Travelling Salesman Problem - Computing A Solution

Computing A Solution

The traditional lines of attack for the NP-hard problems are the following:

  • Devising algorithms for finding exact solutions (they will work reasonably fast only for small problem sizes).
  • Devising "suboptimal" or heuristic algorithms, i.e., algorithms that deliver either seemingly or probably good solutions, but which could not be proved to be optimal.
  • Finding special cases for the problem ("subproblems") for which either better or exact heuristics are possible.

Read more about this topic:  Travelling Salesman Problem

Famous quotes containing the word solution:

    The truth of the thoughts that are here set forth seems to me unassailable and definitive. I therefore believe myself to have found, on all essential points, the final solution of the problems. And if I am not mistaken in this belief, then the second thing in which the value of this work consists is that it shows how little is achieved when these problems are solved.
    Ludwig Wittgenstein (1889–1951)