4 Table 4.1 shows some of the activities involved in preparing for a meeting.
\begin{table}[h]
| Activity | Duration (hours) | Immediate predecessors |
| A | Agree date | 1 | - |
| B | Construct agenda | 0.5 | - |
| C | Book venue | 0.25 | A |
| D | Order refreshments | 0.25 | C |
| E | Inform participants | 0.5 | B, C |
\captionsetup{labelformat=empty}
\caption{Table 4.1}
\end{table}
- Draw an activity-on-arc network to represent the precedences.
- Find the early event time and the late event time for each vertex of your network, and list the critical activities.
- Assuming that each activity requires one person and that each activity starts at its earliest start time, draw a resource histogram.
- In fact although activity A has duration 1 hour, it actually involves only 0.5 hours work, since 0.5 hours involves waiting for replies. Given this information, and the fact that there is only one person available to do the work, what is the shortest time needed to prepare for the meeting?
Fig. 4.2 shows an activity network for the tasks which have to be completed after the meeting.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{c429bfed-9241-409a-9cd5-9553bf16c9df-5_533_844_1688_294}
\captionsetup{labelformat=empty}
\caption{Fig. 4.2}
\end{figure}
P: Clean room
Q: Prepare draft minutes
R: Allocate action tasks
S: Circulate draft minutes
T: Approve task allocations
U: Obtain budgets for tasks
V: Post minutes
W: Pay refreshments bill - Draw a precedence table for these activities.