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Hierarchical Facility Location Problems

In: Location Science

Author

Listed:
  • Ivan Contreras

    (Logistics and Transportation (CIRRELT), Concordia University and Interuniversity Research Centre on Enterprise Networks)

  • Camilo Ortiz-Astorquiza

    (Pontificia Universidad Javeriana, Departamento de Matemáticas)

Abstract

Hierarchical facility location problems (HFLPs) are an important class of problems arising in numerous contexts such as in the design of health care, telecommunications and transportation systems. HFLPs deal with the location of interacting facilities at different levels of a hierarchical system. This chapter describes the distinguishing features and main areas of application of HFLPs and provides a comprehensive classification scheme based on several attributes. It also presents a concise overview of four classes of HFLPs that have received the most attention in the literature: multi-level facility location, median and covering hierarchical facility location, multi-echelon location-routing problems, and hierarchical hub location problems. For these classes of HFLPs, we highlight their main characteristics and point out to some of the integer programming formulations and efficient algorithms that have been developed.

Suggested Citation

  • Ivan Contreras & Camilo Ortiz-Astorquiza, 2019. "Hierarchical Facility Location Problems," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 2, chapter 0, pages 365-389, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-32177-2_13
    DOI: 10.1007/978-3-030-32177-2_13
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