The Travelling Salesperson Problem (AQA A-Level Further Maths): Flashcards
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Practise the cards
10 cards from this deck
TSP objective
TSP objective
Shortest route visiting all vertices & returning to start
Hamiltonian cycle
Hamiltonian cycle
Closed path visiting each vertex exactly once, then returns
Classical TSP seeks
Classical TSP seeks
Minimum weight Hamiltonian cycle
Tours in -vertex network
Tours in -vertex network
Heuristic algorithm
Heuristic algorithm
Finds good solution that may not be optimal
Nearest neighbour: at each step, choose
Nearest neighbour: at each step, choose
Minimum weight arc to unvisited vertex
Nearest neighbour strategy
Nearest neighbour strategy
Repeat from each vertex, select best tour
Upper bound from known tour
Upper bound from known tour
Length of that tour
Lower bound: delete , calculate
Lower bound: delete , calculate
Two smallest arcs from + MST of rest
Best bounds to find
Best bounds to find
Smallest upper bound, largest lower bound
