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A 2-opt algorithm implementation of the Travelling Salesman Problem

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TravellingSalesman

The TSP (Travelling Salesman Problem) is an optimization problem, where a salesman or agent, wants to visit n distinct cities (represented as vertices), while choosing the shortest distance travelled/cost (represented by edges). The problem can be rephrased as finding a "Hamiltonian circuit with minimum cost/length".

In this implementation, we use the 2-opt Heuristic approach on a Symmetric Travelling Salesman Problem, where we begin with an initial T and replace 2 edges with two new edges, with the aim to find a Tour with a smaller length/cost. This algorithm gradually improves and sets the current T to the local minimum in it's Neighbourhood (a set of two adjacent tours).

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