[HTML][HTML] Reviewing extensions and solution methods of the planar Weber single facility location problem

RL Church, Z Drezner, F Plastria, A Tamir - Computers & Operations …, 2025 - Elsevier
One of the classic foundational constructs of Location Science was proposed by Alfred
Weber in 1909. His construct involved finding the location for a single production facility …

[HTML][HTML] A branch-and-price approach for the continuous multifacility monotone ordered median problem

V Blanco, R Gázquez, D Ponce, J Puerto - European Journal of Operational …, 2023 - Elsevier
In this paper, we address the Continuous Multifacility Monotone Ordered Median Problem.
The goal of this problem is to locate p facilities in R d minimizing a monotone ordered …

Insights into Efficiency and Satisfaction Trade-offs in Facility Location Problems with Regional Preferences

V Blanco, R Gázquez, M Leal - arxiv preprint arxiv:2412.20074, 2024 - arxiv.org
This paper studies a practical regional demand continuous multifacility location problems
whose main goal is to locate a given number of services and entry points in each region to …

[HTML][HTML] Pasting gauges I: Shortest paths across a hyperplane

F Plastria - Discrete Applied Mathematics, 2019 - Elsevier
We study the largest quasimetric in R d no greater than one given gauge on one side of a
fixed hyperplane, and another gauge on the other side. We show that such a quasimetric is …

Shortest paths and location problems in a continuous framework with different -norms on different regions

M Labbé, J Puerto, M Rodríguez-Madrena - arxiv preprint arxiv …, 2021 - arxiv.org
In this paper we address two different related problems. We first study the problem of finding
a simple shortest path in a $ d $-dimensional real space subdivided in several polyhedra …

A branch-and-price approach for the continuous multifacility monotone ordered median problem

V Blanco Izquierdo, R Gázquez, D Ponce, J Puerto - 2022 - digibug.ugr.es
In this paper, we address the Continuous Multifacility Monotone Ordered Median Problem.
The goal of this problem is to locate facilities in minimizing a monotone ordered weighted …

Advances and applications in continuous location and related problems

R Gázquez Torres - 2022 - digibug.ugr.es
This thesis focuses on the family of the continuous location problems. A location problem
arises whenever a question of where to locate something is raised. This kind of problems …

Fixed gate point location problems

M Botte - Top, 2021 - Springer
Given a metric space with a set of given facilities, location theory asks to place a new facility
which minimizes the distances to the given ones. Many results for a variety of problems with …

[HTML][HTML] Planar multifacility location problems with tree structure and finite dominating sets

A Maier, T Ullmert, HW Hamacher - Discrete Optimization, 2019 - Elsevier
Multifacility location problems arise in many real world applications. Often, the facilities can
only be placed in feasible regions such as development or industrial areas. In this paper we …

[PDF][PDF] Location theory and some physical principles in a nutshell

J Puerto - NETWORK/TERRIT - arxiv.org
Location Theory is an appealing field of Operations Research that shares many links with
optimization. The most important problems in this area can be formulated as mathematical …