Characterization of the probabilistic traveling salesman problem.

@article{Bowler2003CharacterizationOT,
  title={Characterization of the probabilistic traveling salesman problem.},
  author={Neill Bowler and Thomas M. A. Fink and Robin C. Ball},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={68 3 Pt 2},
  pages={
          036703
        }
}
  • Neill Bowler, Thomas M. A. Fink, Robin C. Ball
  • Published in
    Physical review. E…
    2003
  • Medicine, Mathematics, Physics
  • We show that stochastic annealing can be successfully applied to gain new results on the probabilistic traveling salesman problem. The probabilistic "traveling salesman" must decide on an a priori order in which to visit n cities (randomly distributed over a unit square) before learning that some cities can be omitted. We find the optimized average length of the pruned tour follows E(L(pruned))=sqrt[np](0.872-0.105p)f(np), where p is the probability of a city needing to be visited, and f(np… CONTINUE READING

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