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In this work, we study the extension of two variants of the facility location problem (FL) to make them robust towards a few distantly located clients. First, $k$-facility location problem ($k$FL), a common generalization of FL and $k$…

Data Structures and Algorithms · Computer Science 2021-07-02 Rajni Dabas , Neelima Gupta

We study a competitive facility location problem, where customer behavior is modeled and predicted using a discrete choice random utility model. The goal is to strategically place new facilities to maximize the overall captured customer…

Optimization and Control · Mathematics 2024-12-24 Cuong Le , Tien Mai , Ngan Ha Duong , Minh Hoang Ha

Clustering problems are well-studied in a variety of fields such as data science, operations research, and computer science. Such problems include variants of centre location problems, $k$-median, and $k$-means to name a few. In some cases,…

Data Structures and Algorithms · Computer Science 2017-07-17 Zachary Friggstad , Kamyar Khodamoradi , Mohsen Rezapour , Mohammad R. Salavatipour

We study a joint facility location and cost planning problem in a competitive market under random utility maximization (RUM) models. The objective is to locate new facilities and make decisions on the costs (or budgets) to spend on the new…

Optimization and Control · Mathematics 2024-01-17 Ngan Ha Duong , Tien Thanh Dam , Thuy Anh Ta , Tien Mai

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…

Data Structures and Algorithms · Computer Science 2024-08-20 Dimitris Fotakis , Evangelia Gergatsouli , Themis Gouleakis , Nikolas Patris , Thanos Tolias

In the Constrained Fault-Tolerant Resource Allocation (FTRA) problem, we are given a set of sites containing facilities as resources, and a set of clients accessing these resources. Specifically, each site i is allowed to open at most R_i…

Data Structures and Algorithms · Computer Science 2015-03-20 Kewen Liao , Hong Shen , Longkun Guo

In this paper, we study locating charging station problem as facility location problem and its variants ($k$-Median, $k$-Facility location and $k$-center). We study the connectivity and the capacity constraints in these problem. Capacity…

Data Structures and Algorithms · Computer Science 2022-02-15 Rajni Dabas , Neelima Gupta

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

We present a randomized distributed approximation algorithm for the metric uncapacitated facility location problem. The algorithm is executed on a bipartite graph in the Congest model yielding a (1.861 + epsilon) approximation factor, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-09 Patrick Briest , Bastian Degener , Barbara Kempkes , Peter Kling , Peter Pietrzyk

Recent years have seen great progress in the approximability of fundamental clustering and facility location problems on high-dimensional Euclidean spaces, including $k$-Means and $k$-Median. While they admit strictly better approximation…

Data Structures and Algorithms · Computer Science 2025-01-31 Euiwoong Lee , Kijun Shin

In this paper we propose an extension of the Uncapacitated Hub Location Problem where the potential positions of the hubs are not fixed in advance. Instead, they are allowed to belong to a region around an initial discrete set of nodes. We…

Optimization and Control · Mathematics 2020-01-31 Víctor Blanco , Justo Puerto

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…

Discrete Mathematics · Computer Science 2021-08-06 Felipe Carrasco Heine , Antonia Demleitner , Jannik Matuschke

We consider the uncapacitated facility location problem with (linear) penalty function and show that a modified JMS algorithm, combined with a randomized LP rounding technique due to Byrka-Aardal[1], Li[14] and Li et al.[16] yields 1.488…

Data Structures and Algorithms · Computer Science 2016-09-29 Xian Qiu , Walter Kern

The development of 5G networks has enabled support for a vast number of applications with stringent traffic requirements, both in terms of communication and computation. Furthermore, the proximity of the entities, such as edge servers and…

Networking and Internet Architecture · Computer Science 2024-07-11 Endri Goshi , Hasanin Harkous , Shohreh Ahvar , Rastin Pries , Fidan Mehmeti , Wolfgang Kellerer

We introduce an online variant of mobile facility location (MFL) (introduced by Demaine et al. [SODA' 07]). We call this new problem online mobile facility location (OMFL). In the OMFL problem, initially, we are given a set of $k$ mobile…

Data Structures and Algorithms · Computer Science 2023-10-16 Abdolhamid Ghodselahi , Fabian Kuhn

With growing emphasis on e-commerce marketplace platforms where we have a central platform mediating between the seller and the buyer, it becomes important to keep a check on the availability and profitability of the central store. A store…

Data Structures and Algorithms · Computer Science 2021-06-28 Sapna Grover , Neelima Gupta , Rajni Dabas

In this paper, we provide a rigorous theoretical investigation of an online learning version of the Facility Location problem which is motivated by emerging problems in real-world applications. In our formulation, we are given a set of…

Machine Learning · Computer Science 2020-07-07 Stephen Pasteris , Ting He , Fabio Vitale , Shiqiang Wang , Mark Herbster

This work proposes an adaptation of the Facility Location Problem for the optimal placement of on-orbit servicing depots for satellite constellations in high-altitude orbit. The high-altitude regime, such as Medium Earth Orbit (MEO), is a…

Systems and Control · Electrical Eng. & Systems 2024-04-01 Yuri Shimane , Nick Gollins , Koki Ho

The performance of federated learning (FL) over wireless networks depend on the reliability of the client-server connectivity and clients' local computation capabilities. In this article we investigate the problem of client scheduling and…

Machine Learning · Computer Science 2021-06-15 Madhusanka Manimel Wadu , Sumudu Samarakoon , Mehdi Bennis

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…

Data Structures and Algorithms · Computer Science 2019-07-09 Kangsan Kim , Yongho Shin , Hyung-Chan An