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We study a location-routing problem in the context of capacitated vehicle routing. The input is a set of demand locations in a metric space and a fleet of k vehicles each of capacity Q. The objective is to locate k depots, one for each…

Data Structures and Algorithms · Computer Science 2011-03-08 Inge Li Goertz , Viswanath Nagarajan

In this paper we initiate the study of the heterogeneous capacitated $k$-center problem: given a metric space $X = (F \cup C, d)$, and a collection of capacities. The goal is to open each capacity at a unique facility location in $F$, and…

Data Structures and Algorithms · Computer Science 2016-11-23 Deeparnab Chakrabarty , Ravishankar Krishnaswamy , Amit Kumar

A massive use of electric vehicles is nowadays considered to be a key element of a sustainable transportation policy and the availability of charging stations is a crucial issue for their extensive use. Charging stations in an urban area…

Optimization and Control · Mathematics 2023-01-13 Carlo Filippi , Gianfranco Guastaroba , Lorenzo Peirano , M. Grazia Speranza

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

Facility location is a prominent optimization problem that has inspired a large quantity of both theoretical and practical studies in combinatorial optimization. Although the problem has been investigated under various settings reflecting…

Data Structures and Algorithms · Computer Science 2019-07-09 Kangsan Kim , Yongho Shin , Hyung-Chan An

We study the robust charging station location problem for a large-scale commercial taxi fleet. Vehicles within the fleet coordinate on charging operations but not on customer acquisition. We decide on a set of charging stations to open to…

Optimization and Control · Mathematics 2023-04-18 Gregor Godbersen , Rainer Kolisch , Maximilian Schiffer

In Facility Location problems there are agents that should be connected to facilities and locations where facilities may be opened so that agents can connect to them. We depart from Uncapacitated Facility Location and by assuming that the…

Computer Science and Game Theory · Computer Science 2025-11-14 Thanasis Lianeas , Marios Mertzanidis , Aikaterini Nikolidaki

An important feature of many real world facility location problems are capacity limits on the facilities. We show here how capacity constraints make it harder to design strategy proof mechanisms for facility location, but…

Artificial Intelligence · Computer Science 2020-09-18 Toby Walsh

The transition from conventional mobility to electromobility largely depends on charging infrastructure availability and optimal placement.This paper examines the optimal placement of charging stations in urban areas. We maximise the…

Machine Learning · Computer Science 2022-06-14 Leonie von Wahl , Nicolas Tempelmeier , Ashutosh Sao , Elena Demidova

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

In this note, we consider the capacitated facility location problem when the transportation costs of the instance satisfy the Monge property. We show that a straightforward dynamic program finds the optimal solution when the demands are…

Data Structures and Algorithms · Computer Science 2020-01-10 Alice Paul , David P. Williamson

In this paper, we investigate the Mechanism Design aspects of the $m$-Capacitated Facility Location Problem ($m$-CFLP) on a line. We focus on two frameworks. In the first framework, the number of facilities is arbitrary, all facilities have…

Computer Science and Game Theory · Computer Science 2024-04-23 Gennaro Auricchio , Zihe Wang , Jie Zhang

For accommodating more electric vehicles (EVs) to battle against fossil fuel emission, the problem of charging station placement is inevitable and could be costly if done improperly. Some researches consider a general setup, using…

Systems and Control · Computer Science 2018-08-30 Qiushi Cui , Yang Weng , Chin-Woo Tan

We consider the facility location problem in the one-dimensional setting where each facility can serve a limited number of agents from the algorithmic and mechanism design perspectives. From the algorithmic perspective, we prove that the…

Computer Science and Game Theory · Computer Science 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

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

The success of vehicle electrification relies on efficient and adaptable charging infrastructure. Fixed-location charging stations often suffer from underutilization or congestion due to fluctuating demand, while mobile chargers offer…

Artificial Intelligence · Computer Science 2025-08-12 Yanchen Zhu , Honghui Zou , Chufan Liu , Yuyu Luo , Yuankai Wu , Yuxuan Liang

The energy transition in transportation benefits from demand-based models to determine the optimal placement of refueling stations for alternative fuel vehicles such as battery electric trucks. A formulation known as the refueling station…

Optimization and Control · Mathematics 2023-10-10 Nicholas Nordlund , Leandros Tassiulas , Jan-Hendrik Lange

In this paper, we give first constant factor approximation for capacitated knapsack median problem (CKM) for hard uniform capacities, violating the budget only by an additive factor of $f_{max}$ where $f_{max}$ is the maximum cost of a…

Data Structures and Algorithms · Computer Science 2022-03-24 Sapna Grover , Neelima Gupta , Samir Khuller , Aditya Pancholi

Decarbonizing long-haul freight requires large-scale deployment of high-power charging infrastructure. This paper studies a multi-period charging station location problem that determines where and when to deploy charging capacity for…

Increasing the adoption of Electric Vehicles (EV) is an integral part of many strategies to address climate change and air pollution. However, Electric Vehicle adoption rates are inhibited by several factors which reduce the confidence of…

Optimization and Control · Mathematics 2023-06-21 Johnny Tiu , Shankar Ramharack , Patrick Hosein
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