Journal of Heuristics

, Volume 13, Issue 1, pp 49–76

Metaheuristics for the team orienteering problem

  • Claudia Archetti
  • Alain Hertz
  • Maria Grazia Speranza
Article

DOI: 10.1007/s10732-006-9004-0

Cite this article as:
Archetti, C., Hertz, A. & Speranza, M.G. J Heuristics (2007) 13: 49. doi:10.1007/s10732-006-9004-0

Abstract

The Team Orienteering Problem (TOP) is the generalization to the case of multiple tours of the Orienteering Problem, known also as Selective Traveling Salesman Problem. A set of potential customers is available and a profit is collected from the visit to each customer. A fleet of vehicles is available to visit the customers, within a given time limit. The profit of a customer can be collected by one vehicle at most. The objective is to identify the customers which maximize the total collected profit while satisfying the given time limit for each vehicle. We propose two variants of a generalized tabu search algorithm and a variable neighborhood search algorithm for the solution of the TOP and show that each of these algorithms beats the already known heuristics. Computational experiments are made on standard instances.

Keywords

Team orienteering problem Selective traveling salesman problem Tabu search heuristic Variable neighborhood search heuristic 

Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  • Claudia Archetti
    • 1
  • Alain Hertz
    • 2
  • Maria Grazia Speranza
    • 1
  1. 1.Department of Quantitative MethodsUniversity of BresciaBresciaItaly
  2. 2.École Polytechnique and GERADMontréalCanada