Question 17.p.1: The following table contains information related to the majo...
The following table contains information related to the major activities of a research project. Use the information to do the following:
a. Draw a precedence diagram using AOA.
b. Find the critical path.
c. Determine the expected length of the project.
| Activity | Immediate Predecessor |
Expected Time (days) |
| a | – | 5 |
| c | a | 8 |
| d | c | 2 |
| b | a | 7 |
| e | – | 3 |
| f | e | 6 |
| i | b.d | 10 |
| m | f,i | 8 |
| g | – | 1 |
| h | g | 2 |
| k | h | 17 |
| end | k,m |
a. In constructing networks, these observations can be useful.
(1) Activities with no predecessors are at the beginning (left side) of the network.
(2) Activities with multiple predecessors are located at path intersections.
Complete the diagram in sections. Go down the activity list in order to avoid overlooking any activities.
AOA diagram
AON diagram
Here are some additional hints for constructing a precedence diagram.
(1) Use pencil.
(2) Start and end with a single node.
(3) Avoid having paths cross each other.
(4) Have activities go from left to right.
(5) Use only one arrow between any pair of nodes.
b. and c.
| Path | Length (days) |
| a–c–d–i–m* | 5 + 8 + 2 + 10 + 8 = 33† |
| a–b–i–m | 5 + 7 + 10 + 8 = 30 |
| e–f–m | 3 + 6 + 8 = 17 |
| g–h–k | 1 + 2 + 17 = 20 |
*Critical path
†Expected project duration
