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We study a dynamic non-bipartite matching problem. There is a fixed set of agent types, and agents of a given type arrive and depart according to type-specific Poisson processes. Agent departures are not announced in advance. The value of a…

Computer Science and Game Theory · Computer Science 2021-01-12 Natalie Collina , Nicole Immorlica , Kevin Leyton-Brown , Brendan Lucier , Neil Newman

In an attempt to make algorithms fair, the machine learning literature has largely focused on equalizing decisions, outcomes, or error rates across race or gender groups. To illustrate, consider a hypothetical government rideshare program…

Machine Learning · Computer Science 2024-02-14 Alex Chohlas-Wood , Madison Coots , Henry Zhu , Emma Brunskill , Sharad Goel

We study a dispatching and pricing problem in two-sided spatial queues with fixed supply, motivated by ride-hailing and robotaxi platforms. Idle drivers queue on one side, waiting to pick up riders, while riders queue on the other, waiting…

Optimization and Control · Mathematics 2026-03-17 Ang Xu , Chiwei Yan

This study investigates the integration of forecasting and optimization in energy management systems, with a focus on the role of switching costs -- penalties incurred from frequent operational adjustments. We develop a theoretical and…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Evgenii Genov , Julian Ruddick , Christoph Bergmeir , Majid Vafaeipour , Thierry Coosemans , Salvador Garcia , Maarten Messagie

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

In mobile edge computing systems, base stations (BSs) equipped with edge servers can provide computing services to users to reduce their task execution time. However, there is always a conflict of interest between the BS and users. The BS…

Machine Learning · Computer Science 2024-07-08 Yiming Chen , Xingyuan Hu , Bo Gu , Shimin Gong , Zhou Su

The online bipartite matching problem, extensively studied in the literature, deals with the allocation of online arriving vertices (items) to a predetermined set of offline vertices (agents). However, little attention has been given to the…

Computer Science and Game Theory · Computer Science 2024-10-28 MohammadTaghi Hajiaghayi , Shayan Chashm Jahan , Mohammad Sharifi , Suho Shin , Max Springer

We consider the online Minimum-Cost Perfect Matching with Delays (MPMD) problem introduced by Emek et al. (STOC 2016), in which a general metric space is given, and requests are submitted in different times in this space by an adversary.…

Data Structures and Algorithms · Computer Science 2018-08-08 Yossi Azar , Amit Jacob-Fanani

We propose a numerical algorithm for computing approximately optimal solutions of the matching for teams problem. Our algorithm is efficient for problems involving large number of agent categories and allows for non-discrete agent type…

Optimization and Control · Mathematics 2025-05-27 Ariel Neufeld , Qikun Xiang

We introduce a fully online model of maximum cardinality matching in which all vertices arrive online. On the arrival of a vertex, its incident edges to previously-arrived vertices are revealed. Each vertex has a deadline that is after all…

Data Structures and Algorithms · Computer Science 2018-02-13 Zhiyi Huang , Ning Kang , Zhihao Gavin Tang , Xiaowei Wu , Yuhao Zhang , Xue Zhu

We study the performance of general dynamic matching models. This model is defined by a connected graph, where nodes represent the class of items and the edges the compatibilities between items. Items of different classes arrive one by one…

Computer Science and Game Theory · Computer Science 2020-09-22 Arnaud Cadas , Josu Doncel , Jean-Michel Fourneau , Ana Bušić

In the load balancing problem, each node in a network is assigned a load, and the goal is to equally distribute the loads among the nodes, by preforming local load exchanges. While load balancing was extensively studied in static networks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 Seth Gilbert , Uri Meir , Ami Paz , Gregory Schwartzman

In the online bipartite matching with reassignments problem, an algorithm is initially given only one side of the vertex set of a bipartite graph; the vertices on the other side are revealed to the algorithm one by one, along with its…

Data Structures and Algorithms · Computer Science 2020-03-12 Yongho Shin , Kangsan Kim , Seungmin Lee , Hyung-Chan An

In content moderation for social media platforms, the cost of delaying the review of a content is proportional to its view trajectory, which fluctuates and is apriori unknown. Motivated by such uncertain holding costs, we consider a…

Data Structures and Algorithms · Computer Science 2025-05-28 Caner Gocmen , Thodoris Lykouris , Deeksha Sinha , Wentao Weng

Bipartite matching, where agents on one side of a market are matched to agents or items on the other, is a classical problem in computer science and economics, with widespread application in healthcare, education, advertising, and general…

Data Structures and Algorithms · Computer Science 2017-08-17 Faez Ahmed , John P. Dickerson , Mark Fuge

We study the problem of online learning in competitive settings in the context of two-sided matching markets. In particular, one side of the market, the agents, must learn about their preferences over the other side, the firms, through…

Artificial Intelligence · Computer Science 2022-06-07 Chinmay Maheshwari , Eric Mazumdar , Shankar Sastry

We revisit the online dynamic acknowledgment problem. In the problem, a sequence of requests arrive over time to be acknowledged, and all outstanding requests can be satisfied simultaneously by one acknowledgement. The goal of the problem…

Data Structures and Algorithms · Computer Science 2023-05-30 Sungjin Im , Benjamin Moseley , Chenyang Xu , Ruilong Zhang

Stochastic dynamic matching problems have recently gained attention in the stochastic-modeling community due to their diverse applications, such as supply-chain management and kidney exchange programs. In this paper, we study a matching…

Networking and Internet Architecture · Computer Science 2025-11-13 Céline Comte , Fabien Mathieu , Sushil Mahavir Varma , Ana Bušić

Online matching problems have garnered significant attention in recent years due to numerous applications in e-commerce, online advertisements, ride-sharing, etc. Many of them capture the uncertainty in the real world by including…

Data Structures and Algorithms · Computer Science 2019-06-24 Brian Brubach , Karthik Abinav Sankararaman , Aravind Srinivasan , Pan Xu

Automatic numerical algorithms attempt to provide approximate solutions that differ from exact solutions by no more than a user-specified error tolerance. The computational cost is often determined \emph{adaptively} by the algorithm based…

Numerical Analysis · Mathematics 2015-01-16 Nicholas Clancy , Yuhan Ding , Caleb Hamilton , Fred J. Hickernell , Yizhi Zhang
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