An electromagnetism metaheuristic for solving the Maximum Betweenness Problem

  • Authors:

  • Vladimir Filipović;Aleksandar Kartelj;Dragan Matić

  • Affiliations:

  • University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Belgrade, Serbia;University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Belgrade, Serbia;University of Banjaluka, Faculty of Mathematics and Natural Sciences, Mladena Stojanovića 2, 78000 Banjaluka, Bosnia and Herzegovina

  • Venue:
  • Applied Soft Computing
  • Year:
  • 2013

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Abstract

In this paper we present an electromagnetism (EM) metaheuristic for solving NP hard Maximum Betweenness Problem (MBP). A new encoding scheme with appropriate objective functions is implemented. Specific representation of the individuals enables the EM operators to explore the searching space in a way that achieves high quality solutions. An effective 1-swap based local search procedure improved by the specific caching technique is performed on each EM point. The algorithm is tested both on real and artificial instances from the literature. Experimental results show that the proposed EM approach achieves all previously known optimal solutions, except one, and achieves the best-known solutions or outperforms other approaches on all large-scale instances, except two. Provided statistical analysis indicates that the EM approach is significantly better than other approaches.