tsp

Includes a variety of heuristic algorithms for solving the Travelling Salesperson Problem: nearest neighbor, 2-opt, simulated anneal, and a hybrid of 2-opt and simumlated anneal.

This program solves cases of the Euclidean TSP. In other words, these algorithms all operate on x and y coordinates that specify the locations of cities in a Euclidean plane. Distances between cities therefore satisfy the triangle inequality, making this a special case of the metric TSP.

Compilation:

make tsp

Usage:

Usage: ./tsp {-n|-t|-a} {-v|-d} {[-f filename] | [input data...]}
Algorithms:
 -Default: Nathan's Hybrid (honestly the best choice)
 -n: Nearest Neighbor (only)
 -t: Two-opt
 -a: Simulated Anneal
Display modes:
 -v: Verbose (minor progress messages)
 -d: Debug (lots of detailed messages)
Input/Output:
 -f: Specify file to use as input/source file
     Note: this will result in a output file named [input file].tour

Input/Output:

Note that input can be provided in a variety of ways:

1. From stdin (or via a file redirected through stdin)
2. From a file, as specified with the -f option

In the former case, results will be output directly to stdout. In the latter case, results will be output to a file named after the input file, but with a .tour extension: [input file].tour. However, in this latter case, additional information (such as can be triggered with the -v and -d options) will still be sent to stdout.

Input Format:

Input, whether from stdin or a file, must adhere to the following 3-column format, in which each city is given a unique id number (starting with 0), an x-coordinate, and a y-coordinate:

id x-coordinate y-coordinate

For example, a valid input file might look like the following:

0 779 765
1 717 102
2 628 770
3 555 155
4 146 939
5 967 993
6 113 188
7 51 762
8 367 234
9 971 813
10 12 378

Output Format:

Output, whether to stdout or to a file, will have the following format:

total tour length
1st stop in tour
2nd stop in tour
3rd stop in tour
etc...

A valid solution for the example input given above might therefore look like:

3327
0
5
9
1
3
8
6
10
7
4
2