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We study deterministic mechanisms for the two-facility location problem. Given the reported locations of n agents on the real line, such a mechanism specifies where to build the two facilities. The single-facility variant of this problem…

计算机科学与博弈论 · 计算机科学 2025-08-15 Elijah Journey Fullerton , Zeyuan Hu , C. Gregory Plaxton

We study a truthful facility location problem where one out of $k\geq2$ available facilities must be built at a location chosen from a set of candidate ones in the interval $[0,1]$. This decision aims to accommodate a set of agents with…

计算机科学与博弈论 · 计算机科学 2025-05-07 Panagiotis Kanellopoulos , Alexandros A. Voudouris

We study the problem of selecting a representative committee of $k$ agents from a collection of $n$ agents in a common metric space. This problem is related to choosing $k$ facilities in facility location and $k$-median problems. However,…

计算机科学与博弈论 · 计算机科学 2025-10-27 Christopher Jerrett , Elliot Anshelevich

Facility Location problems ask to place facilities in a way that optimizes a given objective function so as to provide a service to all clients. These are one of the most well-studied optimization problems spanning many research areas such…

数据结构与算法 · 计算机科学 2020-07-01 Christine Markarian , Abdul-Nasser Kassar , Manal Yunis

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…

数据结构与算法 · 计算机科学 2019-07-09 Kangsan Kim , Yongho Shin , Hyung-Chan An

In this paper, we study a truthful two-obnoxious-facility location problem, in which each agent has a private location in [0, 1] and a public optional preference over two obnoxious facilities, and there is a minimum distance constraint d…

计算机科学与博弈论 · 计算机科学 2025-08-12 Xiaojia Han , Wenjing Liu , Qizhi Fang

We revisit the discrete heterogeneous two-facility location problem, in which there is a set of agents that occupy nodes of a line graph, and have private approval preferences over two facilities. When the facilities are located at some…

计算机科学与博弈论 · 计算机科学 2021-09-10 Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

We study strategic candidate positioning in multidimensional spatial-voting elections. Voters and candidates are represented as points in $\mathbb{R}^d$, and each voter supports the candidate that is closest under a distance induced by an…

计算机科学与博弈论 · 计算机科学 2025-08-20 Colin Cleveland , Bart de Keijzer , Maria Polukarov

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…

离散数学 · 计算机科学 2021-08-06 Felipe Carrasco Heine , Antonia Demleitner , Jannik Matuschke

In this paper, we study the two-facility location game on a line with optional preference where the acceptable set of facilities for each agent could be different and an agent's cost is his distance to the closest facility within his…

数据结构与算法 · 计算机科学 2019-07-23 Minming Li , Pinyan Lu , Yuhao Yao , Jialin Zhang

We initiate the study of the heterogeneous facility location problem with limited resources. We mainly focus on the fundamental case where a set of agents are positioned in the line segment [0,1] and have approval preferences over two…

计算机科学与博弈论 · 计算机科学 2021-05-07 Argyrios Deligkas , Aris Filos-Ratsikas , Alexandros A. Voudouris

Recent years have witnessed the rise of many successful e-commerce marketplace platforms like the Amazon marketplace, AirBnB, Uber/Lyft, and Upwork, where a central platform mediates economic transactions between buyers and sellers.…

计算机科学与博弈论 · 计算机科学 2018-03-01 Reza Alijani , Siddhartha Banerjee , Sreenivas Gollapudi , Kostas Kollias , Kamesh Munagala

Fairness considerations have motivated new clustering problems and algorithms in recent years. In this paper we consider the Priority Matroid Median problem which generalizes the Priority $k$-Median problem that has recently been studied.…

数据结构与算法 · 计算机科学 2023-07-10 Tanvi Bajpai , Chandra Chekuri

This paper considers the scenario in which there are multiple institutions, each with a limited capacity for candidates, and candidates, each with preferences over the institutions. A central entity evaluates the utility of each candidate…

数据结构与算法 · 计算机科学 2024-09-10 L. Elisa Celis , Amit Kumar , Nisheeth K. Vishnoi , Andrew Xu

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…

数据结构与算法 · 计算机科学 2017-04-25 Jarosław Byrka , Krzysztof Fleszar , Bartosz Rybicki , Joachim Spoerhase

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…

计算机科学与博弈论 · 计算机科学 2026-02-03 Yuhang Guo , Houyu Zhou

The facility location with strategic agents is a canonical problem in the literature on mechanism design without money. Recently, Agrawal et. al. considered this problem in the context of machine learning augmented algorithms, where the…

计算机科学与博弈论 · 计算机科学 2024-10-11 Qingyun Chen , Nick Gravin , Sungjin Im

We consider Online Facility Location in the framework of learning-augmented online algorithms. In Online Facility Location (OFL), demands arrive one-by-one in a metric space and must be (irrevocably) assigned to an open facility upon…

数据结构与算法 · 计算机科学 2024-08-20 Dimitris Fotakis , Evangelia Gergatsouli , Themis Gouleakis , Nikolas Patris , Thanos Tolias

We propose a new objective for option discovery that emphasizes the computational advantage of using options in planning. In a sequential machine, the speed of planning is proportional to the number of elementary operations used to achieve…

机器学习 · 计算机科学 2022-10-03 Yi Wan , Richard S. Sutton

This paper presents the design and analysis of parallel approximation algorithms for facility-location problems, including $\NC$ and $\RNC$ algorithms for (metric) facility location, $k$-center, $k$-median, and $k$-means. These problems…

数据结构与算法 · 计算机科学 2010-06-11 Guy E. Blelloch , Kanat Tangwongsan