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$ $In many optimization problems, a feasible solution induces a multi-dimensional cost vector. For example, in load-balancing a schedule induces a load vector across the machines. In $k$-clustering, opening $k$ facilities induces an…

Data Structures and Algorithms · Computer Science 2018-11-14 Deeparnab Chakrabarty , Chaitanya Swamy

To gain theoretical insight into the relationship between parking scarcity and congestion, we describe block-faces of curbside parking as a network of queues. Due to the nature of this network, canonical queueing network results are not…

Optimization and Control · Mathematics 2017-03-24 Chase Dowling , Tanner Fiez , Lillian Ratliff , Baosen Zhang

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…

Optimization and Control · Mathematics 2025-04-03 Alisina Bayati , Dhananjay Tiwari , Srinivasa Salapaka

Two common approaches in low-rank optimization problems are either working directly with a rank constraint on the matrix variable, or optimizing over a low-rank factorization so that the rank constraint is implicitly ensured. In this paper,…

Optimization and Control · Mathematics 2020-12-17 Wooseok Ha , Haoyang Liu , Rina Foygel Barber

Regarding the concepts of urban management, digital transformation, and smart cities, various issues are presented. Currently, we like to attend to location allocation problems that can be a new part of digital transformation in urban…

Computers and Society · Computer Science 2024-12-10 Aref Ayati , Mohammad Mahdi Hashemi , Mohsen Saffar , Hamid Reza Naji

r-gathering problem is a variant of facility location problems. In this problem, we are given a set of users and a set of facilities on same metric space. We open some of the facilities and assign each user to an open facility, so that at…

Data Structures and Algorithms · Computer Science 2019-07-10 Soh Kumabe , Takanori Maehara

We consider the {\em mobile facility location} (\mfl) problem. We are given a set of facilities and clients located in a common metric space. The goal is to move each facility from its initial location to a destination and assign each…

Data Structures and Algorithms · Computer Science 2013-01-21 Sara Ahmadian , Zachary Friggstad , Chaitanya Swamy

In this paper, we present a novel problem of optimal placement of sensor nodes in wirelessly rechargeable Wireless Sensor Networks (WSNs) wrt. a charging requirement constraint and a task utility requirement constraint. We call this problem…

Networking and Internet Architecture · Computer Science 2018-05-22 Md Solimul Chowdhury

As demand for electric vehicles (EVs) is expanding, meeting the need for charging infrastructure, especially in urban areas, has become a critical issue. One method of adding charging stations is to install them at parking spots. This…

Computer Science and Game Theory · Computer Science 2019-04-23 Brendan Badia , Randall Berry , Ermin Wei

In this paper, we provide a rigorous theoretical investigation of an online learning version of the Facility Location problem which is motivated by emerging problems in real-world applications. In our formulation, we are given a set of…

Machine Learning · Computer Science 2020-07-07 Stephen Pasteris , Ting He , Fabio Vitale , Shiqiang Wang , Mark Herbster

Clustering with capacity constraints is a fundamental problem that attracted significant attention throughout the years. In this paper, we give the first FPT constant-factor approximation algorithm for the problem of clustering points in a…

Data Structures and Algorithms · Computer Science 2024-02-21 Sayan Bandyapadhyay , William Lochet , Saket Saurabh

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 the facility location problem, the task is to place one or more facilities so as to minimize the sum of the agent costs for accessing their nearest facility. Heretofore, in the strategic version, agent locations have been assumed to be…

Computer Science and Game Theory · Computer Science 2025-05-26 Richard Cole , Pranav Jangir

Bus electrification plays a crucial role in advancing urban transportation sustainability. Battery Electric Buses (BEBs), however, often need recharging, making the Problem of Locating and Allocating Charging Equipment for BEBs (PLACE-BEB)…

Optimization and Control · Mathematics 2024-10-16 Sadjad Bazarnovi , Taner Cokyasar , Omer Verbas , Abolfazl Kouros Mohammadian

Motivated by group-project distribution, we introduce and study stable matching under the constraint of applicants needing to share a location to be matched with the same institute, which we call the Location-Restricted Stable Matching…

Data Structures and Algorithms · Computer Science 2025-08-05 Garret Castro

The many-to-one stable matching problem provides the fundamental abstraction of several real-world matching markets such as school choice and hospital-resident allocation. The agents on both sides are often referred to as residents and…

Computational Complexity · Computer Science 2022-05-04 Federico Bobbio , Margarida Carvalho , Andrea Lodi , Alfredo Torrico

In this work, we study a range of constrained versions of the $k$-supplier and $k$-center problems such as: capacitated, fault-tolerant, fair, etc. These problems fall under a broad framework of constrained clustering. A unified framework…

Data Structures and Algorithms · Computer Science 2021-10-28 Dishant Goyal , Ragesh Jaiswal

In this paper, we study the fault-tolerant matroid median and fault-tolerant knapsack median problems. These two problems generalize many fundamental clustering and facility location problems, such as uniform fault-tolerant $k$-median,…

Data Structures and Algorithms · Computer Science 2022-05-11 Shichuan Deng

We study the \LowerBoundedCenter (\lbc) problem, which is a clustering problem that can be viewed as a variant of the \kCenter problem. In the \lbc problem, we are given a set of points P in a metric space and a lower bound \lambda, and the…

Computational Geometry · Computer Science 2013-04-30 Alina Ene , Sariel Har-Peled , Benjamin Raichel

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…

Data Structures and Algorithms · Computer Science 2020-12-09 Guido Schäfer , Bernard G. Zweers