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The Traveling Salesman Problem (TSP)
https://www2.seas.gwu.edu/~simhaweb/champalg/tsp/tsp.html
The Traveling Salesman Problem (TSP) is possibly the classic discrete optimization problem. A preview : How is the TSP problem defined? ... → What is the expected length of an optimal tour for uniformly-generated points in 2D? Several early analytic estimates in the 1940's.
Christofides algorithm - Wikipedia
https://en.wikipedia.org/wiki/Christofides_algorithm
The Christofides algorithm or Christofides–Serdyukov algorithm is an algorithm for finding approximate solutions to the travelling salesman problem, on instances where the distances form a metric space (they are symmetric and obey the triangle inequality). It is an approximation algorithm that guarantees that its solutions will be within a factor of 3/2 of the optimal solution length, and is ...
Solving the traveling salesman problem on a quantum ...
https://link.springer.com/article/10.1007/s42452-019-1829-x?shared-article-renderer
Dec 13, 2019 · The paper contains an analysis of four software programs that solve the symmetric traveling salesman problem on a quantum annealer. Three are designed to find approximate solutions. One is designed to find an optimal tour. These programs demonstrate that an application can run across both classical and quantum computing platforms and take advantage of what each can do best.
Algorithm::TravelingSalesman::BitonicTour - solve the ...
https://metacpan.org/pod/Algorithm::TravelingSalesman::BitonicTour
Sep 29, 2008 · We also see that a given optimal tour is used more than once in constructing longer tours. For example, T(1,4) is used in the construction of both T(1,5) and T(4,5). Optimal Substructure. As shown in the above analysis, constructing a given optimal tour depends on knowledge of shorter "included" optimal tours; suboptimal tours are irrelevant ...
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