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Ensuring fairness in matching algorithms is a key challenge in allocating scarce resources and positions. Focusing on Optimal Transport (OT), we introduce a novel notion of group fairness requiring that the probability of matching two…

Machine Learning · Statistics 2026-02-02 Linus Bleistein , Mathieu Dagréou , Francisco Andrade , Thomas Boudou , Aurélien Bellet

Settings such as lending and policing can be modeled by a centralized agent allocating a resource (loans or police officers) amongst several groups, in order to maximize some objective (loans given that are repaid or criminals that are…

Machine Learning · Computer Science 2018-11-16 Hadi Elzayn , Shahin Jabbari , Christopher Jung , Michael Kearns , Seth Neel , Aaron Roth , Zachary Schutzman

The proportional fair resource allocation problem is a major problem studied in flow control of networks, operations research, and economic theory, where it has found numerous applications. This problem, defined as the constrained…

Optimization and Control · Mathematics 2022-11-29 Francisco Criado , David Martínez-Rubio , Sebastian Pokutta

Mobility-on-demand systems are transforming the way we think about the transportation of people and goods. Most research effort has been placed on scalability issues for systems with a large number of agents and simple pick-up/drop-off…

Formal Languages and Automata Theory · Computer Science 2022-08-15 Kaier Liang , Cristian-Ioan Vasile

Express companies are deploying more robotic sorting systems, where mobile robots are used to sort incoming parcels by destination. In this study, we propose an integrated assignment and path-finding method for robots in such sorting…

Robotics · Computer Science 2023-03-08 Yiduo Huang , Zuojun Shen

The paper studies a distributed constrained optimization problem, where multiple agents connected in a network collectively minimize the sum of individual objective functions subject to a global constraint being an intersection of the local…

Optimization and Control · Mathematics 2016-03-08 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

Fair resource allocation is a fundamental optimization problem with applications in operations research, networking, and economic and game theory. Research in these areas has led to the general acceptance of a class of $\alpha$-fair utility…

Data Structures and Algorithms · Computer Science 2020-11-17 Jelena Diakonikolas , Maryam Fazel , Lorenzo Orecchia

This paper proposes an optimal allocation problem with ramified transport technology in a spatial economy. Ramified transportation is used to model the transport economy of scale in group transportation observed widely in both nature and…

Optimization and Control · Mathematics 2021-09-02 Qinglan Xia , Shaofeng Xu

We study the classical rent division problem, where $n$ agents must allocate $n$ indivisible rooms and split a fixed total rent $R$. The goal is to compute an envy-free (EF) allocation, where no agent prefers another agent's room and rent…

Computer Science and Game Theory · Computer Science 2025-10-08 Rohith Reddy Gangam , Shayan Taherijam , Vijay V. Vazirani

In this paper, we present a novel approach for robust optimal resource allocation with joint carrier aggregation to allocate multiple carriers resources optimally among users with elastic and inelastic traffic in cellular networks. We use…

Networking and Internet Architecture · Computer Science 2015-07-07 Haya Shajaiah , Ahmed Abdelhadi , T. Charles Clancy

We study a novel problem of fairness in ranking aimed at minimizing the amount of individual unfairness introduced when enforcing group-fairness constraints. Our proposal is rooted in the distributional maxmin fairness theory, which uses…

Machine Learning · Computer Science 2021-06-18 David Garcia-Soriano , Francesco Bonchi

This paper introduces a framework for estimating fair optimal predictions using machine learning where the notion of fairness can be quantified using path-specific causal effects. We use a recently developed approach based on Lagrange…

Machine Learning · Computer Science 2024-08-06 Razieh Nabi , David Benkeser

We study resource allocation in two-sided markets from a fundamental perspective and introduce a general modeling and algorithmic framework to effectively incorporate the complex and multidimensional aspects of fairness. Our main technical…

Computer Science and Game Theory · Computer Science 2025-06-03 Javier Cembrano , Andrés Moraga , Victor Verdugo

Vehicle (bike or car) sharing represents an emerging transportation scheme which may comprise an important link in the green mobility chain of smart city environments. This chapter offers a comprehensive review of algorithmic approaches for…

Data Structures and Algorithms · Computer Science 2015-10-06 Damianos Gavalas , Charalampos Konstantopoulos , Grammati Pantziou

Over the past two decades, fair resource allocation problems have received considerable attention in a variety of application areas. However, little progress has been made in the design of distributed algorithms with convergence guarantees…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-17 Jelena Marasevic , Cliff Stein , Gil Zussman

Platooning is a promising cooperative driving application for future intelligent transportation systems. In order to assign vehicles to platoons, some algorithm for platoon formation is required. Such vehicle-to-platoon assignments have to…

Multiagent Systems · Computer Science 2025-06-17 Julian Heinovski , Falko Dressler

The theory of algorithmic fair allocation is within the center of multi-agent systems and economics in the last decade due to its industrial and social importance. At a high level, the problem is to assign a set of items that are either…

Computer Science and Game Theory · Computer Science 2022-02-18 Haris Aziz , Bo Li , Herve Moulin , Xiaowei Wu

Efficient resource allocation is challenging when privacy of users is important. Distributed approaches have recently been used extensively to find a solution for such problems. In this work, the efficiency of distributed AIMD algorithm for…

Computer Science and Game Theory · Computer Science 2018-04-23 Hamid Nabati , Jia Yuan Yu

Vehicle-sharing systems are becoming important for urban transportation. In these systems, users arrive at a station, pick up a vehicle, use it for a while and then return it to another station of their choice. Depending on the type of…

Probability · Mathematics 2015-04-16 Cédric Bourdais , Christine Fricker

We consider the allocation of limited resources to heterogeneous customers who arrive in an online fashion. We would like to allocate the resources "fairly", so that no group of customers is marginalized in terms of their overall service…

Data Structures and Algorithms · Computer Science 2021-05-24 Will Ma , Pan Xu , Yifan Xu