= Traveling Salesman Problem =
The traveling salesman problem (TSP) is certainly one of the classical as well as most frequently analyzed representatives of combinatorial optimization problems with a lot of solution methodologies and solution manipulation operators. The problem is that a person has to visit a number of cities starting from and returning to his home city. The goal is to find a tour where every city is visited exactly once and where the travel distances become minimal. 

'''Problem Parameters:'''
||= Parameter         =||= Description =||
|| !BestKnownQuality   || The quality of the best known solution of this TSP instance. ||
|| !BestKnownSolution  || The best known solution of this TSP instance. ||
|| Coordinates         || The x- and y-Coordinates of the cities. || 
|| !DistanceMatrix      || The matrix which contains the distances between the cities. || 
|| Evaluator           || [#Evaluator TSPRoundedEuclideanPathEvaluator]: The operator which should be used to evaluate TSP solutions. ||
|| Maximization        || Set to false as the Traveling Salesman Problem is a minimization problem. ||
|| !SolutionCreator    || !RandomPermutationCreator: The operator which should be used to create new TSP solutions. ||
|| !UseDistanceMatrix   || True if a distance matrix should be calculated and used for evaluation, otherwise false. ||


'''Is there a sample/tutorial?'''

Yes, HeuristicLab comes with a set of pre-configured algorithms that solve the "ch130" traveling salesman problem from the TSPLIB: 
 * [[UsersSamples#GATSP| Standard Genetic Algorithm + ch130]]
 * [[UsersSamples#IslandGA| Island Genetic Algroithm + ch130]]
 * [[UsersSamples#TSTSP| Tabu Search + ch130]]

[=#Evaluator]
== TPS Operators == 
=== TSPRoundedEuclideanPathEvaluator === 
An operator which evaluates TSP solutions given in path representation using the rounded Euclidean distance metric.

'''Operator Parameters:'''
||= Parameter         =||= Description =||
|| Coordinates         || The x- and y-Coordinates of the cities. || 
|| !DistanceMatrix      || The matrix which contains the distances between the cities. || 
|| TSPTour || The TSP solution given in path representation which should be evaluated.
|| TSPTourLength || The evaluated quality of the TSP solution. ||
|| !UseDistanceMatrix   || True if a distance matrix should be calculated and used for evaluation, otherwise false. ||