tsp_brute


tsp_brute, a MATLAB code which is given a table of city locations, and solves small versions of the traveling salesman problem (TSP), using brute force.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

tsp_brute is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

tsp_brute_test

cities, a MATLAB code which handles various problems associated with a set of "cities" on a map.

closest_pair_brute, a MATLAB code which uses brute force to solve a 2D version of the closest pair problem, which identifies the closest pair of points in a given collection.

concorde, examples which call concorde(), which solves the traveling salesman problem (TSP), mixed integer programming, and related network optimization problems.

knapsack_01_brute, a MATLAB code which uses brute force to solve small versions of the 0/1 knapsack problem;

matrix_chain_brute, a MATLAB code which finds the cost of the most efficient ordering to use when multiplying a sequence of matrices, using brute force.

partition_brute, a MATLAB code which uses a brute force method to find solutions of the partition problem, in which a set of integers must be split into two subsets with equal sum.

satisfy_brute, a MATLAB code which uses brute force to find all assignments of values to a set of logical variables which make a complicated logical statement true.

subset_sum_backtrack, a MATLAB code which uses backtracking to solve the subset sum problem, to find a subset of a set of integers which has a given sum.

subset_sum_brute, a MATLAB code which uses brute force to solve the subset sum problem, to find a subset of a set of integers which has a given sum.

tsp, a dataset directory which contains test data for the traveling salesperson problem (TSP) including the AT&T 48 state capital test, and Dantzig's 42 city test;

tsp_anneal, a MATLAB code which is given a table of city locations, and solves the traveling salesperson problem (TSP) using simulated annealing.

tsp_att48, a MATLAB code which returns the (x,y) coordinates of the cities that constitute the AT&T 48 state challenge for the Traveling Salesman Problem (TSP).

tsp_dantzig42, a MATLAB code which returns the (x,y) coordinates of the cities that constitute the Dantzig 42 state challenge for the Traveling Salesman Problem (TSP). The minimal tour is known to have length 699.

tsp_display, a MATLAB code which displays the solution of a Traveling Salesman Problem (TSP).

tsp_moler, a MATLAB code which tries to optimize the traveling salesperson problem (TSP), written by Cleve Moler.

tsp_nearest, a MATLAB code which is given a table of city locations, and solves a small traveling salesperson problem (TSP) using the nearest neighbor algorithm. It picks a starting city at random, and then successively visits the nearest unvisited city.

tsp_random, a MATLAB code which is given a table of city locations, seeks a solution of the Traveling Salesperson Problem (TSP), by randomly generating round trips that visit every city, returning the tour of shortest length.

Reference:

  1. William Cook,
    In Pursuit of the Traveling Salesman,
    Princeton University Press, 2012,
    ISBN13 978-0-691-16352-9.
  2. Gerhard Reinelt,
    TSPLIB - A Traveling Salesman Problem Library,
    ORSA Journal on Computing,
    Volume 3, Number 4, Fall 1991, pages 376-384.

Source Code:


Last revised on 09 November 2018.