Beam-ACO for the travelling salesman problem with time windows

  • Authors:
  • Manuel López-Ibáñez;Christian Blum

  • Affiliations:
  • IRIDIA, CoDE, Université Libre de Bruxelles, Brussels, Belgium;ALBCOM Research Group, Universitat Politècnica de Catalunya, Barcelona, Spain

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2010

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Abstract

The travelling salesman problem with time windows is a difficult optimization problem that arises, for example, in logistics. This paper deals with the minimization of the travel-cost. For solving this problem, this paper proposes a Beam-ACO algorithm, which is a hybrid method combining ant colony optimization with beam search. In general, Beam-ACO algorithms heavily rely on accurate and computationally inexpensive bounding information for differentiating between partial solutions. This work uses stochastic sampling as a useful alternative. An extensive experimental evaluation on seven benchmark sets from the literature shows that the proposed Beam-ACO algorithm is currently a state-of-the-art technique for the travelling salesman problem with time windows when travel-cost optimization is concerned.