BA 356 quantitative Network Diagram
11.1) Consider the project with the following estimates for activity times and precedence relationships:
| Activity | Optimistic
Time |
Most
Likely Time |
Pessimistic
Time |
Immediate
Predecessor(s) |
| A | 3 | 4 | 5 | — |
| B | 5 | 7 | 9 | — |
| C | 2 | 3 | 10 | A |
| D | 2 | 5 | 8 | B |
| E | 1 | 7 | 7 | B |
| F | 3 | 5 | 7 | C, D |
| G | 7 | 8 | 9 | D, E |
| H | 2 | 6 | 10 | F |
(a) What is the expected duration of the project?
(b) What is the project variance?
(c) If the deadline of the project is 25 days, what is the probability of finishing the project on time?
11.2) A small software development project has five major activities. The times are estimated and provided in the table below.
| Activity | Immediate
Predecessor |
a | m | b |
| A | — | 2 | 5 | 8 |
| B | — | 10 | 10 | 10 |
| C | A | 4 | 7 | 10 |
| D | B | 2 | 5 | 14 |
| E | C | 3 | 3 | 3 |
(a) What is the expected completion time for this project?
(b) What variance would be used in finding probabilities of finishing by a certain time?
(c) Draw a network diagram for the project.
11.3) 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 |
Review the network diagram (see attached) to answer this question.
Determine:
(a) the critical path.
(b) the probability that the project will be completed in 22 weeks.
SAMPLE ASSIGNMENT
