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We study LP-rounding approximation algorithms for metric uncapacitated facility-location problems. We first give a new analysis for the algorithm of Chudak and Shmoys, which differs from the analysis of Byrka and Aardal in that now we do…

Data Structures and Algorithms · Computer Science 2012-03-09 Jaroslaw Byrka , MohammadReza Ghodsi , Aravind Srinivasan

The $k$-Facility Location problem is a generalization of the classical problems $k$-Median and Facility Location. The goal is to select a subset of at most $k$ facilities that minimizes the total cost of opened facilities and established…

Data Structures and Algorithms · Computer Science 2017-04-25 Jarosław Byrka , Krzysztof Fleszar , Bartosz Rybicki , Joachim Spoerhase

The facility location problems (FLPs) are a typical class of NP-hard combinatorial optimization problems, which are widely seen in the supply chain and logistics. Many mathematical and heuristic algorithms have been developed for optimizing…

Machine Learning · Computer Science 2022-10-28 Shiqing Liu , Xueming Yan , Yaochu Jin

Mobile parcel lockers (MPLs) have been recently introduced by urban logistics operators as a means to reduce traffic congestion and operational cost. Their capability to relocate their position during the day has the potential to improve…

Machine Learning · Computer Science 2024-12-25 Yubin Liu , Qiming Ye , Yuxiang Feng , Jose Escribano-Macias , Panagiotis Angeloudis

As a promising implementation model of payment channel network (PCN), payment channel hub (PCH) could achieve high throughput by providing stable off-chain transactions through powerful hubs. However, existing PCH schemes assume hubs…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-01 Lingxiao Yang , Xuewen Dong , Sheng Gao , Qiang Qu , Xiaodong Zhang , Wensheng Tian , Yulong Shen

In this paper we propose an extension of the Uncapacitated Hub Location Problem where the potential positions of the hubs are not fixed in advance. Instead, they are allowed to belong to a region around an initial discrete set of nodes. We…

Optimization and Control · Mathematics 2020-01-31 Víctor Blanco , Justo Puerto

This paper explores a GIS-based application of the conditional p-median problem (where p = 1) in last-mile delivery logistics. The rapid growth of e-commerce in Pakistan has primarily benefited logistics companies, which face the challenge…

Other Computer Science · Computer Science 2024-11-12 Faizan Faisal , Zubair Khalid

Given facilities with capacities and clients with penalties and demands, the transportation problem with market choice consists in finding the minimum-cost way to partition the clients into unserved clients, paying the penalties, and into…

Data Structures and Algorithms · Computer Science 2016-08-23 Karen Aardal , Pierre Le Bodic

We consider here the MultiBot problem for the scheduling and the resource parametrization of jobs related to the production or the transportation of different products inside a given time horizon. Those jobs must meet known in advance…

Data Structures and Algorithms · Computer Science 2024-01-02 Pierre Bergé , Mari Chaikovskaia , Jean-Philippe Gayon , Alain Quilliot

We present a randomized distributed approximation algorithm for the metric uncapacitated facility location problem. The algorithm is executed on a bipartite graph in the Congest model yielding a (1.861 + epsilon) approximation factor, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-09 Patrick Briest , Bastian Degener , Barbara Kempkes , Peter Kling , Peter Pietrzyk

Last-mile delivery in the logistics chain contributes to emissions and increased congestion. Crowd-shipping is a sustainable and low-cost alternative to traditional delivery, but relies heavily on the availability of occasional couriers. In…

Optimization and Control · Mathematics 2023-07-04 Patrick Stokkink , Nikolas Geroliminis

We consider a natural extension to the metric uncapacitated Facility Location Problem (FLP) in which requests ask for different commodities out of a finite set $S$ of commodities. Ravi and Sinha (SODA'04) introduced the model as the…

Data Structures and Algorithms · Computer Science 2020-05-20 Jannik Castenow , Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

Unmanned Aerial Vehicle Base Stations (UAVBSs) are envisioned to be an integral component of the next generation Wireless Communications Networks (WCNs) by dynamically moving the supply towards the demand. A significant drawback of the…

Networking and Internet Architecture · Computer Science 2020-08-27 Cihan Tugrul Cicek , Hakan Gultekin , Bulent Tavli , Halim Yanikomeroglu

We study the complexity of approximating the multimarginal optimal transport (MOT) distance, a generalization of the classical optimal transport distance, considered here between $m$ discrete probability distributions supported each on $n$…

Machine Learning · Statistics 2022-02-23 Tianyi Lin , Nhat Ho , Marco Cuturi , Michael I. Jordan

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal

The soft capacitated facility location problem (SCFLP) is a classic combinatorial optimization problem, with its variants widely applied in the fields of operations research and computer science. In the SCFLP, given a set $\mathcal{F}$ of…

Data Structures and Algorithms · Computer Science 2025-02-18 Hanyin Xiao , Jiaming Zhang , Zhikang Zhang , Weidong Li

Motivated by scheduling in Geo-distributed data analysis, we propose a target location problem for multi-commodity flow (LoMuF for short). Given commodities to be sent from their resources, LoMuF aims at locating their targets so that the…

Data Structures and Algorithms · Computer Science 2020-05-25 Xingwu Liu , Zhida Pan , Yuyi Wang

We introduce a new formulation for the multiple allocation hub location problem that exploits supermodular properties and uses 1- and 2-index variables only. We show that the new formulation produces the same Linear Programming bound as the…

Optimization and Control · Mathematics 2025-10-30 Elena Fernández , Nicolás Zerega

We study the Maximum Budgeted Allocation problem, which is the problem of assigning indivisible items to players with budget constraints. In its most general form, an instance of the MBA problem might include many different prices for the…

Data Structures and Algorithms · Computer Science 2015-12-01 Christos Kalaitzis

In this paper, we consider the multiple probabilistic covering location problem (MPCLP), which attempts to open a fixed number of facilities to maximize the total covered customer demand under a joint probabilistic coverage setting. We…

Optimization and Control · Mathematics 2025-11-24 Yan-Ru Wang , Wei-Kun Chen , Ivana Ljubić