The aim of a travelling salesperson problem is to visit every vertex of the network and return to the starting vertex using the route that has the minimum total weight. The problem requires students to find the best route for a courier to take to deliver parcels to a number of towns and return back to base.

Travelling salesperson problem: presentation - an introduction to the problem outlining the student task and putting the task into context.

Travelling salesperson problem: problem - a student version of the problem outlined in the introduction.

Travelling salesperson problem: solution - one possible suggested solution for the problem.

The OR Society have developed these problems for use in Decision mathematics lessons. The problems can be used as an introduction to a topic, part of the learning process or as a plenary exercise.

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