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We consider the problem of using location queries to monitor the congestion potential among a collection of entities moving, with bounded speed but otherwise unpredictably, in $d$-dimensional Euclidean space. Uncertainty in entity locations…

Computational Geometry · Computer Science 2023-05-09 William Evans , David Kirkpatrick

Capacitated fair-range $k$-clustering generalizes classical $k$-clustering by incorporating both capacity constraints and demographic fairness. In this setting, each facility has a capacity limit and may belong to one or more demographic…

Data Structures and Algorithms · Computer Science 2025-05-23 Ameet Gadekar , Suhas Thejaswi

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

Facility location problems are captivating both from theoretical and practical point of view. In this paper, we study some fundamental facility location problems from the space-efficient perspective. Here the input is considered to be given…

Data Structures and Algorithms · Computer Science 2014-09-22 Binay K. Bhattacharya , Minati De , Subhas C. Nandy , Sasanka Roy

We introduce in this paper a new variant of a location routing problem, to decide, the number and location of drop-off points to install based on the demands of a set of pick-up points, according to a given set-up budget for installing…

Optimization and Control · Mathematics 2025-05-09 Maria Albareda-Sambola , Víctor Blanco , Yolanda Hinojosa

The classic online facility location problem deals with finding the optimal set of facilities in an online fashion when demand requests arrive one at a time and facilities need to be opened to service these requests. In this work, we study…

Data Structures and Algorithms · Computer Science 2025-05-09 Arghya Chakraborty , Rahul Vaze

Wireless rechargeable sensor networks, consisting of sensor nodes with rechargeable batteries and mobile chargers to replenish their batteries, have gradually become a promising solution to the bottleneck of energy limitation that hinders…

Networking and Internet Architecture · Computer Science 2019-05-14 Xuan Li , Miao Jin

The rapid growth of electric vehicles (EVs) necessitates the strategic placement of charging stations to optimize resource utilization and minimize user inconvenience. Reinforcement learning (RL) offers an innovative approach to identifying…

Machine Learning · Computer Science 2025-11-04 Minh-Duc Nguyen , Dung D. Le , Phi Long Nguyen

In this paper, we present a framework to design approximation algorithms for capacitated facility location problems with penalties/outliers using LP-rounding. Primal-dual technique, which has been particularly successful in dealing with…

Data Structures and Algorithms · Computer Science 2021-08-19 Rajni Dabas , Neelima Gupta

The rise of electric vehicles (EVs) is unstoppable due to factors such as the decreasing cost of batteries and various policy decisions. These vehicles need to be charged and will therefore cause congestion in local distribution grids in…

Probability · Mathematics 2018-10-15 Angelos Aveklouris , Maria Vlasiou , Bert Zwart

We consider the anchor placement problem in localization based on one-way ranging, in which either the sensor or the anchors send the ranging signals. The number of anchors deployed over a geographical area is generally sparse, and we show…

Information Theory · Computer Science 2013-03-19 Sundeep Prabhakar Chepuri , Geert Leus , Alle-Jan van der Veen

The Capacitated Facility Location (CFL), a long-standing classic problem with intriguing approximability and literature dated back to the 90s, is considered. Following the open question posted in [Williamson and Shmoys, 2011] and the…

Data Structures and Algorithms · Computer Science 2022-03-29 Mong-Jen Kao

In this work, we address the problem of long-distance navigation for battery electric vehicles (BEVs), where one or more charging sessions are required to reach the intended destination. We consider the availability and performance of the…

Machine Learning · Computer Science 2023-01-19 Niklas Åkerblom , Morteza Haghir Chehreghani

We introduce and study the random "locked" constraint satisfaction problems. When increasing the density of constraints, they display a broad "clustered" phase in which the space of solutions is divided into many isolated points. While the…

Statistical Mechanics · Physics 2008-09-05 Lenka Zdeborová , Marc Mézard

In this paper, we propose a closed queueing network model for performance analysis of electric vehicle sharing systems with a certain number of chargers in each neighborhood. Depending on the demand distribution, we devise algorithms to…

Systems and Control · Electrical Eng. & Systems 2020-07-15 Yuntian Deng , Abhishek Gupta , Ness B. Shroff

The metric capacitated facility location is a well-studied problem for which, while constant factor approximations are known, no efficient relaxation with constant integrality gap is known. The question whether there is such a relaxation is…

Data Structures and Algorithms · Computer Science 2013-12-09 Stavros G. Kolliopoulos , Yannis Moysoglou

Optimal routing problems of electric vehicles (EVs) have attracted much attention in recent years, and installation of charging stations is an important issue for EVs. Hence, we focus on the joint optimization of the location of charging…

Quantum Physics · Physics 2025-06-06 Akihisa Okada , Keisuke Otaki , Hiroaki Yoshida

This study investigates how the location-routing decisions of the electric vehicle (EV) DCFC charging stations are impacted by the ambient temperature. We formulated this problem as a mixed-integer linear programming model that captures the…

Optimization and Control · Mathematics 2021-05-06 Amin Aghalari , Darweesh Salamah , Carlos Marino , Mohammad Marufuzzaman

In this paper, we study the hard uniform capacitated $k$- median problem using local search heuristic. Obtaining a constant factor approximation for the \ckm problem is open. All the existing solutions giving constant-factor approximation,…

Data Structures and Algorithms · Computer Science 2018-04-25 Neelima Gupta , Aditya Pancholi

This paper studies a stochastic congested location problem in the network of a service system that consists of facilities to be established in a finite number of candidate locations. Population zones allocated to each open service facility…

Optimization and Control · Mathematics 2018-09-05 Amir Ahmadi-Javid , Oded Berman , Pooya Hoseinpour
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