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Facility Location (FL) problems as one of the most important problems in operations research aim to determine the location of a set of facilities in a way that the total costs, including costs of opening facilities and transportation costs,…

最优化与控制 · 数学 2021-04-23 Ali Akbar Sadat Asl , Ali Rouhani

We consider the robust single-source capacitated facility location problem with uncertainty in customer demands. A cardinality-constrained uncertainty set is assumed for the robust problem. To solve it efficiently, we propose an…

最优化与控制 · 数学 2021-03-25 Jaehyeon Ryu , Sungsoo Park

We attack the 4-level facility location problem (4L-FLP), a critical component in supply chains. Foundational tasks here involve selecting markets, plants, warehouses, and distribution centers to maximize profits while considering related…

最优化与控制 · 数学 2025-04-22 Bahram Alidaee , Haibo Wang

Given facilities with capacities and clients with penalties and demands, the transportation problem with market choice consists in finding the minimum-cost way to partition the clients into unserved clients, paying the penalties, and into…

数据结构与算法 · 计算机科学 2016-08-23 Karen Aardal , Pierre Le Bodic

We introduce a strategic decision-making problem faced by logistics providers (LPs) seeking facility location decisions that lead to profitable operations. The profitability depends on the revenue generated through agreements with shippers,…

最优化与控制 · 数学 2024-06-13 David Pinzon , Emma Frejinger , Bernard Gendron

We study the facility location games with candidate locations from a mechanism design perspective. Suppose there are n agents located in a metric space whose locations are their private information, and a group of candidate locations for…

计算机科学与博弈论 · 计算机科学 2020-11-02 Zhongzheng Tang , Chenhao Wang , Mengqi Zhang , Yingchao Zhao

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…

数据结构与算法 · 计算机科学 2013-12-09 Stavros G. Kolliopoulos , Yannis Moysoglou

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

In traditional facility location problems, a set of points is provided, and the objective is to determine the best location for a new facility based on criteria such as minimizing cost, time, and distances between clients and facilities.…

最优化与控制 · 数学 2025-03-11 Nazanin Tour-Savadkoohi , Jafar Fathali

In this paper, we consider the fault-tolerant $k$-median problem and give the \emph{first} constant factor approximation algorithm for it. In the fault-tolerant generalization of classical $k$-median problem, each client $j$ needs to be…

数据结构与算法 · 计算机科学 2014-01-27 Mohammadtaghi Hajiaghayi , Wei Hu , Jian Li , Shi Li , Barna Saha

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

In the online non-metric variant of the facility location problem, there is a given graph consisting of a set $F$ of facilities (each with a certain opening cost), a set $C$ of potential clients, and weighted connections between them. The…

数据结构与算法 · 计算机科学 2021-01-12 Marcin Bienkowski , Björn Feldkord , Paweł Schmidt

There is a long history of approximation schemes for the problem of scheduling jobs on identical machines to minimize the makespan. Such a scheme grants a $(1+\epsilon)$-approximation solution for every $\epsilon > 0$, but the running time…

数据结构与算法 · 计算机科学 2021-07-30 Sebastian Berndt , Max A. Deppert , Klaus Jansen , Lars Rohwedder

The augmentation of algorithms with predictions of the optimal solution, such as from a machine-learning algorithm, has garnered significant attention in recent years, particularly in facility location problems. Moving beyond the…

计算机科学与博弈论 · 计算机科学 2026-02-05 Haris Aziz , Yuhang Guo , Alexander Lam , Houyu Zhou

The facility location game has been studied extensively in mechanism design. In the classical model, each agent's cost is solely determined by her distance to the nearest facility. In this paper, we introduce a novel model where each…

计算机科学与博弈论 · 计算机科学 2024-04-16 Mengfan Ma , Mingyu Xiao , Tian Bai , Bakh Khoussainov

Motivated by scheduling in Geo-distributed data analysis, we propose a target location problem for multi-commodity flow (LoMuF for short). Given commodities to be sent from their resources, LoMuF aims at locating their targets so that the…

数据结构与算法 · 计算机科学 2020-05-25 Xingwu Liu , Zhida Pan , Yuyi Wang

The facility location problem (FLP) is a classical combinatorial optimization challenge aimed at strategically laying out facilities to maximize their accessibility. In this paper, we propose a reinforcement learning method tailored to…

机器学习 · 计算机科学 2024-09-09 Hongyuan Su , Yu Zheng , Jingtao Ding , Depeng Jin , Yong Li

We study a variation of facility location problems (FLPs) that aims to improve the accessibility of agents to the facility within the context of mechanism design without money. In such a variation, agents have preferences on the ideal…

计算机科学与博弈论 · 计算机科学 2024-09-16 Hau Chan , Jianan Lin , Chenhao Wang , Yanxi Xie

In the strategic facility location problem, a set of agents report their locations in a metric space and the goal is to use these reports to open a new facility, minimizing an aggregate distance measure from the agents to the facility.…

计算机科学与博弈论 · 计算机科学 2024-11-06 Eric Balkanski , Vasilis Gkatzelis , Golnoosh Shahkarami

We study the non-uniform capacitated multi-item lot-sizing (\lotsizing) problem. In this problem, there is a set of demands over a planning horizon of $T$ time periods and all demands must be satisfied on time. We can place an order at the…

数据结构与算法 · 计算机科学 2016-10-10 Shi Li