The Travelling Salesman Problem (Edexcel A-Level Further Mathematics): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is the main objective of the Travelling Salesman Problem?
What is the main objective of the Travelling Salesman Problem?
Find the shortest route visiting all vertices exactly once and returning to start
In Classical TSP, what type of graph is involved?
In Classical TSP, what type of graph is involved?
Complete graph
What does the triangle inequality state for weights in Classical TSP?
What does the triangle inequality state for weights in Classical TSP?
Weight of Weight of Weight of
In Practical TSP, what weight is assigned to missing edges?
In Practical TSP, what weight is assigned to missing edges?
Infinity ()
What does the Nearest Neighbour Algorithm generate?
What does the Nearest Neighbour Algorithm generate?
An upper bound for the minimum route
In Nearest Neighbour Algorithm, which vertex is selected next?
In Nearest Neighbour Algorithm, which vertex is selected next?
Nearest unvisited vertex
What is a key disadvantage of the Nearest Neighbour Algorithm?
What is a key disadvantage of the Nearest Neighbour Algorithm?
Heavily influenced by starting vertex
What type of cycle does Classical TSP aim to find?
What type of cycle does Classical TSP aim to find?
Hamiltonian cycle with minimum total weight
What technique is used to improve the Nearest Neighbour solution?
What technique is used to improve the Nearest Neighbour solution?
Shortcuts replacing route segments
What is a common mistake when using Nearest Neighbour Algorithm?
What is a common mistake when using Nearest Neighbour Algorithm?
Not trying different starting vertices
