== Probabilistic Traveling Salesman Problem ==

=== Description ===

The Probabilistic Traveling Salesman Problem (PTSP) models situations in a delivery context where a set of customers have to be visited on a regular basis (e.g. daily), but all customers do not always require a visit (they have \probabilities" of being visited). In general, every day only a subset of customers requires a visit, and this subset is only known the same day as the required deliveries so re-optimizing vehicle routes from scratch every day is unfeasible. In this situation, the delivery man would follow a standard route skipping the customers that do not require a visit on that day. Therefore, the goal is to find a standard route of least expected length.

Based on the way the solutions are evaluated, we can distinguish between an analytical PTSP and a estimated PTSP. Currently, one the second one is fully functional in HeuristicLab.

'''Problem Parameters:'''
||= Parameter         =||= Description =||
|| !BestKnownQuality   || The quality of the best known solution of this PTSP instance. ||
|| !BestKnownSolution  || The best known solution of this PTSP instance. ||
|| Coordinates         || The x- and y-Coordinates of the cities. || 
|| !DistanceMatrix      || The matrix which contains the distances between the cities. || 
|| Evaluator           || The operator which should be used to evaluate PTSP solutions. ||
|| ProbablityMatrix    || The matrix which contains the probabilities of the cities. ||
|| Realizations        || The list which contains the realizations of the Monte Carlo sampling. ||
|| RealizationsSize    || The integer which represents the number of realizations to use. ||
|| !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. ||

=== HeuristicLab Results ===

=== References ===