Solving the Homogeneous Probabilistic Traveling Salesman Problem by the ACO Metaheuristic

  • Authors:
  • Leonora Bianchi;Luca Maria Gambardella;Marco Dorigo

  • Affiliations:
  • -;-;-

  • Venue:
  • ANTS '02 Proceedings of the Third International Workshop on Ant Algorithms
  • Year:
  • 2002

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Abstract

The Probabilistic Traveling Salesman Problem (PTSP) is a TSP problem in which each customer has a given probability of requiring a visit. The goal is to find an a priori tour of minimal expected length over all customers, with the strategy of visiting a random subset of customers in the same order as they appear in the a priori tour.We propose an ant based a priori tour construction heuristic, the probabilistic Ant Colony System (pACS), which is derived from ACS, a similar heuristic previously designed for the TSP problem. We show that pACS finds better solutions than other tour construction heuristics for a wide range of homogeneous customer probabilities. We also show that for high customers probabilities ACS solutions are better than pACS solutions.