| Exam Board | OCR |
|---|---|
| Module | Further Discrete (Further Discrete) |
| Year | 2017 |
| Session | Specimen |
| Marks | 13 |
| Topic | Critical Path Analysis |
| Type | Schedule with limited workers - create schedule/chart |
| Difficulty | Standard +0.3 This is a standard critical path analysis question requiring cascade chart construction, float calculations (total/independent/interfering), and resource scheduling. While it involves multiple parts and careful bookkeeping, these are routine algorithmic procedures taught in Further Discrete with no novel problem-solving required. The techniques are mechanical once learned, making it slightly easier than average for Further Maths content. |
| Spec | 7.05a Critical path analysis: activity on arc networks7.05b Forward and backward pass: earliest/latest times, critical activities7.05c Total float: calculation and interpretation7.05d Latest start and earliest finish: independent and interfering float |
Kirstie has bought a house that she is planning to renovate. She has broken the project into a list of activities and constructed an activity network, using activity on arc.
\includegraphics{figure_1}
\begin{enumerate}[label=(\roman*)]
\item Construct a cascade chart for the project, showing the float for each non-critical activity. [7]
\item Calculate the float for remodelling the internal layout stating how much of this is independent float and how much is interfering float. [3]
\end{enumerate}
Kirstie needs to supervise the project. This means that she cannot allow more than three activities to happen on any day.
\begin{enumerate}[label=(\roman*)]
\setcounter{enumi}{2}
\item Describe how Kirstie should organise the activities so that the project is completed in the minimum project completion time and no more than three activities happen on any day. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR Further Discrete 2017 Q2 [13]}}