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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

In the smart grid, the intent is to use flexibility in demand, both to balance demand and supply as well as to resolve potential congestion. A first prominent example of such flexible demand is the charging of electric vehicles, which do…

Computational Complexity · Computer Science 2024-03-14 Mathijs de Weerdt , Michael Albert , Vincent Conitzer

In this paper we study three previously unstudied variants of the online Facility Location problem, considering an intrinsic scenario when the clients and facilities are not only allowed to arrive to the system, but they can also depart at…

Data Structures and Algorithms · Computer Science 2018-07-12 Marek Cygan , Artur Czumaj , Marcin Mucha , Piotr Sankowski

This work addresses electric vehicle (EV) charging station placement through a bi-level optimization model, where the upper-level planner maximizes net revenue by selecting station locations under budget constraints, while EV users at the…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Mobina Nankali , Michael W. Levin

This article presents a matheuristic algorithm for the single-source capacitated facility location problem (SSCFLP) and its variants: SSCFLP with K facilities (SSCKFLP), SSCFLP with contiguous service areas (CFLSAP), and SSCFLP with K…

Discrete Mathematics · Computer Science 2021-12-28 Yunfeng Kong

This paper presents fast, distributed, $O(1)$-approximation algorithms for metric facility location problems with outliers in the Congested Clique model, Massively Parallel Computation (MPC) model, and in the $k$-machine model. The paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-16 Tanmay Inamdar , Shreyas Pai , Sriram V. Pemmaraju

The problem of constrained $k$-center clustering has attracted significant attention in the past decades. In this paper, we study balanced $k$-center cluster where the size of each cluster is constrained by the given lower and upper bounds.…

Computational Geometry · Computer Science 2017-04-11 Hu Ding

Electrified shared mobility services need to handle charging infrastructure planning and manage their daily charging operations to minimize total charging operation time and cost. However, existing studies tend to address these problems…

Optimization and Control · Mathematics 2022-09-29 Tai-Yu Ma , Simin Xie

In this paper, we study a dynamic pickup and delivery problem with docking constraints. There is a homogeneous fleet of vehicles to serve pickup-and-delivery requests at given locations. The vehicles can be loaded up to their capacity,…

Optimization and Control · Mathematics 2025-01-10 Markó Horváth , Tamás Kis , Péter Györgyi

We consider the problem of capacitated kinetic clustering in which $n$ mobile terminals and $k$ base stations with respective operating capacities are given. The task is to assign the mobile terminals to the base stations such that the…

Networking and Internet Architecture · Computer Science 2016-02-29 Chien-Chun Ni , Zhengyu Su , Jie Gao , Xianfeng David Gu

In recent years, electric vehicle (EV) charging stations have witnessed a rapid growth. However, effective management of charging stations is challenging due to individual EV owners' privacy concerns, competing interests of different…

Systems and Control · Electrical Eng. & Systems 2022-06-15 Dongxiang Yan , Chengbin Ma , Yue Chen

We study the non-uniform capacitated multi-item lot-sizing (\lotsizing) problem. In this problem, there is a set of demands over a planning horizon of $T$ time periods and all demands must be satisfied on time. We can place an order at the…

Data Structures and Algorithms · Computer Science 2016-10-10 Shi Li

Cleaning pollution from a heterogeneous flow environment is far from simple. We consider the flow capture problem, which has flows and sinks in a heterogeneous environment, and investigate the problem of positioning pollutant capture units.…

Physics and Society · Physics 2018-10-03 Lachlan D. Smith , Guy Metcalfe , Julio M. Ottino

Clustering is a long-standing research problem and a fundamental tool in AI and data analysis. The traditional k-center problem, a fundamental theoretical challenge in clustering, has a best possible approximation ratio of 2, and any…

Machine Learning · Computer Science 2026-04-28 Chaoqi Jia , Longkun Guo , Kewen Liao , Zhigang Lu , Chao Chen , Jason Xue

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

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…

Computer Science and Game Theory · Computer Science 2017-01-04 Iddan Golomb , Christos Tzamos

Given two points s and t in the plane and a set of obstacles defined by closed curves, what is the minimum number of obstacles touched by a path connecting s and t? This is a fundamental and well-studied problem arising naturally in…

Computational Geometry · Computer Science 2020-12-01 Neeraj Kumar , Daniel Lokshtanov , Saket Saurabh , Subhash Suri

Clustering problems such as $k$-Median, and $k$-Means, are motivated from applications such as location planning, unsupervised learning among others. In such applications, it is important to find the clustering of points that is not…

Data Structures and Algorithms · Computer Science 2023-05-03 Rajni Dabas , Neelima Gupta , Tanmay Inamdar

We study the Capacitated k-Median problem for which existing constant-factor approximation algorithms are all pseudo-approximations that violate either the capacities or the upper bound k on the number of open facilities. Using the natural…

Data Structures and Algorithms · Computer Science 2016-05-12 Gökalp Demirci , Shi Li

The capacitated p-center problem requires to select p facilities from a set of candidates to service a number of customers, subject to facility capacity constraints, with the aim of minimizing the maximum distance between a customer and its…

Data Structures and Algorithms · Computer Science 2018-03-14 Raphael Kramer , Manuel Iori , Thibaut Vidal