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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

The facility location problem is an NP-hard optimization problem. Therefore, approximation algorithms are often used to solve large instances. Such algorithms often perform much better than worst-case analysis suggests. Therefore,…

Data Structures and Algorithms · Computer Science 2019-03-29 Stefan Klootwijk , Bodo Manthey

Facility location games have been a topic of major interest in economics, operations research and computer science, starting from the seminal work by Hotelling. In the classical pure location Hotelling game businesses compete for maximizing…

Computer Science and Game Theory · Computer Science 2018-08-08 Omer Ben-Porat , Moshe Tennenholtz

Metaheuristics are known to be strong in solving large-scale instances of computationally hard problems. However, their efficiency still needs exploration in the context of instance structure, scale and numerical properties for many of…

Computational Engineering, Finance, and Science · Computer Science 2018-01-11 David Chalupa , Peter Nielsen

In this paper, we introduce and study the Facility Location Problem with Aleatory Agents (FLPAA), where the facility accommodates n agents larger than the number of agents reporting their preferences, namely n_r. The spare capacity is used…

Computer Science and Game Theory · Computer Science 2024-09-30 Gennaro Auricchio , Jie Zhang

We study the competitive facility location problem, where a firm aims to establish new facilities in a market already occupied by competitors. In this problem, customer behavior is crucial for making optimal location decisions. We explore a…

Optimization and Control · Mathematics 2024-08-07 Ba Luat Le , Tien Mai , Thuy Anh Ta , Minh Hoang Ha , Duc Minh Vu

This paper studies the problem of minimizing group-level inequity in facility location games on the real line, where agents belong to different groups and may act strategically. We explore a fairness-oriented objective that minimizes the…

Computer Science and Game Theory · Computer Science 2026-02-03 Yuhang Guo , Houyu Zhou

In the paper a model problem for the location of a given number $N$ of points in a given region $\Omega$ and with a given resources density $\rho(x)$ is considered. The main difference between the usual location problems and the present one…

Optimization and Control · Mathematics 2013-06-26 Giuseppe Buttazzo , Serena Guarino Lo Bianco , Fabrizio Oliviero

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

This paper deals with a bilevel approach of the location-allocation problem with dimensional facilities. We present a general model that allows us to consider very general shapes of domains for the dimensional facilities and we prove the…

Optimization and Control · Mathematics 2018-06-27 Lina Mallozzi , Justo Puerto , Moisés Rodríguez-Madrena

This paper addresses the problem of collaboratively satisfying long-term spatial constraints in multi-agent systems. Each agent is subject to spatial constraints, expressed as inequalities, which may depend on the positions of other agents…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Farhad Mehdifar , Mani H. Dhullipalla , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

Obvious strategyproofness (OSP) is an appealing concept as it allows to maintain incentive compatibility even in the presence of agents that are not fully rational, e.g., those who struggle with contingent reasoning [Li, 2015]. However, it…

Computer Science and Game Theory · Computer Science 2017-02-21 Diodato Ferraioli , Carmine Ventre

We study Nash equilibria in strategic facility location games where clients are located in an arbitrary metric space. Specifically, there are $n$ clients, and the goal is to choose a facility from a set of given locations, so that the total…

Computer Science and Game Theory · Computer Science 2026-04-21 Yue Gruszecki , Elliot Anshelevich

Many scenarios where agents with restrictions compete for resources can be cast as maximum matching problems on bipartite graphs. Our focus is on resource allocation problems where agents may have restrictions that make them incompatible…

Artificial Intelligence · Computer Science 2022-09-13 Yohai Trabelsi , Abhijin Adiga , Sarit Kraus , S. S. Ravi

Placement is crucial in the physical design, as it greatly affects power, performance, and area metrics. Recent advancements in analytical methods, such as DREAMPlace, have demonstrated impressive performance in global placement. However,…

Machine Learning · Computer Science 2024-02-29 Ke Xue , Xi Lin , Yunqi Shi , Shixiong Kai , Siyuan Xu , Chao Qian

We focus on a simple, one-dimensional collective decision problem (often referred to as the facility location problem) and explore issues of strategyproofness and proportionality-based fairness. We introduce and analyze a hierarchy of…

Computer Science and Game Theory · Computer Science 2023-11-29 Haris Aziz , Alexander Lam , Barton E. Lee , Toby Walsh

In the last years we have witnessed the appearance of a variety of strategies to design optimal location privacy-preserving mechanisms, in terms of maximizing the adversary's expected error with respect to the users' whereabouts. In this…

Cryptography and Security · Computer Science 2017-08-25 Simon Oya , Carmela Troncoso , Fernando Pérez-González

Our work is devoted to the metric facility location problem and addresses the selfish behavior of the players. It contributes to the line of work initiated by Procaccia and Tennenholtz [EC09] on approximate mechanism design without money.…

Computer Science and Game Theory · Computer Science 2012-02-10 Nick Gravin , Dominik Scheder

We consider a facility location problem, where the objective is to ``disperse'' a number of facilities, i.e., select a given number k of locations from a discrete set of n candidates, such that the average distance between selected…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Henk Meijer

Motivated by group-project distribution, we introduce and study stable matching under the constraint of applicants needing to share a location to be matched with the same institute, which we call the Location-Restricted Stable Matching…

Data Structures and Algorithms · Computer Science 2025-08-05 Garret Castro