As some of you may already be aware, I've been working on and off for the past couple months to develop a heuristic for solving the travelling salesman problem. The point of the TSP is to find the optimal Hamiltonian circuit in a Graph. A couple days ago, I finished my implementation (after finally getting some time to actually code the thing) and it finds a Hamiltonian cycle! For the graph pictured here, it actually finds the solution to the TSP! Do I have more testing to do with different Graphs? Absolutely.
Currently, I'm working on implementing the HeldKarp algorithm, which is the current best solution, having a time complexity of O(n^2 * 2^n) and finding a Hamiltonian circuit that is 99.5% optimal. Once I get that going, I will have a point of comparison. For small graphs, I can solve the TSP by hand. As they grow in size though, having a HeldKarp implementation will be a nice control.
Be warned a tutorial introducing Hamiltonian circuits to follow!
Currently, I'm working on implementing the HeldKarp algorithm, which is the current best solution, having a time complexity of O(n^2 * 2^n) and finding a Hamiltonian circuit that is 99.5% optimal. Once I get that going, I will have a point of comparison. For small graphs, I can solve the TSP by hand. As they grow in size though, having a HeldKarp implementation will be a nice control.
Be warned a tutorial introducing Hamiltonian circuits to follow!
7 Comments On This Entry
Page 1 of 1
AdamSpeight2008
21 May 2011  01:31 PM
Would you consider writing an Extension Method for the GrapheNet Library? Even though though a large chunk of the codebase is written using Nemerle, and extension could in any .net language.
Page 1 of 1
← August 2015 →
S  M  T  W  T  F  S 

1  
2  3  4  5  6  7  8 
9  10  11  12  13  14  15 
16  17  18  19  20  21  22 
23  24  25  26  27  28  29 
30  31 
My Blog Links
Recent Entries
Recent Comments
Search My Blog
0 user(s) viewing
0 Guests
0 member(s)
0 anonymous member(s)
0 member(s)
0 anonymous member(s)
