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We give a new randomized LP-rounding 1.725-approximation algorithm for the metric Fault-Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithm of Swamy & Shmoys. To the…

Data Structures and Algorithms · Computer Science 2015-05-18 Jaroslaw Byrka , Aravind Srinivasan , Chaitanya Swamy

Linear programming has played a key role in the study of algorithms for combinatorial optimization problems. In the field of approximation algorithms, this is well illustrated by the uncapacitated facility location problem. A variety of…

Data Structures and Algorithms · Computer Science 2014-09-16 Hyung-Chan An , Mohit Singh , Ola Svensson

We study Facility Location with Matching, a Facility Location problem where, given additional information about which pair of clients is compatible to be matched, we need to match as many clients as possible and assign each matched client…

Data Structures and Algorithms · Computer Science 2026-02-24 Fateme Abbasi , Martin Böhm , Jarosław Byrka , Matin Mohammadi , Yongho Shin

The p-median problem concerns the location of facilities so that the sum of distances between the demand points and their nearest facility is minimized. We study a variant of this classic location problem where minimum distance constraints…

Optimization and Control · Mathematics 2022-07-13 Nikolaos Ploskas , Kostas Stergiou

We build on an emerging line of work which studies strategic manipulations in training data provided to machine learning algorithms. Specifically, we focus on the ubiquitous task of linear regression. Prior work focused on the design of…

Computer Science and Game Theory · Computer Science 2020-07-16 Safwan Hossain , Nisarg Shah

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

We study Bayesian mechanism design problems in settings where agents have budgets. Specifically, an agent's utility for an outcome is given by his value for the outcome minus any payment he makes to the mechanism, as long as the payment is…

Computer Science and Game Theory · Computer Science 2015-03-19 Shuchi Chawla , David Malec , Azarakhsh Malekian

Catering to the incentives of people with limited rationality is a challenging research direction that requires novel paradigms to design mechanisms and approximation algorithms. Obviously strategyproof (OSP) mechanisms have recently…

Computer Science and Game Theory · Computer Science 2018-10-10 Diodato Ferraioli , Adrian Meier , Paolo Penna , Carmine Ventre

We study a principal-agent problem with adverse selection, where the principal does not know the agent's true cost but must design a contract to optimize a specific criterion. Unlike standard screening frameworks that allow for…

Theoretical Economics · Economics 2026-05-19 Guillermo Alonso Alvarez , Ibrahim Ekren , Liwei Huang

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 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

In this paper, we address the problem of capacitated facility location problem with penalties (CapFLPP) paid per unit of unserved demand. In case of uncapacitated FLP with penalties demands of a client are either entirely met or are…

Data Structures and Algorithms · Computer Science 2014-09-15 Neelima Gupta , Shubham Gupta

We consider a team of autonomous agents that navigate in an adversarial environment and aim to achieve a task by allocating their resources over a set of target locations. An adversary in the environment observes the autonomous team's…

Optimization and Control · Mathematics 2023-10-09 Shenghui Chen , Yagiz Savas , Mustafa O. Karabag , Brian M. Sadler , Ufuk Topcu

Motivated by real-world applications such as the allocation of public housing, we examine the problem of assigning a group of agents to vertices (e.g., spatial locations) of a network so that the diversity level is maximized. Specifically,…

Data Structures and Algorithms · Computer Science 2024-04-02 Zirou Qiu , Andrew Yuan , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

We introduce a novel family of mechanisms for constrained allocation problems which we call local priority mechanisms. These mechanisms are parameterized by a function which assigns a set of agents, the local compromisers, to every…

Theoretical Economics · Economics 2024-03-01 Joseph Root , David S. Ahn

This paper considers a distributed optimization problem over a multi-agent network, in which the objective function is a sum of individual cost functions at the agents. We focus on the case when communication between the agents is described…

Optimization and Control · Mathematics 2017-11-01 Chenguang Xi , Van Sy Mai , Ran Xin , Eyad H. Abed , Usman A. Khan

This paper investigates the social optimum for a dynamic linear quadratic collective choice problem where a group of agents choose among multiple alternatives or destinations. The agents' common objective is to minimize the average cost of…

Optimization and Control · Mathematics 2025-06-12 Noureddine Toumi , Roland Malhamé , Jérôme Le Ny

We develop a computationally efficient technique to solve a fairly general distributed service provision problem with selfish users and imperfect information. In particular, in a context in which the service capacity of the existing…

Computer Science and Game Theory · Computer Science 2013-09-17 F. Altarelli , A. Braunstein , C. F. Chiasserini , L. Dall'Asta , P. Giaccone , E. Leonardi , R. Zecchina

Classical clustering problems such as \emph{Facility Location} and \emph{$k$-Median} aim to efficiently serve a set of clients from a subset of facilities -- minimizing the total cost of facility openings and client assignments in Facility…

Data Structures and Algorithms · Computer Science 2025-08-05 Rajni Dabas , Samir Khuller , Emilie Rivkin

This paper addresses information-based sensing point selection from a set of possible sensing locations, which determines a set of measurement points maximizing the mutual information between the sensor measurements and the variables of…

Computer Science and Game Theory · Computer Science 2017-07-05 Su-Jin Lee , Young-Jin Park , Han-Lim Choi