Locating a single facility and a high-speed line

J. M. Díaz-Báñez, M. Korman, P. Pérez-Lantero, I. Ventura

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this paper we study a facility location problem in the plane in which a single point (facility) and a rapid transit line (highway) are simultaneously located in order to minimize the total travel time from the clients to the facility, using the L1 or Manhattan metric. The rapid transit line is given by a segment with any length and orientation, and is an alternative transportation line that can be used by the clients to reduce their travel time to the facility. We study the variant of the problem in which clients can enter and exit the highway at any point. We provide an O(n3)-time algorithm that solves this variant, where n is the number of clients. We also present a detailed characterization of the solutions, which depends on the speed given along the highway.

Original languageEnglish
Pages (from-to)69-77
Number of pages9
JournalEuropean Journal of Operational Research
Issue number1
Publication statusPublished - 2014 Jul 1
Externally publishedYes


  • Facility location
  • Geometric optimization
  • Highway location
  • Time distance
  • Transportation

ASJC Scopus subject areas

  • Computer Science(all)
  • Modelling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management


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