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Dynamic facility location problems predominantly suppose a monopoly over the service or product provided. Nonetheless, this premise can be a severe oversimplification in the presence of market competitors, as customers may prefer facilities…

Optimization and Control · Mathematics 2026-02-20 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

Facility location decisions significantly impact customer behavior and consequently the resulting demand in a wide range of businesses. Furthermore, sequentially realized uncertain demand enforces strategically determining locations under…

Optimization and Control · Mathematics 2020-01-08 Beste Basciftci , Shabbir Ahmed , Siqian Shen

We consider a strategic decision-making problem where a logistics provider (LP) seeks to locate collection and delivery points (CDPs) with the objective to reduce total logistics costs. The customers maximize utility that depends on their…

Optimization and Control · Mathematics 2025-12-09 David Pinzon Ulloa , Ammar Metnani , Emma Frejinger

In typical applications of facility location problems, the location of demand is assumed to be an input to the problem. The demand may be fixed or dynamic, but ultimately outside the optimizers control. In contrast, there are settings,…

Optimization and Control · Mathematics 2022-11-24 Ali Kaan Kurbanzade , Julia Gaudio

In this paper, we study a facility location problem within a competitive market context, where customer demand is predicted by a random utility choice model. Unlike prior research, which primarily focuses on simple constraints such as a…

Artificial Intelligence · Computer Science 2024-03-12 Hoang Giang Pham , Tien Thanh Dam , Ngan Ha Duong , Tien Mai , Minh Hoang Ha

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

The facility location problem is a well-known challenge in logistics that is proven to be NP-hard. In this paper we specifically simulate the geographical placement of facilities to provide adequate service to customers. Determining…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-03 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

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…

Optimization and Control · Mathematics 2024-08-07 Ba Luat Le , Tien Mai , Thuy Anh Ta , Minh Hoang Ha , Duc Minh Vu

The maximum covering location problem (MCLP) is a key problem in facility location, with many applications and variants. One such variant is the dynamic (or multi-period) MCLP, which considers the installation of facilities across multiple…

Optimization and Control · Mathematics 2023-10-27 Steven Lamontagne , Margarida Carvalho , Ribal Atallah

Facility and covering location models are key elements in many decision aid tools in logistics, supply chain design, telecommunications, public infrastructure planning, and many other industrial and public sectors. In many applications, it…

Optimization and Control · Mathematics 2019-09-12 Eduardo Álvarez-Miranda , Markus Sinnl

Understanding the dynamics of evolving social or infrastructure networks is a challenge in applied areas such as epidemiology, viral marketing, or urban planning. During the past decade, data has been collected on such networks but has yet…

Social and Information Networks · Computer Science 2014-03-27 David Eisenstat , Claire Mathieu , Nicolas Schabanel

This paper introduces a general modeling framework for a multi-type maximal covering location problem in which the position of facilities in different metric spaces are simultaneously decided to maximize the demand generated by a set of…

Optimization and Control · Mathematics 2021-11-30 Víctor Blanco , Ricardo Gázquez , Francisco Saldanha-da-Gama

Edge computing allows Service Providers (SPs) to enhance user experience by placing their services closer to the network edge. Determining the optimal provisioning of edge resources to meet the varying and uncertain demand cost-effectively…

Optimization and Control · Mathematics 2024-12-23 Jiaming Cheng , Duong Thuy Anh Nguyen , Duong Tung Nguyen

We consider the facility location problem in the one-dimensional setting where each facility can serve a limited number of agents from the algorithmic and mechanism design perspectives. From the algorithmic perspective, we prove that the…

Computer Science and Game Theory · Computer Science 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

We study the metric facility location problem with client insertions and deletions. This setting differs from the classic dynamic facility location problem, where the set of clients remains the same, but the metric space can change over…

Data Structures and Algorithms · Computer Science 2019-09-17 Gramoz Goranci , Monika Henzinger , Dariusz Leniowski

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 study a variant of the competitive facility location problem, in which a company is to locate new facilities in a market where competitor's facilities already exist. We consider the scenario where only a limited number of possible…

Optimization and Control · Mathematics 2020-02-25 Yun Hui Lin , Qingyun Tian

In this paper, we introduce a mixed integer quadratic formulation for the congested variant of the partial set covering location problem, which involves determining a subset of facility locations to open and efficiently allocating customers…

Optimization and Control · Mathematics 2024-01-24 Alice Calamita , Ivana Ljubić , Laura Palagi

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…

Data Structures and Algorithms · Computer Science 2022-10-26 Sayan Bhattacharya , Silvio Lattanzi , Nikos Parotsidis

This paper studies a practical regional demand continuous multifacility location problems whose main goal is to locate a given number of services and entry points in each region to distribute certain products to the users at minimum…

Optimization and Control · Mathematics 2024-12-31 Víctor Blanco , Ricardo Gázquez , Marina Leal
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