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The Maximal Covering Location Problem (MCLP) represents a fundamental optimization challenge in facility location theory, where the objective is to maximize demand coverage while operating under resource constraints. This paper presents a…

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

We describe the first nearly linear-time approximation algorithms for explicitly given mixed packing/covering linear programs, and for (non-metric) fractional facility location. We also describe the first parallel algorithms requiring only…

数据结构与算法 · 计算机科学 2014-11-06 Neal E. Young

In this paper, we give the first constant approximation algorithm for the lower bounded facility location (LBFL) problem with general lower bounds. Prior to our work, such algorithms were only known for the special case where all facilities…

数据结构与算法 · 计算机科学 2018-05-08 Shi Li

The Maximal Covering Location Problem (MCLP) is a classical location problem where a company maximizes the demand covered by placing a given number of facilities, and each demand node is covered if the closest facility is within a…

最优化与控制 · 数学 2024-09-10 Concepción Domínguez , Ricardo Gázquez , Juan Miguel Morales , Salvador Pineda

We propose a new scalable algorithm for facility location. Facility location is a classic problem, where the goal is to select a subset of facilities to open, from a set of candidate facilities F , in order to serve a set of clients C. The…

分布式、并行与集群计算 · 计算机科学 2015-03-13 Kiran Garimella , Gianmarco De Francisci Morales , Aristides Gionis , Mauro Sozio

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

We provide nearly optimal algorithms for online facility location (OFL) with predictions. In OFL, $n$ demand points arrive in order and the algorithm must irrevocably assign each demand point to an open facility upon its arrival. The…

数据结构与算法 · 计算机科学 2022-08-08 Shaofeng H. -C. Jiang , Erzhi Liu , You Lyu , Zhihao Gavin Tang , Yubo Zhang

We take the classic facility location problem and consider a variation, in which each agent's individual cost function is equal to their distance from the facility multiplied by a scaling factor which is determined by the facility…

计算机科学与博弈论 · 计算机科学 2024-12-06 Yu He , Alexander Lam , Minming Li

In this paper, we propose a Feasible Sequential Linear Programming (FSLP) algorithm applied to time-optimal control problems (TOCP) obtained through direct multiple shooting discretization. This method is motivated by TOCP with nonlinear…

In this paper, we present a framework to design approximation algorithms for capacitated facility location problems with penalties/outliers using LP-rounding. Primal-dual technique, which has been particularly successful in dealing with…

数据结构与算法 · 计算机科学 2021-08-19 Rajni Dabas , Neelima Gupta

We first show that a better analysis of the algorithm for The Two-Sage Stochastic Facility Location Problem from Srinivasan \cite{sri07} and the algorithm for The Robust Fault Tolerant Facility Location Problem from Byrka et al \cite{bgs10}…

数据结构与算法 · 计算机科学 2013-05-13 Shuxin Cai , Wenguo Yang , Yaohua Tang

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…

离散数学 · 计算机科学 2021-08-06 Felipe Carrasco Heine , Antonia Demleitner , Jannik Matuschke

We give a new randomized LP-rounding 1.725-approximation algorithm for the metric Fault-Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithm of Swamy & Shmoys. To the…

数据结构与算法 · 计算机科学 2015-05-18 Jaroslaw Byrka , Aravind Srinivasan , Chaitanya Swamy

The \textit{facility location} problem consists of a set of \textit{facilities} $\mathcal{F}$, a set of \textit{clients} $\mathcal{C}$, an \textit{opening cost} $f_i$ associated with each facility $x_i$, and a \textit{connection cost}…

分布式、并行与集群计算 · 计算机科学 2013-08-14 James Hegeman , Sriram V. Pemmaraju

In this work we consider general facility location and social choice problems, in which sets of agents $\mathcal{A}$ and facilities $\mathcal{F}$ are located in a metric space, and our goal is to assign agents to facilities (as well as…

多智能体系统 · 计算机科学 2018-05-09 Elliot Anshelevich , Wennan Zhu

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 propose an annealing based framework to incorporate inequality constraints in optimization problems such as facility location, simultaneous facility location with path optimization, and the last mile delivery problem. These…

最优化与控制 · 数学 2020-02-11 Amber Srivastava , Gabriel Barsi Haberfeld , Naira Hovakimyan , Srinivasa M Salapaka

In this study we introduce a new method to solve the Dynamics Facility Layout Problems (DFLPs). To represent each layout, we use the slicing tree method integrated with our proposed heuristic to obtain promising initial solutions. Then, we…

最优化与控制 · 数学 2019-08-29 Afshin Oroojlooy Jadid , Mohammad Firouz

One of the most important open problems in machine scheduling is the problem of scheduling a set of jobs on unrelated machines to minimize the makespan. The best known approximation algorithm for this problem guarantees an approximation…

离散数学 · 计算机科学 2015-03-17 José Verschae , Andreas Wiese