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We study a robust version of the maximum capture facility location problem in a competitive market, assuming that each customer chooses among all available facilities according to a random utility maximization (RUM) model. We employ the…

最优化与控制 · 数学 2024-01-17 Anh Thuy Ta , Tien Thanh Dam , Tien Mai

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…

人工智能 · 计算机科学 2024-03-12 Hoang Giang Pham , Tien Thanh Dam , Ngan Ha Duong , Tien Mai , Minh Hoang Ha

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…

最优化与控制 · 数学 2026-02-20 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

We study the maximum capture problem in facility location under random utility models, i.e., the problem of seeking to locate new facilities in a competitive market such that the captured user demand is maximized, assuming that each…

最优化与控制 · 数学 2022-03-29 Tien Thanh Dam , Thuy Anh Ta , Tien Mai

We study a version of the metric facility location problem (or, equivalently, variants of the committee selection problem) in which we must choose $k$ facilities in an arbitrary metric space to serve some set of clients $C$. We consider…

数据结构与算法 · 计算机科学 2025-07-24 Yue Han , Elliot Anshelevich

We study a general class of quadratic capacitated $p$-location problems facility location problems with single assignment where a non-separable, non-convex, quadratic term is introduced in the objective function to account for the…

最优化与控制 · 数学 2021-07-22 C. A. Zetina , I. Contreras , S. Jayaswal

This paper considers facility location problems in which a firm entering a market seeks to open facilities on a subset of candidate locations so as to maximize its expected market share, assuming that customers choose the available…

最优化与控制 · 数学 2024-02-19 Robin Legault , 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,…

最优化与控制 · 数学 2022-11-24 Ali Kaan Kurbanzade , Julia Gaudio

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…

最优化与控制 · 数学 2024-12-24 Cuong Le , Tien Mai , Ngan Ha Duong , Minh Hoang Ha

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…

最优化与控制 · 数学 2020-02-25 Yun Hui Lin , Qingyun Tian

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…

最优化与控制 · 数学 2021-11-30 Víctor Blanco , Ricardo Gázquez , Francisco Saldanha-da-Gama

We address the problem of locating facilities on the $[0,1]$ interval based on reports from strategic agents. The cost of each agent is her distance to the closest facility, and the global objective is to minimize either the maximum cost of…

计算机科学与博弈论 · 计算机科学 2017-01-04 Iddan Golomb , Christos Tzamos

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…

数据结构与算法 · 计算机科学 2026-02-24 Fateme Abbasi , Martin Böhm , Jarosław Byrka , Matin Mohammadi , Yongho Shin

Dynamic facility location problems aim at placing one or more valuable resources over a planning horizon to meet customer demand. Existing literature commonly assumes that customer demand quantities are defined independently for each time…

最优化与控制 · 数学 2025-09-29 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

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

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 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…

计算机科学与博弈论 · 计算机科学 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

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

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 the capacitated hub location problem is formulated by a minimax regret model, which takes into account uncertain setup cost and demand. We focus on hub location with multiple allocations as a strategic problem requiring one…

数据结构与算法 · 计算机科学 2017-09-19 Iman Kazemian , Samin Aref
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