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In a single facility location problem, a set of points is given and the goal is finding the optimal location of new facility respect to given criteria such as minimizing time, cost and distances between the clients and facilities. On the…

Optimization and Control · Mathematics 2023-03-01 Jafar Fathali

We consider issues of equity in stochastic facility location models for healthcare applications. We explore how uncertainty exacerbates inequity and examine several equity measures that can be used for stochastic healthcare location…

Applications · Statistics 2021-12-08 Karmel S. Shehadeh , Lawrence V. Snyder

Many allocation problems in multiagent systems rely on agents specifying cardinal preferences. However, allocation mechanisms can be sensitive to small perturbations in cardinal preferences, thus causing agents who make ``small" or…

Computer Science and Game Theory · Computer Science 2021-07-13 Vijay Menon , Kate Larson

In topology optimization of compliant mechanisms, the specific placement of boundary conditions strongly affects the resulting material distribution and performance of the design. At the same time, the most effective locations of the loads…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Lee R. Alacoque , Anurag Bhattacharyya , Kai A. James

We study the selection of agents based on mutual nominations, a theoretical problem with many applications from committee selection to AI alignment. As agents both select and are selected, they may be incentivized to misrepresent their true…

Computer Science and Game Theory · Computer Science 2025-10-23 Javier Cembrano , Felix Fischer , Max Klimm

This paper is devoted to the two-opposite-facility location games with a penalty whose amount depends on the distance between the two facilities to be opened by an authority. The two facilities are "opposite" in that one is popular and the…

Computer Science and Game Theory · Computer Science 2018-06-25 Xujin Chen , Xiaodong Hu , Xiaohua Jia , Minming Li , Zhongzheng Tang , Chenhao Wang

We consider a two-stage robust facility location problem on a metric under an uncertain demand. The decision-maker needs to decide on the (integral) units of supply for each facility in the first stage to satisfy an uncertain second-stage…

Optimization and Control · Mathematics 2020-11-11 Omar El Housni , Vineet Goyal , David Shmoys

This paper studies algorithmic fairness when the protected attribute is location. To handle protected attributes that are continuous, such as age or income, the standard approach is to discretize the domain into predefined groups, and…

Machine Learning · Computer Science 2023-02-27 Dimitris Sacharidis , Giorgos Giannopoulos , George Papastefanatos , Kostas Stefanidis

We consider the problem of locating a facility to serve a set of agents located along a line. The Nash welfare objective function, defined as the product of the agents' utilities, is known to provide a compromise between fairness and…

Computer Science and Game Theory · Computer Science 2023-10-09 Alexander Lam , Haris Aziz , Toby Walsh

Optimal sensor placement enhances the efficiency of a variety of applications for monitoring dynamical systems. It has been established that deterministic solutions to the sensor placement problem are insufficient due to the many…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Amin Jabini , Erik A. Johnson

We consider a problem where agents have private positions on a line, and public approval preferences over two facilities, and their cost is the maximum distance from their approved facilities. The goal is to decide the facility locations to…

Computer Science and Game Theory · Computer Science 2023-12-19 Mohammad Lotfi , Alexandros A. Voudouris

We study a non-cooperative two-sided facility location game in which facilities and clients behave strategically. This is in contrast to many other facility location games in which clients simply visit their closest facility. Facility…

Computer Science and Game Theory · Computer Science 2024-06-14 Simon Krogmann , Pascal Lenzner , Alexander Skopalik

Performance and reliability of content access in mobile networks is conditioned by the number and location of content replicas deployed at the network nodes. Facility location theory has been the traditional, centralized approach to study…

Networking and Internet Architecture · Computer Science 2009-09-11 Chi-Anh La , Pietro Michiardi , Claudio Casetti , Carla-Fabiana Chiasserini , Marco Fiore

Given the probability measure $\nu$ over the given region $\Omega\subset \R^n$, we consider the optimal location of a set $\Sigma$ composed by $n$ points $\Om$ in order to minimize the average distance $\Sigma\mapsto \int_\Om…

Optimization and Control · Mathematics 2017-11-16 A. Brancolini , G. Buttazzo , F. Santambrogio , E. Stepanov

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 the problem of design of strategyproof in expectation (SP) mechanisms for facility location on a cycle, with the objective of minimizing the sum of costs of $n$ agents. We show that there exists an SP mechanism that attains an…

Computer Science and Game Theory · Computer Science 2025-05-20 Krzysztof Rogowski , Marcin Dziubiński

Performance and reliability of content access in mobile networks is conditioned by the number and location of content replicas deployed at the network nodes. Location theory has been the traditional, centralized approach to study content…

Networking and Internet Architecture · Computer Science 2011-02-16 Chi-Anh La , Pietro Michiardi , Claudio Casetti , Carla-Fabiana Chiasserini , Marco Fiore

Next place prediction algorithms are invaluable tools, capable of increasing the efficiency of a wide variety of tasks, ranging from reducing the spreading of diseases to better resource management in areas such as urban planning. In this…

Physics and Society · Physics 2017-07-05 Edin Lind Ikanovic , Anders Mollgaard

We consider a discrete facility location problem with a new form of equity criterion. The model discussed in the paper analyzes the case where demand points only have strict preference order on the sites where the plants can be located. The…

Optimization and Control · Mathematics 2008-06-20 Inmaculada Espejo , Alfredo Marin , Justo Puerto , Antonio Rodriguez-Chia

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
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