tsp_greedy, a MATLAB program which applies a simple greedy algorithm to construct a solution to the traveling salesman problem.
The user must prepare a file beforehand, containing the city-to-city distances. The program will request the name of this file, and then read it in as a matrix d. An example of such a file is:
0 3 4 2 7 3 0 4 6 3 4 4 0 5 8 2 6 5 0 6 7 3 8 6 0The distance file d should be square, symmetric, and have a zero diagonal.
A tour of n cities can be represented as a permutation p on the integers 1 through n. The cost of the tour, that is, the length, is the sum
cost = sum ( 1 <= i <= n ) ( d(p(i),p(i+1)) )where p(n+1) is understood to mean p(1).
The greedy algorithm starts at one of the cities, and then successively moves to the nearest unvisited city, producing a tour. The tour may depend on the starting city, and so all n cities are tried. At the end, the shortest observed tour is reported.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
tsp_greedy is available in a MATLAB version.
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