Multicriteria Location-Routing Problems with Sectorization

  • Alberto Martinho
  • Eduardo Alves
  • Ana Maria Rodrigues
  • José Soeiro Ferreira
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 223)


Logistic decisions involving the location of facilities in connection with vehicle routing appear in many contexts and applications. Given a set of potential distribution centers (DC) and a group of clients, the choice of which DC to open together with the design of a number of vehicle routes, satisfying clients’ demand, may define Location-Routing Problems (LRP). This paper contributes with a new method, the 4-Phase Method (4-PhM), to deal with Capacitated LRP. Relevant advantages of 4-PhM are its generality, the possibilities of handling Multiple-Criteria and of facing large dimension problems. This last aptitude is a consequence of the sectorization phases, which permit a simplification of the solution space. Sectors are constructed by two Simulated Annealing based procedures, and they follow SectorEl, a sectorization approach inspired by electrostatics. In the last phase, the results obtained are evaluated using multicriteria analysis. Here, decision makers play an important role by reflecting preferences in a pairwise comparison matrix of the Analytic Hierarchy Process. Computational results, based on randomly generated instances, confirm the expectations about 4-PhM and its potentiality to deal with LRP.


Location-routing problems Sectorization Multiple-criteria Electrostatics Simulated annealing 



This work is financed by the ERDF − European Regional Development Fund through the Operational Programme for Competitiveness and Internationalisation - COMPETE 2020 Programme within project “POCI-01-0145-FEDER-006961”, and by National Funds through the FCT − Fundao para a Cincia e a Tecnologia (Portuguese Foundation for Science and Technology) as part of project UID/EEA/50014/2013.


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Alberto Martinho
    • 1
  • Eduardo Alves
    • 1
  • Ana Maria Rodrigues
    • 2
  • José Soeiro Ferreira
    • 3
  1. 1.INESC TEC - Technology and SciencePortoPortugal
  2. 2.CEOS.PP - Centre for Organisational and Social Studies of P.PortoPolytechnic of PortoS.Mamede de InfestaPortugal
  3. 3.Faculty of Engineering and INESC TEC - Technology and ScienceUniversity of PortoPortoPortugal

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