Quickest Route B St Li C La time matrix (minutes) 22 14 16 15 21 10 Liskeard Launceston Callington St Austell Bodmin 32 What is the quickest route from.

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Presentation transcript:

Quickest Route B St Li C La time matrix (minutes) Liskeard Launceston Callington St Austell Bodmin 32 What is the quickest route from St Austell to Launceston?

Dijkstra’s Algorithm Step 1Give the permanent label 0 to the starting vertex. Step 2 Give temporary labels to each vertex that is connected directly to the starting vertex. Step 3 Find the vertex with the smallest temporary label, number it and make it permanent. Step 4 Give temporary labels to each vertex that is connected directly to the previous vertex. Then find the vertex with the smallest temporary label, number it and make it permanent. Step 5 Repeat Step 4 until you have given a permanent label to the finishing vertex. Step 6 Use the permanent labels to trace back through the network to find the shortest path.

Liskeard Launceston Callington St Austell Bodmin Using Dijkstra’s Algorithm to find the quickest route from St Austell to Launceston The quickest route is: St Austell to Bodmin then Launceston

Shortest Path B St Li C La distance matrix (miles) Liskeard Launceston Callington St Austell Bodmin 16 What is the shortest route from St Austell to Launceston?