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Hub location problems are central to optimizing logistics, telecommunications, and transportation networks by consolidating flows through strategically placed hubs. While existing models assume symmetric allocation, where hubs handle…

Optimization and Control · Mathematics 2026-04-14 I. Espejo , M. Landete , M. Leal , A. Marín

In the Multiple Allocation $k$-Hub Center (MA$k$HC), we are given a connected edge-weighted graph $G$, sets of clients $\mathcal{C}$ and hub locations $\mathcal{H}$, where ${V(G) = \mathcal{C} \cup \mathcal{H}}$, a set of demands…

Data Structures and Algorithms · Computer Science 2022-05-27 Marcelo P. L. Benedito , Lucas P. Melo , Lehilton L. C. Pedrosa

The Capacitated Location Routing Problem is an important planning and routing problem in logistics, which generalizes the capacitated vehicle routing problem and the uncapacitated facility location problem. In this problem, we are given a…

Data Structures and Algorithms · Computer Science 2025-03-18 Jingyang Zhao , Mingyu Xiao , Shunwang Wang

Location Routing is a fundamental planning problem in logistics, in which strategic location decisions on the placement of facilities (depots, distribution centers, warehouses etc.) are taken based on accurate estimates of operational…

Discrete Mathematics · Computer Science 2021-08-06 Felipe Carrasco Heine , Antonia Demleitner , Jannik Matuschke

We consider a single allocation hub-and-spoke network design problem which allocates each non-hub node to exactly one of given hub nodes so as to minimize the total transportation cost. This paper deals with a case in which the hubs are…

Data Structures and Algorithms · Computer Science 2021-06-03 Yuko Kuroki , Tomomi Matsui

Motivated by emerging urban applications in commercial, public sector, and humanitarian logistics, we revisit continuous $p$-hub location problems in which several facilities must be located in a continuous space such that the expected…

Optimization and Control · Mathematics 2025-01-16 Yifan Wu , Joseph Geunes , Xiaofeng Nie

The Single Allocation Ordered Median Hub Location problem is a recent hub model introduced in Puerto et al. (2011) that provides a unifying analysis of a wide class of hub location mod- els. In this paper, we deal with the capacitated…

Optimization and Control · Mathematics 2015-03-17 J. Puerto , A. B. Ramos , A. M. Rodriguez-Chia , M. C. Sanchez-Gil

Transportation networks frequently employ hub-and-spoke network architectures to route flows between many origin and destination pairs. Hub facilities work as switching points for flows in large networks. In this study, we deal with a…

Discrete Mathematics · Computer Science 2018-03-19 Yuko Kuroki , Tomomi Matsui

In this paper, a non-linear p-robust hub location problem is extended to a risky environment where augmented chance constraint with a min-max regret form is employed to consider network risk as one of the objectives. The model considers…

Optimization and Control · Mathematics 2017-02-02 Saeid Abbasi Parizi , Mahdi Bashiri , Andrew Eberhard

Facility location problems (FLPs) are a family of optimisation problems with significant social impact. This class of problems has been the subject of study since the 1960s, with classical approaches including the Weber problem and the…

Optimization and Control · Mathematics 2026-02-26 Sergio Salazar , Abraham Duarte , Mauricio G. C. Resende , J. Manuel Colmenar

This paper discusses the fixed-hub single allocation problem (FHSAP). In this problem, a network consists of hub nodes and terminal nodes. Hubs are fixed and fully connected; each terminal node is connected to a single hub which routes all…

Data Structures and Algorithms · Computer Science 2014-02-19 Dongdong Ge , Zizhuo Wang , Lai Wei , Jiawei Zhang

A reliable, accurate, and affordable positioning service is highly required in wireless networks. In this paper, the novel Message Passing Hybrid Localization (MPHL) algorithm is proposed to solve the problem of cooperative distributed…

Information Theory · Computer Science 2024-10-30 Hassan Naseri , Visa Koivunen

The Uncapacitated Facility Location (UFL) problem is one of the most fundamental clustering problems: Given a set of clients $C$ and a set of facilities $F$ in a metric space $(C \cup F, dist)$ with facility costs $open : F \to…

Data Structures and Algorithms · Computer Science 2026-01-29 Vincent Cohen-Addad , Fabrizio Grandoni , Euiwoong Lee , Chris Schwiegelshohn

We study a general class of quadratic capacitated $p$-location problems facility location problems with single assignment where a non-separable, non-convex, quadratic term is introduced in the objective function to account for the…

Optimization and Control · Mathematics 2021-07-22 C. A. Zetina , I. Contreras , S. Jayaswal

The Multiple-Depot Split Delivery Vehicle Routing Problem (MD-SDVRP) is a challenging problem with broad applications in logistics. The goal is to serve customers' demand using a fleet of capacitated vehicles located in multiple depots,…

Data Structures and Algorithms · Computer Science 2026-01-06 Jingyang Zhao , Yonghang Su , Mingyu Xiao

Mobile parcel lockers have been recently proposed by logistics operators as a technology that could help reduce traffic congestion and operational costs in urban freight distribution. Given their ability to relocate throughout their area of…

Artificial Intelligence · Computer Science 2024-12-25 Yubin Liu , Qiming Ye , Jose Escribano-Macias , Yuxiang Feng , Eduardo Candela , Panagiotis Angeloudis

Modern platforms are using accelerators in conjunction with standard processing units in order to reduce the running time of specific operations, such as matrix operations, and improve their performance. Scheduling on such hybrid platforms…

Data Structures and Algorithms · Computer Science 2020-02-11 Vincent Fagnon , Imed Kacem , Giorgio Lucarelli , Bertrand Simon

We study the problem of optimal location querying for location based services in road networks, which aims to find locations for new servers or facilities. The existing optimal solutions on this problem consider only the cases with one new…

Databases · Computer Science 2016-06-15 Ruifeng Liu , Ada WaiChee Fu , Zitong Chen , Silu Huang , Yubao Liu

We obtain a 1.5-approximation algorithm for the metric uncapacitated facility location problem (UFL), which improves on the previously best known 1.52-approximation algorithm by Mahdian, Ye and Zhang. Note, that the approximability lower…

Data Structures and Algorithms · Computer Science 2009-02-04 Jaroslaw Byrka , Karen Aardal

In the $k$-median problem, given a set of locations, the goal is to select a subset of at most $k$ centers so as to minimize the total cost of connecting each location to its nearest center. We study the uniform hard capacitated version of…

Data Structures and Algorithms · Computer Science 2014-06-18 Shanfei Li
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