion times are independent, what is the probability of completing the project in 25 weeks? f.) given the assumption in part(e), what is the probabilitu of completing the project in 20 weeks? |
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Activity Predecessor Optimistic time Most likely time Pessimistic time A - 3 5 8 B -...
(15 points) Activity Immediate Predecessor Optimistic Time Most likely Time Pessimistic Time A NONE 4 7 9 B A 2 4 6 C A 6 9 9 D B, C 5 5 5 E C 2 5 9 F D, E 3 3 6 Use both the longest path method and ES/EF; LS/LF method for the following questions (e) What are the slack values for non-critical activities? (4 points) (f) What is the probability that the project will be...
123) Given (Time in weeks): Activity Optimistic Most Likely Pessimistic A 3 4 5 B 6 7 14 C 2 3 10 D 6 9 12 E 4 5 12 F 1 3 11 G 1 2 9 H 2 5 8 I 1 4 7 Determine: (a) the critical path. ( HOW DO I DO THIS WITH OUT A PREDECESSOR?) (b) the probability that the project will be completed in 22 weeks.
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....
Activity Predecessor Optimistic Time (a) Most Probable Time (m) Pessimistic Time (b) A None 2 6 10 B None 2 4 6 C A 2 4 6 D A 4 6 8 E B 6 8 22 F B 6 8 10 G C,D 2 8 12 H E,F 2 7 12 I G,H 4 8 16 Question for Blank 1: What is the Critical Path? Question for Blank 2: What is the Expected Duration of the Project? round to...
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...
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...
Given the following activity list and times in days: (15 points) Activity Optimistic Most Likely Pessimistic Time Time Time A 7 10 12 B 6 8 14 C 5 9 12 D 12 14 21 E 10 12 15 F 4 5 8 G 1 3 8 H 12 15 17 NOTE 1: ASSUME THE CRITTCAL PATH IS “B-E-H”. Calculate the schedule duration of the critical path in days. What is the probability of the project being completed...
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...
Estimated activity times and precedences are given below: Activity Optimistic Most Likely Pessimistic Required Precedence A 6 7 14 B 8 10 12 C 2 3 4 D 6 7 8 A E 5 5.5 9 B, C F 5 7 9 B, C G 4 6 8 D, E H 2.7 3 3.5 F What is the probability that the project will be completed within: A. 21 Days B. 22 Days C. 25 Days
2. Consider the network described in the table below. Immediate Activity Predecessor(s)Pessimistic Probable Optimistic 15 10 8 K 9 8 7 L 10 6 5 M 3 3 3 N KM 9 5 1 O KM 10 7 4 P LN 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. (c) Calculate the probability that the project will...