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Fractional 2-matching GPU solver

Fractional 2-matching (F2M) is a linear programming relaxation of the 2-matching problem which, in turn, is a relaxation of traveling salesman problem. Here we present a fractional 2-matching problem GPU solver based on gradient descent algorithm which exploits the special structure of F2M. The algorithm can be run in parallel mode and was implemented as CUDA C/C++ program.

Requirements:

You must (CUDA):

You must (C++):

Compilation

To compile the code just run "make" command.

This would create a file: F2M.solver.exe.

Input/Output

To run program :

./F2M.solver.exe file N

You must provide 2 arguments:

  • file is file in TSPLIB format
  • N the number N (the top N closest neighbors for each node). Please note that for large scale problems (> 20,000 nodes ) the N should not exceed 200-500 or you risk to run out of memory (cuda device memory is commonly a limiting factor).

To run test example:

  • ./F2M.solver.exe examples/vsli/xqf131.tsp 20"

As output, 2 files are provided:

  • file with optimal solution: examples/vsli/xqf131.tsp.top20.F2M_solution
  • file with optimal value : examples/vsli/xqf131.tsp.top20.F2M_report

The optimal solution for F2M is a set of edges with value 1 and a set of edges with value ½.

You can find a number of exapmles in the folders "examples/vsli/" and "examples/art/"