Edexcel D2 2011 June — Question 1

Exam BoardEdexcel
ModuleD2 (Decision Mathematics 2)
Year2011
SessionJune
TopicTravelling Salesman

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d28d78c1-052d-4350-a7e3-284380e3bbab-2_703_958_351_552} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} The network in Figure 1 shows the distances, in km, between six towns, A, B, C, D, E and F. Mabintou needs to visit each town. She will start and finish at A and wishes to minimise the total distance travelled.
  1. By inspection, complete the two copies of the table of least distances in your answer book.
  2. Starting at A, use the nearest neighbour algorithm to find an upper bound for the length of Mabintou's route. Write down the route which gives this upper bound.
  3. Starting by deleting A, and all of its arcs, find a lower bound for the route length.