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We consider a multi-stage facility reallocation problems on the real line, where a facility is being moved between time stages based on the locations reported by $n$ agents. The aim of the reallocation algorithm is to minimise the social…

计算机科学与博弈论 · 计算机科学 2021-03-25 Bart de Keijzer , Dominik Wojtczak

We consider a truthful facility location problem with agents that have private positions on the line of real numbers and known optional preferences over two obnoxious facilities that must be placed at locations chosen from a given set of…

计算机科学与博弈论 · 计算机科学 2024-10-22 Panagiotis Kanellopoulos , Alexandros A. Voudouris

The recent large scale availability of mobility data, which captures individual mobility patterns, poses novel operational problems that are exciting and challenging. Motivated by this, we introduce and study a variant of the…

数据结构与算法 · 计算机科学 2023-12-12 Ozan Candogan , Yiding Feng

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…

数据结构与算法 · 计算机科学 2025-08-05 Rajni Dabas , Samir Khuller , Emilie Rivkin

In this paper, we give the first constant approximation algorithm for the lower bounded facility location (LBFL) problem with general lower bounds. Prior to our work, such algorithms were only known for the special case where all facilities…

数据结构与算法 · 计算机科学 2018-05-08 Shi Li

The study of approximate mechanism design for facility location problems has been in the center of research at the intersection of artificial intelligence and economics for the last decades, largely due to its practical importance in…

计算机科学与博弈论 · 计算机科学 2021-06-10 Hau Chan , Aris Filos-Ratsikas , Bo Li , Minming Li , Chenhao Wang

We consider the facility location problem in a metric space, focusing on the case of three agents. We show that selecting the reported location of each agent with probability proportional to the distance between the other two agents results…

计算机科学与博弈论 · 计算机科学 2019-07-09 Reshef Meir

We consider the classic facility location problem in fully dynamic data streams, where elements can be both inserted and deleted. In this problem, one is interested in maintaining a stable and high quality solution throughout the data…

数据结构与算法 · 计算机科学 2022-10-26 Sayan Bhattacharya , Silvio Lattanzi , Nikos Parotsidis

We develop two simple and efficient approximation algorithms for the continuous $k$-medians problems, where we seek to find the optimal location of $k$ facilities among a continuum of client points in a convex polygon $C$ with $n$ vertices…

最优化与控制 · 数学 2023-06-28 Reyhaneh Mohammadi , Raghuveer Devulapalli , Mehdi Behroozi

We consider a facility location game in which $n$ agents reside at known locations on a path, and $k$ heterogeneous facilities are to be constructed on the path. Each agent is adversely affected by some subset of the facilities, and is…

计算机科学与博弈论 · 计算机科学 2023-05-23 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

A basic task in the design of a robotic production cell is the relative placement of robot and workpiece. The fundamental requirement is that the robot can reach all process positions; only then one can think of further optimization.…

机器人学 · 计算机科学 2019-01-03 Martin Weiß

We study a competitive facility location problem (CFLP), where two firms sequentially open new facilities within their budgets, in order to maximize their market shares of demand that follows a probabilistic choice model. This process is a…

最优化与控制 · 数学 2022-07-19 Mingyao Qi , Ruiwei Jiang , Siqian Shen

We study heterogeneous $k$-facility location games. In this model there are $k$ facilities where each facility serves a different purpose. Thus, the preferences of the agents over the facilities can vary arbitrarily. Our goal is to design…

计算机科学与博弈论 · 计算机科学 2020-10-13 Eleftherios Anastasiadis , Argyrios Deligkas

Fair facility location problems try to balance access costs to open facilities borne by different groups of people by minimizing the $L_p$ norm of these group distances. However, there is no clear choice of "$p$" in the current literature.…

数据结构与算法 · 计算机科学 2024-06-21 Swati Gupta , Jai Moondra , Mohit Singh

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…

最优化与控制 · 数学 2017-11-16 A. Brancolini , G. Buttazzo , F. Santambrogio , E. Stepanov

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…

最优化与控制 · 数学 2024-08-07 Ba Luat Le , Tien Mai , Thuy Anh Ta , Minh Hoang Ha , Duc Minh Vu

We consider the {\em mobile facility location} (\mfl) problem. We are given a set of facilities and clients located in a common metric space. The goal is to move each facility from its initial location to a destination and assign each…

数据结构与算法 · 计算机科学 2013-01-21 Sara Ahmadian , Zachary Friggstad , Chaitanya Swamy

In this paper, we investigate the Mechanism Design aspects of the $m$-Capacitated Facility Location Problem ($m$-CFLP) on a line. We focus on two frameworks. In the first framework, the number of facilities is arbitrary, all facilities have…

计算机科学与博弈论 · 计算机科学 2024-04-23 Gennaro Auricchio , Zihe Wang , Jie Zhang

In search and advertisement ranking, it is often required to simultaneously maximize multiple objectives. For example, the objectives can correspond to multiple intents of a search query, or in the context of advertising, they can be…

数据结构与算法 · 计算机科学 2024-10-17 Nikhil R. Devanur , Sivakanth Gopi

We study the extended version of the non-uniform, capacitated facility location problem with multiple fulfilment channels between the facilities and clients, each with their own channel capacities and service cost. Though the problem has…

最优化与控制 · 数学 2023-04-24 Etika Agarwal , Karthik S. Gurumoorthy , Ankit Ajit Jain , Shantala Manchenahally