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Data · dataset · 2024

Hard to Solve Instances of the Euclidean Traveling Salesman Problem

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In our paper Hard to Solve Instances of the Euclidean Traveling Salesman Problem (Mathematical Programming Computation (2021) 13:51-74) we construct a family of Euclidean instances for the Traveling Salesman Problem for which the integrality ratio of the subtour LP converges to 4/3.

Description

These instances turn out to be very hard to solve with exact TSP solvers. On a 200 vertex instance from our family, Concorde, the fastest known exact TSP solver, needs more than 1,000,000 times the runtime it needs for TSPLIB instances of similar size.

On a 1000 vertex instance the runtime factor is already about 10^27. Here we provide instances with up to 200 vertices from our family in TSPLIB format. We also provide code for generating these instances for an arbitrary number of vertices.

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Finally we make all the .log-files available of the runs of Concorde we describe in our paper.

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Provenance · 1 source records, 10 field assertions
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