The Geometric Travelling Salesman Problem
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Description:The Geometric Travelling Salesman Problem is a classified NP-hard optimization problem. It can be defined as: Input: Output: |
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QuestionGiven a set of points representing cities over a map like a Graph (where each point is a vertex), find the graph's hamiltonian cycle associated with minimum length of the tour, where the distance between vertexs is the discretized Euclidean length shown below:
Although, not required by the formulation, we will restrict our TSP into problems in which the the triangle'distance inequality is satisfied:
A hamiltonian cycle of a connected graph is a path that visits all the vertexs in the graph, without repeating any of them, and finishing in the same vertex which we started the cycle. |
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Problem InstancesIn order to define an instance of this problem we need to provide the set of cities, where foreach city we must indicate the (X,Y) coordinates over the map. |
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Related Bibliography and Papers
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Last Updated: 6/06/03 For any question or suggestion, click here to contact with us. |