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We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

Optimization and Control · Mathematics 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

We consider algorithms for solving structured convex optimization problems over a network of agents with communication delays. It is assumed that each agent performs its local updates by using possibly outdated information from its…

Optimization and Control · Mathematics 2020-09-14 Puya Latafat , Panagiotis Patrinos

We consider cooperative multi-agent resource sharing problems over time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific composite convex functions subject…

Optimization and Control · Mathematics 2019-08-27 Necdet Serhat Aybat , Erfan Yazdandoost Hamedani

Consider a system in which tasks of different execution times arrive continuously and have to be executed by a set of processors that are prone to crashes and restarts. In this paper we model and study the impact of parallelism and failures…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-11 Antonio Fernández Anta , Chryssis Georgiou , Dariusz R. Kowalski , Elli Zavou

We study a wholesale supply chain ordering problem. In this problem, the supplier has an initial stock, and faces an unpredictable stream of incoming orders, making real-time decisions on whether to accept or reject each order. What makes…

Data Structures and Algorithms · Computer Science 2025-04-08 Will Ma , David Simchi-Levi , Jinglong Zhao

We study the problem of fair online resource allocation via non-monetary mechanisms, where multiple agents repeatedly share a resource without monetary transfers. Previous work has shown that every agent can guarantee $1/2$ of their ideal…

Computer Science and Game Theory · Computer Science 2025-05-27 David X. Lin , Daniel Hall , Giannis Fikioris , Siddhartha Banerjee , Éva Tardos

Online resource allocation problems are central challenges in economics and computer science, modeling situations in which $n$ items arriving one at a time must each be immediately allocated among $m$ agents. In such problems, our objective…

Data Structures and Algorithms · Computer Science 2025-10-14 Kalen Patton

Submodular function maximization has been studied extensively in recent years under various constraints and models. The problem plays a major role in various disciplines. We study a natural online variant of this problem in which elements…

Data Structures and Algorithms · Computer Science 2015-01-26 Niv Buchbinder , Moran Feldman , Roy Schwartz

The fractional knapsack problem is one of the classical problems in combinatorial optimization, which is well understood in the offline setting. However, the corresponding online setting has been handled only briefly in the theoretical…

Data Structures and Algorithms · Computer Science 2022-01-31 Jeff Giliberti , Andreas Karrenbauer

We study two online resource allocation problems with reusability in an adversarial setting, namely kRental-Fixed and kRental-Variable. In both problems, a decision-maker manages $k$ identical reusable units and faces a sequence of rental…

Data Structures and Algorithms · Computer Science 2025-07-30 Hossein Nekouyan , Bo Sun , Raouf Boutaba , Xiaoqi Tan

We study online task assignment problem with reusable resources, motivated by practical applications such as ridesharing, crowdsourcing and job hiring. In the problem, we are given a set of offline vertices (agents), and, at each time, an…

Data Structures and Algorithms · Computer Science 2022-03-16 Hanna Sumita , Shinji Ito , Kei Takemura , Daisuke Hatano , Takuro Fukunaga , Naonori Kakimura , Ken-ichi Kawarabayashi

The performance of computer networks relies on how bandwidth is shared among different flows. Fair resource allocation is a challenging problem particularly when the flows evolve over time.To address this issue, bandwidth sharing techniques…

Networking and Internet Architecture · Computer Science 2017-11-28 Zaid Allybokus , Konstantin Avrachenkov , Jérémie Leguay , Lorenzo Maggi

We study online learning problems in which a decision maker has to make a sequence of costly decisions, with the goal of maximizing their expected reward while adhering to budget and return-on-investment (ROI) constraints. Existing…

Computer Science and Game Theory · Computer Science 2024-03-05 Matteo Castiglioni , Andrea Celli , Christian Kroer

We study a fundamental model of resource allocation in which a finite number of resources must be assigned in an online manner to a heterogeneous stream of customers. The customers arrive randomly over time according to known stochastic…

Optimization and Control · Mathematics 2018-05-16 Clifford Stein , Van-Anh Truong , Xinshang Wang

In several applications of real-time matching of demand to supply in online marketplaces, the platform allows for some latency to batch the demand and improve the efficiency. Motivated by these applications, we study the optimal trade-off…

Data Structures and Algorithms · Computer Science 2022-12-01 Yiding Feng , Rad Niazadeh

Matching problems with group-fairness constraints and diversity constraints have numerous applications such as in allocation problems, committee selection, school choice, etc. Moreover, online matching problems have lots of applications in…

Data Structures and Algorithms · Computer Science 2023-08-04 Anand Louis , Meghana Nasre , Prajakta Nimbhorkar , Govind S. Sankar

We study flow scheduling under node capacity constraints. We are given capacitated nodes and an online sequence of jobs, each with a release time and a demand to be routed between two nodes. A schedule specifies which jobs are routed in…

Data Structures and Algorithms · Computer Science 2021-11-17 Searidang Pa , Rajmohan Rajaraman , David Stalfa

We consider the Online Rent Minimization problem, where online jobs with release times, deadlines, and processing times must be scheduled on machines that can be rented for a fixed length period of $T$. The objective is to minimize the…

Data Structures and Algorithms · Computer Science 2023-07-03 Enze Sun , Zonghan Yang , Yuhao Zhang

This paper addresses the design and analysis of feedback-based online algorithms to control systems or networked systems based on performance objectives and engineering constraints that may evolve over time. The emerging time-varying convex…

Optimization and Control · Mathematics 2019-03-27 Andrey Bernstein , Emiliano Dall'Anese , Andrea Simonetto

We consider the following scheduling problem. There is a single machine and the jobs will arrive for completion online. Each job j is preemptive and, upon its arrival, its other characteristics are immediately revealed to the machine: the…

Data Structures and Algorithms · Computer Science 2015-09-14 Patrick Loiseau , Xiaohu Wu