Iterated greedy algorithms for the maximal covering location problem

  • Authors:

  • Francisco J. Rodriguez;Christian Blum;Manuel Lozano;Carlos García-Martínez

  • Affiliations:

  • Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain;ALBCOM Research Group, Technical University of Catalonia, Barcelona, Spain;Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain;Department of Computing and Numerical Analysis, University of Córdoba, Córdoba, Spain

  • Venue:
  • EvoCOP'12 Proceedings of the 12th European conference on Evolutionary Computation in Combinatorial Optimization
  • Year:
  • 2012

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Abstract

The problem of allocating a set of facilities in order to maximise the sum of the demands of the covered clients is known as the maximal covering location problem. In this work we tackle this problem by means of iterated greedy algorithms. These algorithms iteratively refine a solution by partial destruction and reconstruction, using a greedy constructive procedure. Iterated greedy algorithms have been applied successfully to solve a considerable number of problems. With the aim of providing additional results and insights along this line of research, this paper proposes two new iterated greedy algorithms that incorporate two innovative components: a population of solutions optimised in parallel by the iterated greedy algorithm, and an improvement procedure that explores a large neighbourhood by means of an exact solver. The benefits of the proposal in comparison to a recently proposed decomposition heuristic and a standalone exact solver are experimentally shown.