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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

Packing problems constitute an important class of optimization problems, both because of their high practical relevance and theoretical appeal. However, despite the large number of variants that have been studied in the literature, most…

数据结构与算法 · 计算机科学 2020-12-09 Guido Schäfer , Bernard G. Zweers

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

The Uncapacitated Facility Location (UFL) problem is one of the most fundamental clustering problems: Given a set of clients $C$ and a set of facilities $F$ in a metric space $(C \cup F, dist)$ with facility costs $open : F \to…

数据结构与算法 · 计算机科学 2026-01-29 Vincent Cohen-Addad , Fabrizio Grandoni , Euiwoong Lee , Chris Schwiegelshohn

With the rapid growth of threats, sophistication and diversity in the manner of intrusion, traditional belt barrier systems are now faced with a major challenge of providing high and concrete coverage quality to expand the guarding service…

数据结构与算法 · 计算机科学 2022-07-26 Tu N. Nguyen , Bing-Hong Liu , My T. Thai , Ivan Djordjevic

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…

数据结构与算法 · 计算机科学 2023-10-16 Abdolhamid Ghodselahi , Fabian Kuhn

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…

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

In this paper, we address the problem of capacitated facility location problem with penalties (CapFLPP) paid per unit of unserved demand. In case of uncapacitated FLP with penalties demands of a client are either entirely met or are…

数据结构与算法 · 计算机科学 2014-09-15 Neelima Gupta , Shubham Gupta

In this paper, we study the generalized problem that minimizes or maximizes a multi-order complex quadratic form with constant-modulus constraints on all elements of its optimization variable. Such a mathematical problem is commonly…

信号处理 · 电气工程与系统科学 2025-08-28 Chunxuan Shi , Yongzhe Li , Ran Tao

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

This paper presents a novel approach to solve capacitated facility location problems (FLP) that encompass various resource allocation problems. FLPs are a class of NP-hard combinatorial optimization problems, involving optimal placement and…

最优化与控制 · 数学 2025-04-03 Alisina Bayati , Dhananjay Tiwari , Srinivasa Salapaka

We studied the Fault-Tolerant Facility Placement problem (FTFP) which generalizes the uncapacitated facility location problem (UFL). In FTFP, we are given a set F of sites at which facilities can be built, and a set C of clients with some…

数据结构与算法 · 计算机科学 2011-08-30 Li Yan , Marek Chrobak

In this paper, we propose the Ordered Median Tree Location Problem (OMT). The OMT is a single-allocation facility location problem where p facilities must be placed on a network connected by a non-directed tree. The objective is to minimize…

离散数学 · 计算机科学 2025-02-11 Miguel A. Pozo , Justo Puerto , Alberto Torrejon

The metric uncapacitated facility location problem (UFL) enjoys a special stature in approximation algorithms as a testbed for various techniques. Two generalizations of UFL are capacitated facility location (CFL) and lower-bounded facility…

数据结构与算法 · 计算机科学 2013-07-19 Stavros G. Kolliopoulos , Yannis Moysoglou

The Fault-Tolerant Facility Placement problem (FTFP) is a generalization of the classic Uncapacitated Facility Location Problem (UFL). In FTFP we are given a set of facility sites and a set of clients. Opening a facility at site $i$ costs…

数据结构与算法 · 计算机科学 2013-04-16 Li Yan , Marek Chrobak

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

Strategic product placement can have a strong influence on customer purchase behavior in physical stores as well as online platforms. Motivated by this, we consider the problem of optimizing the placement of substitutable products in…

数据结构与算法 · 计算机科学 2025-10-06 Omar El Housni , Rajan Udwani

We consider the uncertain multi-robot motion planning (MRMP) problem with cooperative localization (CL-MRMP), under both motion and measurement noise, where each robot can act as a sensor for its nearby teammates. We formalize CL-MRMP as a…

机器人学 · 计算机科学 2025-04-10 Anne Theurkauf , Nisar Ahmed , Morteza Lahijanian

The Multidepot Capacitated Vehicle Routing Problem (MCVRP) is a well-known variant of the classic Capacitated Vehicle Routing Problem (CVRP), where we need to route capacitated vehicles located in multiple depots to serve customers' demand…

数据结构与算法 · 计算机科学 2024-04-18 Jingyang Zhao , Mingyu Xiao

We introduce a problem that is a common generalization of the uncapacitated facility location and minimum latency (ML) problems, where facilities need to be opened to serve clients and also need to be sequentially activated before they can…

数据结构与算法 · 计算机科学 2010-09-14 Deeparnab Chakrabarty , Chaitanya Swamy